Many living organisms on Earth are strongly dependent on water, the natural liquid of the planet.... more Many living organisms on Earth are strongly dependent on water, the natural liquid of the planet. A possible reason for that could be the conjecture of Ryoji Takahashi [Phys. Lett. A 141, 15 (1989)] that water microdrops release negentropy through a phase transition to a phase with zero surface tension. Biological cells could make use of such a phase transition in their duty cycle. We comment on the relative merit of this conjecture, and present it in wider theoretical context.
Abstract: We briefly present the supersymmetric double Darboux method and next apply it to the co... more Abstract: We briefly present the supersymmetric double Darboux method and next apply it to the continuum of the quantum Taub cosmological model as a toy model in order to generate a one-parameter family of bosonic Taub potentials and the corresponding wavefunctions. Recently, extensive work has been devoted to generating quasi-isospectral potentials by the methods of supersymmetric quantum mechanics (SUSYQM) [1]. This work starts from the one dimensional (1D) Schrödinger equation with a given potential (called “bosonic ” potential V−), whose “ground-state ” (nodeless) wave function is known too. The method allows one to generate families of new potentials, which may look quite different form the original one, but have the same discrete spectrum up to the ground state. SUSYQM is in fact based on a procedure already known to Darboux [2]. We shall use an extension of SUSYQM formalism based on the general Riccati equation and on a state U0(x) of a potential V−(x), by which one can gener...
We study the power spectrum of a class of noise effects generated by means of a digital-like diso... more We study the power spectrum of a class of noise effects generated by means of a digital-like disorder in the traveling variable of the conjectured Ginzburg-Landau-Montroll kink excitations moving along the walls of the microtubules. We have found a 1/f α noise with α ∈ (1.82-2.04) on the time scales we have considered.
Fisher’s arrow of ‘time’ in a cosmological phase space defined as in quantum optics (i.e.,
whose... more Fisher’s arrow of ‘time’ in a cosmological phase space defined as in quantum optics (i.e.,
whose points are coherent states) is introduced as follows. Assuming that the phase space evolution of the universe starts from an initial squeezed cosmological state towards a final thermal one, a Fokker-Planck equation for the time-dependent, cosmological Q phase space probability distribution can be written down. Next, using some recent results in the literature, we derive an information arrow of time for the Fisher phase space cosmological entropy based on the Q function. We also mention the application of Fisher’s arrow of time to stochastic inflation models.
A short discussion is provided on the hypothesis of strange quark dust of low specific charge in ... more A short discussion is provided on the hypothesis of strange quark dust of low specific charge in the terrestrial magnetosphere. We suggest by means of rough estimates the possible existence of a strangelet belt in the magnetosphere.
Many living organisms on Earth are strongly dependent on water, the natural liquid of the planet.... more Many living organisms on Earth are strongly dependent on water, the natural liquid of the planet. A possible reason for that could be the conjecture of Ryoji Takahashi [Phys. Lett. A 141, 15 (1989)] that water microdrops release negentropy through a phase transition to a phase with zero surface tension. Biological cells could make use of such a phase transition in their duty cycle. We comment on the relative merit of this conjecture, and present it in wider theoretical context.
Abstract: We briefly present the supersymmetric double Darboux method and next apply it to the co... more Abstract: We briefly present the supersymmetric double Darboux method and next apply it to the continuum of the quantum Taub cosmological model as a toy model in order to generate a one-parameter family of bosonic Taub potentials and the corresponding wavefunctions. Recently, extensive work has been devoted to generating quasi-isospectral potentials by the methods of supersymmetric quantum mechanics (SUSYQM) [1]. This work starts from the one dimensional (1D) Schrödinger equation with a given potential (called “bosonic ” potential V−), whose “ground-state ” (nodeless) wave function is known too. The method allows one to generate families of new potentials, which may look quite different form the original one, but have the same discrete spectrum up to the ground state. SUSYQM is in fact based on a procedure already known to Darboux [2]. We shall use an extension of SUSYQM formalism based on the general Riccati equation and on a state U0(x) of a potential V−(x), by which one can gener...
We study the power spectrum of a class of noise effects generated by means of a digital-like diso... more We study the power spectrum of a class of noise effects generated by means of a digital-like disorder in the traveling variable of the conjectured Ginzburg-Landau-Montroll kink excitations moving along the walls of the microtubules. We have found a 1/f α noise with α ∈ (1.82-2.04) on the time scales we have considered.
Fisher’s arrow of ‘time’ in a cosmological phase space defined as in quantum optics (i.e.,
whose... more Fisher’s arrow of ‘time’ in a cosmological phase space defined as in quantum optics (i.e.,
whose points are coherent states) is introduced as follows. Assuming that the phase space evolution of the universe starts from an initial squeezed cosmological state towards a final thermal one, a Fokker-Planck equation for the time-dependent, cosmological Q phase space probability distribution can be written down. Next, using some recent results in the literature, we derive an information arrow of time for the Fisher phase space cosmological entropy based on the Q function. We also mention the application of Fisher’s arrow of time to stochastic inflation models.
A short discussion is provided on the hypothesis of strange quark dust of low specific charge in ... more A short discussion is provided on the hypothesis of strange quark dust of low specific charge in the terrestrial magnetosphere. We suggest by means of rough estimates the possible existence of a strangelet belt in the magnetosphere.
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Papers by Haret Rosu
whose points are coherent states) is introduced as follows. Assuming that the phase space evolution of the universe starts from an initial squeezed cosmological state towards a final thermal one, a Fokker-Planck equation for the time-dependent, cosmological Q phase space probability distribution can be written down. Next, using some recent results in the literature, we derive an information arrow of time for the Fisher phase space cosmological entropy based on the Q function. We also mention the application of Fisher’s arrow of time to stochastic inflation models.
whose points are coherent states) is introduced as follows. Assuming that the phase space evolution of the universe starts from an initial squeezed cosmological state towards a final thermal one, a Fokker-Planck equation for the time-dependent, cosmological Q phase space probability distribution can be written down. Next, using some recent results in the literature, we derive an information arrow of time for the Fisher phase space cosmological entropy based on the Q function. We also mention the application of Fisher’s arrow of time to stochastic inflation models.