A Rigorous Path Integral Construction in any Dimension

Details A Rigorous Path Integral Construction in any Dimension A Rigorous Path Integral Construction in any Dimension

1998-02-11

arxiv.org/abs/math/9802058v1

Lett.Math.Phys. 44 (1998) 317-329

Mathematics

Functional Analysis

17 pages

Scientific paper

We propose a new rigorous time-slicing construction of the phase space Path Integrals for propagators both in Quantum Mechanics and Quantum Field Theory for a fairly general class of quantum observables (e.g. the Schroedinger hamiltonians with smooth scalar potentials of any power growth). Moreover we allow time-dependent hamiltonians and a great variety of discretizations, in particular, the standard, Weyl, and normal ones.

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