Path-integral evaluation for the three-dimensional potential \(\gamma{}\delta{} (r-a)\) (Q1184782)
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scientific article; zbMATH DE number 35012
| Language | Label | Description | Also known as |
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| English | Path-integral evaluation for the three-dimensional potential \(\gamma{}\delta{} (r-a)\) |
scientific article; zbMATH DE number 35012 |
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Path-integral evaluation for the three-dimensional potential \(\gamma{}\delta{} (r-a)\) (English)
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28 June 1992
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The Fourier transform of the three-dimensional central potential is a sine-function. Thus, the potential may be evaluated by an inverse Fourier (or Laplace) transform, this is a path-integral, and this is represented analytically by means of perturbational expansions. The results for the energy spectrum and the wave functions obtained by this ( Feynman's path- integral) formalism coincide entirely with the results deduced from Schrödinger's equation. This is a part of a thesis presented in 1976, and the references cited appeared 20 years ago.
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Laplace transform
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Fourier transform
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central potential
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perturbational expansions
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energy spectrum
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wave functions
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Feynman's path-integral
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Schrödinger's equation
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0.7260581851005554
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0.7218701839447021
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0.7204141020774841
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