Thermodynamics of Pseudo-Hermitian Systems in Equilibrium

Details Thermodynamics of Pseudo-Hermitian Systems in Equilibrium Thermodynamics of Pseudo-Hermitian Systems in Equilibrium

2007-03-12

arxiv.org/abs/quant-ph/0703092v3

Mod. Phys. Lett. A22, 1075 (2007)

Physics

Quantum Physics

9 pages, 2 figures, to appear in Mod.Phys.Lett. A; historical part of sec. 2.1 reformulated, references corrected; typos corre

Scientific paper

10.1142/S0217732307023419

In study of pseudo(quasi)-hermitian operators, the key role is played by the positive-definite metric operator. It enables physical interpretation of the considered systems. In the article, we study the pseudo-hermitian systems with constant number of particles in equilibrium. We show that the explicit knowledge of the metric operator is not essential for study of thermodynamic properties of the system. We introduce a simple example where the physically relevant quantities are derived without explicit calculation of either metric operator or spectrum of the Hamiltonian.

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