Path integral in energy representation in quantum mechanics

Details Path integral in energy representation in quantum mechanics Path integral in energy representation in quantum mechanics

2006-05-17

arxiv.org/abs/hep-th/0605169v3

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, 13 figures. Some sections was rewritten. Version accepted to Theor.Math.Phys

Scientific paper

In this paper we develop the alternative path-integral approach to quantum mechanics. We present a resolvent of a Hamiltonian (which is Laplace transform of a evolution operator) in a form which has a sense of ``the sum over paths'' but it is much more better defined than the usual functional integral. We investigate this representation from various directions and compare such approach to quantum mechanics with the standard ones.

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