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4 papers · 2 filters
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…
Theory for the optimal control of time-averaged quantities in open quantum systems
Ilia Grigorenko, Martin E. Garcia, K. H. Bennemann
We present variational theory for optimal control over a finite time interval in quantum systems with relaxation. The corresponding Euler-Lagrange equations determining the optimal…
High-Order Variational Perturbation Theory for the Free Energy
Florian Weissbach, Axel Pelster, Bodo Hamprecht
In this paper we introduce a generalization to the algebraic Bender-Wu recursion relation for the eigenvalues and the eigenfunctions of the anharmonic oscillator. We extend this we…