Journal of Theoretical Physics & Mathematics Research, 2024
It is shown that any eigenstate of quantum harmonic oscillator and the coherent state and the squ... more It is shown that any eigenstate of quantum harmonic oscillator and the coherent state and the squeezed state displays quantum contextuality by the violation of a noncontextuality inequality.
In recent development of the choice functions many investigators accept that social preferences m... more In recent development of the choice functions many investigators accept that social preferences maintain usually non-uniformity. This paper tries to establish the nature of non-uniformity that it mixes up with two distinct properties of preferences: immobility and steadiness. It is shown here that steadiness and immobility together imply uniformity but the converse does not hold. Now if steadiness be disposed of from the preferences of a firm, firm cannot obey the rule of immobility but may follow the rule of uniformity. It indicates that social choices of a firm must maintain uniformity and steadiness.
In recent development of the choice functions many investigators accept that social preferences m... more In recent development of the choice functions many investigators accept that social preferences maintain usually non-uniformity. This paper tries to establish the nature of non-uniformity that it mixes up with two distinct properties of preferences: immobility and steadiness. It is shown here that steadiness and immobility together imply uniformity but the converse does not hold. Now if steadiness be disposed of from the preferences of a firm, firm cannot obey the rule of immobility but may follow the rule of uniformity. It indicates that social choices of a firm must maintain uniformity and steadiness.
Journal of Matematical Techniniques and Computational Mathematics, 2022
The problem of fastest descent is solved by the calculus of variations which is a branch of mathe... more The problem of fastest descent is solved by the calculus of variations which is a branch of mathematics dealing with
the optimization problem of physical quantities. In this paper, profit maximization problems are judged by using this
idea. In an economic system profit velocity and time are key factors to optimize policy. That is why we have investigated the path of the profit function and the minimum time to reach the final destination of a profit function by utilizing a
unitary operator. Given two states, the starting profit function and the targeted profit function, there is a path which
optimizes the economic policy in a least possible time among different paths. This investigation uses the unitary
transformation, which transforms the starting profit function to the targeted profit function in the least possible time.
Journal of Mathematical Techniques and Computational Mathematics, 2022
The problem of fastest descent is solved by the calculus of variations which is a branch of mathe... more The problem of fastest descent is solved by the calculus of variations which is a branch of mathematics dealing with the optimization problem of physical quantities. In this paper, profit maximization problems are judged by using this idea. In an economic system profit velocity and time are key factors to optimize policy. That is why we have investigated the path of the profit function and the minimum time to reach the final destination of a profit function by utilizing a unitary operator. Given two states, the starting profit function and the targeted profit function, there is a path which optimizes the economic policy in a least possible time among different paths. This investigation uses the unitary transformation, which transforms the starting profit function to the targeted profit function in the least possible time.
The problem of fastest descent is solved by the calculus of variations which is a branch of mathe... more The problem of fastest descent is solved by the calculus of variations which is a branch of mathematics dealing with the optimization problem of physical quantities. In this paper, profit maximization problems are judged by using this idea. In an economic system profit velocity and time are key factors to optimize policy. That is why we have investigated the path of the profit function and the minimum time to reach the final destination of a profit function by utilizing a unitary operator. Given two states, the starting profit function and the targeted profit function, there is a path which optimizes the economic policy in a least possible time among different paths. This investigation uses the unitary transformation, which transforms the starting profit function to the targeted profit function in the least possible time.JEL Classifications: C61; D21
This paper considers the prospects for constructing a model of TFP of investment, technological p... more This paper considers the prospects for constructing a model of TFP of investment, technological progress and growth of the technological share in TFP that determines the nature of economic growth. Two models are considered: a model emphasizing investment, technological progress and its impact on TFP and a model emphasizing a relation of investment, TFP and growth of technological share in TFP through the experience process. The claims in mode 1 and model 2 presented here differ from those in most standard economic literature: the relation between investment and TFP is considered, the relation between technological efficiency and technological progress is established and their effect on TFP is shown. A quotient between technological progress and investment is constructed that hampers the growth of technological progress. This gives a caution to the financial institutions about the enhancement of the quotient
The problem of fastest descent is solved by the calculus of variations. Calculus of variations is... more The problem of fastest descent is solved by the calculus of variations. Calculus of variations is a branch of mathematics dealing with the optimization problem of physical quantities. In this paper, profit maximization problems are judged by using this idea. Profit velocity and time are key factors to optimize policy. That is why we have investigated the path of the profit function and the minimum time to reach the final destination of a profit function by utilizing a unitary operator. Given two states, the starting profit function and the targeted profit function, there exist different paths belonging to the set. This investigation uses the unitary transformation, which transforms the starting profit function to the targeted profit function in the least possible time.
The paper offers two new insights in the context of the Mahatma Gandhi national rural employment ... more The paper offers two new insights in the context of the Mahatma Gandhi national rural employment guarantee act (MGNREGA) in India: first, we establish that migration of the skilled workers can occur under the MGNREGA scheme due to the low wage rate while the quality of work degrades as skilled workers migrate. As a result, we argue, only subsidies can offer a helpline in this regard. Secondly, this paper also argues that the political economy assumes critical importance for any welfare intervention like MGNREGA. We hence model the political economy of rural sector to explain why MGNREGA policies can fail. We show that, in situations where political parties and politicians can sequentially commit first to de facto (local) tax rates, and then levels and distribution of local public goods such as institutions and infrastructure, the political equilibrium is an underprovision equilibrium. In the underprovision equilibrium, the local government at the grass-root level of democracy choose...
Increased human populations and the resulting encroachment of related lands with poaching of tige... more Increased human populations and the resulting encroachment of related lands with poaching of tigers and their key prey threaten the survival of tigers across their range. Mere collection of huge data on ecology does not promote the protection of carnivores but it mainly depends on public co-operation and awareness. The public attitude towards carnivores (Panthera tigris tigris) is vital because fear pervades among the local inhabitants. Our target population consisted of all adults inhabitants. We sampled arbitrarily founded on geographic area. We guessed that the best data collection method would involve sampling at home of the residents by personal interview with the questionnaires due to huge illiteracy of the inhabitants. Proceeding this way was time-consuming but proved to increase the quality of responses. We studied villagers’ mind-set and collected information on public awareness, feelings and frequency of sightings related to the tigers. They were conscious of its existence...
The conventional wisdom regarding long term linkage between technological development, population... more The conventional wisdom regarding long term linkage between technological development, population growth and sustainable development stretches the efficacy of technology too far. There were many phases in recorded history, where contemporary technological development, which temporarily served the cause of economic growth, went against natural balance. The problem is not with technology but with its judicious use. In a Cobb-Douglas framework, land requirement is very often normalized to be one for functional convenience. Our argument is not against that simplification as such. One of the main objectives of this enquiry is to see whether any major changes occur in the conclusions drawn under conventional specification, if land requirement for urbanization, agriculture and forestry is introduced into the system separately. Introduction of land may substantially change some of the conclusions derived from an over-simplified framework. The conclusions from present investigation may not be in disharmony with the history of technology, population dynamics and sustainable economic progress, given cross-country heterogeneity across the world particularly between the developed and developing world. Therefore, land requirement for other purposes particularly for agriculture, forest and environmental balance must be incorporated into the models of development by all governments in the developing countries.
This paper considers the prospects for constructing a model of TFP of investment,
technological ... more This paper considers the prospects for constructing a model of TFP of investment, technological progress and growth of the technological share in TFP that determines the nature of economic growth. Two models are considered: a model emphasizing investment, technological progress and its impact on TFP and a model emphasizing a relation of investment, TFP and growth of technological share in TFP through the experience process. The claims in mode 1 and model 2 presented here differ from those in most standard economic literature: the relation between investment and TFP is considered, the relation between technological efficiency and technological progress is established and their effect on TFP is shown. A quotient between technological progress and investment is constructed that hampers the growth of technological progress. This gives a caution to the financial institutions about the enhancement of the quotient
Some generating functions of Gegenbauer polynomials have been obtained with the help of local tra... more Some generating functions of Gegenbauer polynomials have been obtained with the help of local transformation of groups.
In this paper generating functions of Laguerre Polynomials L_(n )^α(x) have been obtained with th... more In this paper generating functions of Laguerre Polynomials L_(n )^α(x) have been obtained with the help of Lie theoretic method of W. Miller by giving suitable interpretation to the parameter α.
Journal of Theoretical Physics & Mathematics Research, 2024
It is shown that any eigenstate of quantum harmonic oscillator and the coherent state and the squ... more It is shown that any eigenstate of quantum harmonic oscillator and the coherent state and the squeezed state displays quantum contextuality by the violation of a noncontextuality inequality.
In recent development of the choice functions many investigators accept that social preferences m... more In recent development of the choice functions many investigators accept that social preferences maintain usually non-uniformity. This paper tries to establish the nature of non-uniformity that it mixes up with two distinct properties of preferences: immobility and steadiness. It is shown here that steadiness and immobility together imply uniformity but the converse does not hold. Now if steadiness be disposed of from the preferences of a firm, firm cannot obey the rule of immobility but may follow the rule of uniformity. It indicates that social choices of a firm must maintain uniformity and steadiness.
In recent development of the choice functions many investigators accept that social preferences m... more In recent development of the choice functions many investigators accept that social preferences maintain usually non-uniformity. This paper tries to establish the nature of non-uniformity that it mixes up with two distinct properties of preferences: immobility and steadiness. It is shown here that steadiness and immobility together imply uniformity but the converse does not hold. Now if steadiness be disposed of from the preferences of a firm, firm cannot obey the rule of immobility but may follow the rule of uniformity. It indicates that social choices of a firm must maintain uniformity and steadiness.
Journal of Matematical Techniniques and Computational Mathematics, 2022
The problem of fastest descent is solved by the calculus of variations which is a branch of mathe... more The problem of fastest descent is solved by the calculus of variations which is a branch of mathematics dealing with
the optimization problem of physical quantities. In this paper, profit maximization problems are judged by using this
idea. In an economic system profit velocity and time are key factors to optimize policy. That is why we have investigated the path of the profit function and the minimum time to reach the final destination of a profit function by utilizing a
unitary operator. Given two states, the starting profit function and the targeted profit function, there is a path which
optimizes the economic policy in a least possible time among different paths. This investigation uses the unitary
transformation, which transforms the starting profit function to the targeted profit function in the least possible time.
Journal of Mathematical Techniques and Computational Mathematics, 2022
The problem of fastest descent is solved by the calculus of variations which is a branch of mathe... more The problem of fastest descent is solved by the calculus of variations which is a branch of mathematics dealing with the optimization problem of physical quantities. In this paper, profit maximization problems are judged by using this idea. In an economic system profit velocity and time are key factors to optimize policy. That is why we have investigated the path of the profit function and the minimum time to reach the final destination of a profit function by utilizing a unitary operator. Given two states, the starting profit function and the targeted profit function, there is a path which optimizes the economic policy in a least possible time among different paths. This investigation uses the unitary transformation, which transforms the starting profit function to the targeted profit function in the least possible time.
The problem of fastest descent is solved by the calculus of variations which is a branch of mathe... more The problem of fastest descent is solved by the calculus of variations which is a branch of mathematics dealing with the optimization problem of physical quantities. In this paper, profit maximization problems are judged by using this idea. In an economic system profit velocity and time are key factors to optimize policy. That is why we have investigated the path of the profit function and the minimum time to reach the final destination of a profit function by utilizing a unitary operator. Given two states, the starting profit function and the targeted profit function, there is a path which optimizes the economic policy in a least possible time among different paths. This investigation uses the unitary transformation, which transforms the starting profit function to the targeted profit function in the least possible time.JEL Classifications: C61; D21
This paper considers the prospects for constructing a model of TFP of investment, technological p... more This paper considers the prospects for constructing a model of TFP of investment, technological progress and growth of the technological share in TFP that determines the nature of economic growth. Two models are considered: a model emphasizing investment, technological progress and its impact on TFP and a model emphasizing a relation of investment, TFP and growth of technological share in TFP through the experience process. The claims in mode 1 and model 2 presented here differ from those in most standard economic literature: the relation between investment and TFP is considered, the relation between technological efficiency and technological progress is established and their effect on TFP is shown. A quotient between technological progress and investment is constructed that hampers the growth of technological progress. This gives a caution to the financial institutions about the enhancement of the quotient
The problem of fastest descent is solved by the calculus of variations. Calculus of variations is... more The problem of fastest descent is solved by the calculus of variations. Calculus of variations is a branch of mathematics dealing with the optimization problem of physical quantities. In this paper, profit maximization problems are judged by using this idea. Profit velocity and time are key factors to optimize policy. That is why we have investigated the path of the profit function and the minimum time to reach the final destination of a profit function by utilizing a unitary operator. Given two states, the starting profit function and the targeted profit function, there exist different paths belonging to the set. This investigation uses the unitary transformation, which transforms the starting profit function to the targeted profit function in the least possible time.
The paper offers two new insights in the context of the Mahatma Gandhi national rural employment ... more The paper offers two new insights in the context of the Mahatma Gandhi national rural employment guarantee act (MGNREGA) in India: first, we establish that migration of the skilled workers can occur under the MGNREGA scheme due to the low wage rate while the quality of work degrades as skilled workers migrate. As a result, we argue, only subsidies can offer a helpline in this regard. Secondly, this paper also argues that the political economy assumes critical importance for any welfare intervention like MGNREGA. We hence model the political economy of rural sector to explain why MGNREGA policies can fail. We show that, in situations where political parties and politicians can sequentially commit first to de facto (local) tax rates, and then levels and distribution of local public goods such as institutions and infrastructure, the political equilibrium is an underprovision equilibrium. In the underprovision equilibrium, the local government at the grass-root level of democracy choose...
Increased human populations and the resulting encroachment of related lands with poaching of tige... more Increased human populations and the resulting encroachment of related lands with poaching of tigers and their key prey threaten the survival of tigers across their range. Mere collection of huge data on ecology does not promote the protection of carnivores but it mainly depends on public co-operation and awareness. The public attitude towards carnivores (Panthera tigris tigris) is vital because fear pervades among the local inhabitants. Our target population consisted of all adults inhabitants. We sampled arbitrarily founded on geographic area. We guessed that the best data collection method would involve sampling at home of the residents by personal interview with the questionnaires due to huge illiteracy of the inhabitants. Proceeding this way was time-consuming but proved to increase the quality of responses. We studied villagers’ mind-set and collected information on public awareness, feelings and frequency of sightings related to the tigers. They were conscious of its existence...
The conventional wisdom regarding long term linkage between technological development, population... more The conventional wisdom regarding long term linkage between technological development, population growth and sustainable development stretches the efficacy of technology too far. There were many phases in recorded history, where contemporary technological development, which temporarily served the cause of economic growth, went against natural balance. The problem is not with technology but with its judicious use. In a Cobb-Douglas framework, land requirement is very often normalized to be one for functional convenience. Our argument is not against that simplification as such. One of the main objectives of this enquiry is to see whether any major changes occur in the conclusions drawn under conventional specification, if land requirement for urbanization, agriculture and forestry is introduced into the system separately. Introduction of land may substantially change some of the conclusions derived from an over-simplified framework. The conclusions from present investigation may not be in disharmony with the history of technology, population dynamics and sustainable economic progress, given cross-country heterogeneity across the world particularly between the developed and developing world. Therefore, land requirement for other purposes particularly for agriculture, forest and environmental balance must be incorporated into the models of development by all governments in the developing countries.
This paper considers the prospects for constructing a model of TFP of investment,
technological ... more This paper considers the prospects for constructing a model of TFP of investment, technological progress and growth of the technological share in TFP that determines the nature of economic growth. Two models are considered: a model emphasizing investment, technological progress and its impact on TFP and a model emphasizing a relation of investment, TFP and growth of technological share in TFP through the experience process. The claims in mode 1 and model 2 presented here differ from those in most standard economic literature: the relation between investment and TFP is considered, the relation between technological efficiency and technological progress is established and their effect on TFP is shown. A quotient between technological progress and investment is constructed that hampers the growth of technological progress. This gives a caution to the financial institutions about the enhancement of the quotient
Some generating functions of Gegenbauer polynomials have been obtained with the help of local tra... more Some generating functions of Gegenbauer polynomials have been obtained with the help of local transformation of groups.
In this paper generating functions of Laguerre Polynomials L_(n )^α(x) have been obtained with th... more In this paper generating functions of Laguerre Polynomials L_(n )^α(x) have been obtained with the help of Lie theoretic method of W. Miller by giving suitable interpretation to the parameter α.
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Papers by Partha Dube
the optimization problem of physical quantities. In this paper, profit maximization problems are judged by using this
idea. In an economic system profit velocity and time are key factors to optimize policy. That is why we have investigated the path of the profit function and the minimum time to reach the final destination of a profit function by utilizing a
unitary operator. Given two states, the starting profit function and the targeted profit function, there is a path which
optimizes the economic policy in a least possible time among different paths. This investigation uses the unitary
transformation, which transforms the starting profit function to the targeted profit function in the least possible time.
technological progress and growth of the technological share in TFP that determines the
nature of economic growth. Two models are considered: a model emphasizing investment,
technological progress and its impact on TFP and a model emphasizing a relation of
investment, TFP and growth of technological share in TFP through the experience process.
The claims in mode 1 and model 2 presented here differ from those in most standard
economic literature: the relation between investment and TFP is considered, the relation
between technological efficiency and technological progress is established and their effect on
TFP is shown. A quotient between technological progress and investment is constructed that
hampers the growth of technological progress. This gives a caution to the financial
institutions about the enhancement of the quotient
the optimization problem of physical quantities. In this paper, profit maximization problems are judged by using this
idea. In an economic system profit velocity and time are key factors to optimize policy. That is why we have investigated the path of the profit function and the minimum time to reach the final destination of a profit function by utilizing a
unitary operator. Given two states, the starting profit function and the targeted profit function, there is a path which
optimizes the economic policy in a least possible time among different paths. This investigation uses the unitary
transformation, which transforms the starting profit function to the targeted profit function in the least possible time.
technological progress and growth of the technological share in TFP that determines the
nature of economic growth. Two models are considered: a model emphasizing investment,
technological progress and its impact on TFP and a model emphasizing a relation of
investment, TFP and growth of technological share in TFP through the experience process.
The claims in mode 1 and model 2 presented here differ from those in most standard
economic literature: the relation between investment and TFP is considered, the relation
between technological efficiency and technological progress is established and their effect on
TFP is shown. A quotient between technological progress and investment is constructed that
hampers the growth of technological progress. This gives a caution to the financial
institutions about the enhancement of the quotient