Unique Translation between Hamiltonian Operators and Functional Integrals

Details Unique Translation between Hamiltonian Operators and Functional Integrals Unique Translation between Hamiltonian Operators and Functional Integrals

2000-08-18

arxiv.org/abs/cond-mat/0008273v2

Phys.Rev.Lett. 86 (2001) 1-5

Physics

Condensed Matter

4 pages, 0 figures, RevTex, added references

Scientific paper

10.1103/PhysRevLett.86.1

A careful treatment of the discretization errors in the path integral formulation of quantum mechanics leads to a unique prescription for the translation from the Hamiltonian to the action in the functional integral. An example is given by an interaction quadratic in the occupation number, characteristic for manybody bosonic systems. As a result, the term linear in the occupation number (chemical potential) receives a correction as compared to the usual formulation based on coherent states. A perturbative calculation supports the relevance of this correction.

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