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Electron wave packets: Quantum statistics in path integral representation

  • Atoms, Molecules, Optics
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Abstract

Fundamental relations between ensemble-averaged kinetic energy, pressure, and virial are obtained for quantum many-particle systems at finite temperatures. A path-integral method is developed for calculating kinetic energy for mixed (quantum-classical) systems. The method eliminates the problem of divergent variance. Path-integral Monte Carlo simulations are performed to validate the method as applied to single-electron and electron-pair wave packets, with exact treatment of exchange symmetry and spin states. Quantitative results are compared with corresponding characteristics calculated for point charges.

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Authors and Affiliations

  1. St. Petersburg State Polytechnic University, St. Petersburg, 195251, Russia

    S. V. Shevkunov

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Correspondence to S. V. Shevkunov.

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Original Russian Text © S.V. Shevkunov, 2008, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2008, Vol. 133, No. 1, pp. 25–44.

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Shevkunov, S.V. Electron wave packets: Quantum statistics in path integral representation. J. Exp. Theor. Phys. 106, 17–33 (2008). https://doi.org/10.1134/S1063776108010020

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