Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Theoretical and Mathematical Physics

Perturbation Theory for Density Matrices and the Thermodynamic Potential of a Quantum System

É. A. Arinshtein

Published Jan 1, 2001• 4 citations
Publisher
DOI
10.1023/a:1013876314504

Related papers

Density Matrices and Perturbation Theory

Mitchel Weissbluth

Elsevier eBooks•Jan 1, 1989•0 citations

Constant-density thermodynamic perturbation theory for quantum fluids

B. Kumar, Nutan Chandra

Physica A Statistical Mechanics and its Applications•Feb 1, 1982•0 citations

Variational perturbation theory for density matrices

Michael Bachmann, Hagen M. Kleinert, Axel Pelster

We develop a convergent variational perturbation theory for quantum-statistical density matrices which is applicable to polynomial as well as nonpolynomial interactions. We illustrate the power of the theory by calculating the temperature-dependent density of a particle in the double-well potential to second order, and of the electron in the hydrogen atom to first order.

arXiv:quant-ph/9812063•Physical Review A•Nov 1, 1999•20 citations

Density matrices for itinerant and localized electrons with and without external fields

Norman Henry March

Forms of canonical (Bloch) and Dirac density matrices for free electrons with and without external applied fields are first considered. The basic tool employed is the Bloch equation with a one-electron Hamiltonian. Such an approach is used to obtain a perturbation theory to all orders for the idempotent Dirac density matrix when a common potential energy V(r) is switched on to originally free electrons. The relation to density functional theory is then considered and the exchange–correlation contribution Vxc(r) to V(r) is expressed in terms of first- and second-order density matrices following Holas and March. These latter density matrices are now for the fully interacting system and, in particular, the first-order density matrix is no longer idempotent, though it must still satisfy generalized Pauli Principle conditions. Reference is also made to a localized Wigner electron in a strong magnetic field.

Journal of Mathematical Physics•Apr 1, 1997•6 citations

Perturbation theory of large quantum systems

Nicolaas Marinus Hugenholtz

Physica•Jan 1, 1957•463 citations

DENSITY MATRICES IN QUANTUM MECHANICS

WORLD SCIENTIFIC eBooks•Jul 1, 1995•1 citation
Forms of canonical (Bloch) and Dirac density matrices for free electrons with and without external applied fields are first considered. The basic tool employed is the Bloch equation with a one-electron Hamiltonian. Such an approach is used to obtain a perturbation theory to all orders for the idempotent Dirac density matrix when a common potential energy V(r) is switched on to originally free electrons. The relation to density functional theory is then considered and the exchange–correlation contribution Vxc(r) to V(r) is expressed in terms of first- and second-order density matrices following Holas and March. These latter density matrices are now for the fully interacting system and, in particular, the first-order density matrix is no longer idempotent, though it must still satisfy generalized Pauli Principle conditions. Reference is also made to a localized Wigner electron in a strong magnetic field.