Geodesic
Path integral in the~energy representation in quantum mechanics
Teoretičeskaâ i matematičeskaâ fizika, Tome 156 (2008) no. 1, pp. 92-111

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We consider an alternative path integral approach to quantum mechanics. We present a resolvent of a Hamiltonian (which is the Laplace transform of the evolution operator) in a form that has the meaning of “the sum over paths” but is much better defined than the usual functional integral. We investigate this representation from different standpoints and compare such an approach to quantum mechanics with the standard approaches.
Keywords: path integral, quantum mechanics, instanton. 
@article{TMF_2008_156_1_a4,
     author = {P. A. Putrov},
     title = {Path integral in the~energy representation in quantum mechanics},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {92--111},
     publisher = {mathdoc},
     volume = {156},
     number = {1},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2008_156_1_a4/}
}
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P. A. Putrov. Path integral in the~energy representation in quantum mechanics. Teoretičeskaâ i matematičeskaâ fizika, Tome 156 (2008) no. 1, pp. 92-111. http://geodesic.mathdoc.fr/item/TMF_2008_156_1_a4/