American Mathematical Society , Bar-Ilan University eBooks, 2006
... D. thesis. Among his Ph. D. students were Zvi Arad, Arie Bialostocki, Arieh Lev and Gil Kapla... more ... D. thesis. Among his Ph. D. students were Zvi Arad, Arie Bialostocki, Arieh Lev and Gil Kaplan. Professor Herzog retired in 2003 and was appointed Professor Emeritus at Tel-Aviv University. Professor Herzog has travelled extensively during his academic career. ...
For the first time to the authors' knowledge, a mathemati... more For the first time to the authors' knowledge, a mathematically rigorous method is used for treating finite-time deviations from the exponential decay in the case of spontaneous Lyman-a transition in a two-level hydrogenic atom. In the so-called Weisskopf-Wigner model (where the rotating-wave approximation is implied), finite-time deviations with a rigorous validity range, based on accurate error estimations, are derived.
ABSTRACT We prove that a topologically finitely generated pro-p group G is the extension of a fre... more ABSTRACT We prove that a topologically finitely generated pro-p group G is the extension of a free pro-p group by a cyclic p-group if and only if it contains a finitely generated dense subgroup which is the extension of a free group by a cyclic p-group. Moreover G is isomorphic to the pro-p completion of this dense subgroup.
For the first time, to the authors' knowledge, a mathematically rigorous method is used for ... more For the first time, to the authors' knowledge, a mathematically rigorous method is used for obtaining finite-time deviations from the exponential decay of the dipole-moment expectation values in the case of spontaneous Lyman-a transition in a two-level hydrogenic atom. In calculations counterrotating terms, yielding the frequency shift (Lamb shift) within the scope of the two-level model, are taken into account.
American Mathematical Society , Bar-Ilan University eBooks, 2006
... D. thesis. Among his Ph. D. students were Zvi Arad, Arie Bialostocki, Arieh Lev and Gil Kapla... more ... D. thesis. Among his Ph. D. students were Zvi Arad, Arie Bialostocki, Arieh Lev and Gil Kaplan. Professor Herzog retired in 2003 and was appointed Professor Emeritus at Tel-Aviv University. Professor Herzog has travelled extensively during his academic career. ...
For the first time to the authors' knowledge, a mathemati... more For the first time to the authors' knowledge, a mathematically rigorous method is used for treating finite-time deviations from the exponential decay in the case of spontaneous Lyman-a transition in a two-level hydrogenic atom. In the so-called Weisskopf-Wigner model (where the rotating-wave approximation is implied), finite-time deviations with a rigorous validity range, based on accurate error estimations, are derived.
ABSTRACT We prove that a topologically finitely generated pro-p group G is the extension of a fre... more ABSTRACT We prove that a topologically finitely generated pro-p group G is the extension of a free pro-p group by a cyclic p-group if and only if it contains a finitely generated dense subgroup which is the extension of a free group by a cyclic p-group. Moreover G is isomorphic to the pro-p completion of this dense subgroup.
For the first time, to the authors' knowledge, a mathematically rigorous method is used for ... more For the first time, to the authors' knowledge, a mathematically rigorous method is used for obtaining finite-time deviations from the exponential decay of the dipole-moment expectation values in the case of spontaneous Lyman-a transition in a two-level hydrogenic atom. In calculations counterrotating terms, yielding the frequency shift (Lamb shift) within the scope of the two-level model, are taken into account.
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Papers by Wolfgang Herfort