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Phys. Rev. A 60, 3429–3443 (1999)

Variational perturbation theory for density matrices

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Michael Bachmann, Hagen Kleinert, and Axel Pelster
Institut für Theoretische Physik, Freie Universität Berlin, Arnimallee 14, 14195 Berlin, Germany

Received 22 December 1998; published in the issue dated November 1999

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.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.60.3429
DOI:
10.1103/PhysRevA.60.3429
PACS:
03.65.Ca, 05.30.-d