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Feynman integral treatment of the Bargmann potential. (English) Zbl 1139.81366

Summary: A method based on path integral formulation is given for obtaining exact solution of the \(s\) states for the Bargmann potential \(V(r)\). The exact energy spectrum and the normalised \(s\)-state eigenfunctions are obtained from the poles of the Green function and their residues, respectively. The results are compared with their of Schrödinger formalism, special cases are also discussed.

MSC:

81S40 Path integrals in quantum mechanics
81U05 \(2\)-body potential quantum scattering theory
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