43 citations · 247 across the 16 of their papers we have counts for
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Perturbatively Defined Effective Classical Potential in Curved Space
H. Kleinert, A. Chervyakov
The partition function of a quantum statistical system in flat space can always be written as an integral over a classical Boltzmann factor $\exp[ -βV^{\rm eff cl({\bf x}_0)]$, whe…
Integrals over Products of Distributions from Manifest Coordinate Invariance of Perturbation Expansions of Path Integrals in Curved Space
H. Kleinert, A. Chervyakov
We show that the requirement of manifest coordinate invariance of perturbatively defined quantum-mechanical path integrals in curved space leads to an extension of the theory of di…
Covariant Effective Action for Quantum Particle with Coordinate-Dependent Mass
H. Kleinert, A. Chervyakov
Using a covariant background field method we calculate the one-loop quantum effective action for a particle with coordinate-dependent mass moving slowly through a one-dimensional c…
Integrals over Products of Distributions and Coordinate Independence of Zero-Temperature Path Integrals
H. Kleinert, A. Chervyakov
In perturbative calculations of quantum-statistical zero-temperature path integrals in curvilinear coordinates one encounters Feynman diagrams involving multiple temporal integrals…
Coordinate Independence of of Quantum-Mechanical Path Integrals
H. Kleinert, A. Chervyakov
We develop simple rules for performing integrals over products of distributions in coordinate space. Such products occur in perturbation expansions of path integrals in curvilinear…
Rules for Integrals over Products of Distributions from Coordinate Independence of Path Integrals
H. Kleinert, A. Chervyakov
In perturbative calculations of quantum mechanical path integrals in curvilinear coordinates, Feynman diagrams involve multiple temporal integrals over products of distributions, w…