Motivated by the growing interest in PT-quantum mechanics, in this paper we discuss some facts on generalized Gibbs states and their related KMS-like conditions. To achieve this, we first consider some useful connections between similar (Hamiltonian) operators and we propose some extended versions of the Heisenberg algebraic dynamics, deducing some of their properties that are useful for our purposes.
Bagarello, F., Trapani, C., Triolo, S. (2016). Gibbs states defined by biorthogonal sequences. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 49(40), 1-15 [10.1088/1751-8113/49/40/405202].
Gibbs states defined by biorthogonal sequences
BAGARELLO, Fabio
;TRAPANI, Camillo;TRIOLO, Salvatore
2016-01-01
Abstract
Motivated by the growing interest in PT-quantum mechanics, in this paper we discuss some facts on generalized Gibbs states and their related KMS-like conditions. To achieve this, we first consider some useful connections between similar (Hamiltonian) operators and we propose some extended versions of the Heisenberg algebraic dynamics, deducing some of their properties that are useful for our purposes.
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