Smearing Formula for Higher-Order Effective Classical Potentials

Details Smearing Formula for Higher-Order Effective Classical Potentials Smearing Formula for Higher-Order Effective Classical Potentials

1998-06-05

arxiv.org/abs/quant-ph/9806016v1

J.Phys.A31:8307-8321,1998

Physics

Quantum Physics

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

Scientific paper

10.1088/0305-4470/31/41/005

In the variational approach to quantum statistics, a smearing formula describes efficiently the consequences of quantum fluctuations upon an interaction potential. The result is an effective classical potential from which the partition function can be obtained by a simple integral. In this work, the smearing formula is extended to higher orders in the variational perturbation theory. An application to the singular Coulomb potential exhibits the same fast convergence with increasing orders that has been observed in previous variational perturbation expansions of the anharmonic oscillator with quartic potential.

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