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Laplace transform wave functions
Author(s) -
Farmer Christine M.
Publication year - 1969
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560030621
Subject(s) - eigenfunction , laplace transform , wave function , two sided laplace transform , excited state , hydrogen atom , mellin transform , laplace transform applied to differential equations , inverse laplace transform , green's function for the three variable laplace equation , quantum number , quantum , function (biology) , quantum mechanics , physics , mathematical analysis , mathematics , eigenvalues and eigenvectors , fourier transform , fractional fourier transform , fourier analysis , evolutionary biology , group (periodic table) , biology
The wave function defining a quantum‐mechanical system is considered as the Laplace transform of some distribution and the consequent form of the Variational Principle derived; an integral equation defines the eigenfunctions of a certain subclass. The model of the hydrogen‐like atom is used to test the theory; the eigenfunctions and associated energy levels of the ground and excited states are obtained for arbitrary values of the orbital quantum number.