The two-dimensional hydrogen atom revisited
نویسندگان
چکیده
منابع مشابه
The One Dimensional Hydrogen Atom Revisited
The one dimensional Schrödinger hydrogen atom is an interesting mathematical and physical problem to study bound states, eigenfunctions and quantum degeneracy issues. This 1D physical system gave rise to some intriguing controversy over more than four decades. Presently, still no definite consensus seems to have been reached. We reanalyzed this apparently controversial problem, approaching it f...
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متن کاملThe 2-dimensional hydrogen atom
In these notes we investigate a particular partial differential equation arising from the quantum mechanical description of a hydrogen atom. For simplicity we consider the atom in a 2-dimensional instead of a 3-dimensional universe. For convenience we put all fundamental constants of nature equal to 1. The problem. In quantum mechanics the electron is described by a so called wave function. A w...
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The ways for improving on techniques for finding new solvable potentials based on supersymmetry and shape invariance has been discussed by Morales et al. [1] In doing so they address the peculiar system known as the one-dimensional hydrogen atom. In this paper we show that their remarks on such problem are mistaken. We do this by explicitly constructing both the one-dimensional Coulomb potentia...
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We derive the wave function for N-dimensional hydrogen atom in the momentum representation with the phase factor using the generating function method and Hankel’s integral.
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2002
ISSN: 0022-2488
DOI: 10.1063/1.1503868