Variational Perturbation Theory for Density Matrices

Abstract

We develop convergent variational perturbation theory for quantum statistical density matrices. The theory is applicable to polynomial as well as nonpolynomial interactions. Illustrating the power of the theory, we calculate the temperature-dependent density of a particle in a double-well and of the electron in a hydrogen atom.

Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html . Latest update of paper also at http://www.physik.fu-berlin.de/~kleinert/kleiner_re280/preprint.html

References in corpus (3)

• Strong-Coupling ${\varphi }^4$-Theory in $4-\epsilon$ Dimensions and Critical Exponents
• Smearing Formula for Higher-Order Effective Classical Potentials
• Optimized perturbation method for the propagation in the anharmonic oscillator potential

Cited by in corpus (11)

• Variational Perturbation Theory for Markov Processes
• Quantum Monte Carlo Method for Attractive Coulomb Potentials
• The Fokker-Planck equation for bistable potential in the optimized expansion
• Variational Approach to Hydrogen Atom in Uniform Magnetic Field of Arbitrary Strength
• Improved semiclassical density matrix: taming caustics
• Local Variational Principle
• Large-D Expansion from Variational Perturbation Theory
• Variational perturbation approach to the Coulomb electron gas
• Renormalization Group Computation of Correlation Functions and Particle Densities
• The effective potential and resummation procedure to multidimensional complex cubic potentials for weak and strong-coupling
• Semiclassical partition function for the double-well potential