- Centre National de la Recherche ScientifiqueFR238 papers
- Helmholtz-Zentrum Berlin für Materialien und EnergieDE229 papers
- Technische Universität BerlinDE205 papers
- Deutsches Zentrum für Luft- und Raumfahrt e. V. (DLR)DE122 papers
- University of CambridgeGB113 papers
- Humboldt-Universität zu BerlinDE110 papers
- ETH ZurichCH105 papers
- Zuse Institute BerlinDE105 papers
- University of GenevaCH95 papers
- Sorbonne UniversitéFR94 papers
- Leiden UniversityNL91 papers
- Princeton UniversityUS90 papers
7 papers · 2 filters
Fokker-Planck and Langevin Equations from Forward--Backward Path Integral
Hagen Kleinert
Starting from a forward--backward path integral of a point particle in a bath of harmonic oscillators, we derive the Fokker-Planck and Langevin equations with and without inertia.…
Self-Consistent Effective Action for Quantum Particle with Space-Dependent Mass
M. E. S. Borelli, H. Kleinert
We calculate the quantum corrections to the classical action of a particle with coordinate-dependent mass. The result is made self-consistent by a variational approach, thus making…
Quantum Statistics of Hydrogen in Strong Magnetic Fields
Michael Bachmann, Hagen Kleinert, Axel Pelster
By an extension of the Feynman-Kleinert variational approach, we calculate the temperature-dependent effective classical potential governing the quantum statistical properties of a…
Variational Approach to Hydrogen Atom in Uniform Magnetic Field of Arbitrary Strength
M. Bachmann, H. Kleinert, A. Pelster
Extending the Feynman-Kleinert variational approach, we calculate the temperature-dependent effective classical potential governing the quantum statistics of a hydrogen atom in a u…
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…
On a quantum version of Shannon's conditional entropy
Robert Schrader
In this article we propose a quantum version of Shannon's conditional entropy. Given two density matrices and on a finite dimensional Hilbert space and with $S(ρ)=-\trρ\lnρ…