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25 January 2000 Quantum gas in an external field: exact grand canonical expressions and numerical treatment
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Proceedings Volume 4064, Third International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering; (2000) https://doi.org/10.1117/12.375409
Event: Third International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, 1999, St. Petersburg, Russian Federation
Abstract
Previously developed approach [1 is extended to systems of noninteracting quantum particles in an external magnetic field. Feynman type series for grand potential, number of particles, internal energy and magnetization are derived. Numerical calculations at constant N for harmonically trapped systems of fermions and bosons in presence of the homogeneous magnetic field are carried out with the aid of both Feynman-type series and series over single particle states. Particular attention is paid to low temperature behavior of fermionic systems.
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P. N. Vorontsov-Velyaminov, R. I. Gorbunov, and S. D. Ivanov "Quantum gas in an external field: exact grand canonical expressions and numerical treatment", Proc. SPIE 4064, Third International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, (25 January 2000); https://doi.org/10.1117/12.375409
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