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Simple Description of Hydrogen‐Like Systems in Arbitrary Magnetic Fields
Author(s) -
Chen Y.,
Gil B.
Publication year - 1986
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221360228
Subject(s) - simple (philosophy) , wave function , physics , magnetic field , function (biology) , electron , excited state , ground state , range (aeronautics) , field (mathematics) , exponential function , quantum mechanics , quantum electrodynamics , mathematical analysis , mathematics , materials science , philosophy , epistemology , evolutionary biology , biology , pure mathematics , composite material
A simple description is given of an hydrogen‐like system in an arbitrary magnetic field. A new expansion of the wave function is used in terms of hydrogenic states factorized by a simple exponential factor characteristic of Landau levels for free electrons. By using parabolic coordinates, such a choice for the basic function allows an analytical calculation for both the ground state and the excited states of the system under large range of field strength.