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.


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