Gibbs states defined by biorthogonal sequences

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4 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)1-15
Number of pages15
JournalJOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL
Volume49
Publication statusPublished - 2016

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Hamiltonians
Gibbs States
Quantum theory
Quantum Mechanics
Mathematical operators
quantum mechanics
operators
Operator

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

Cite this

@article{a8e2ff5b7c2f4f3fbdda99fd1865ac17,
title = "Gibbs states defined by biorthogonal sequences",
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.",
author = "Camillo Trapani and Fabio Bagarello and Salvatore Triolo",
year = "2016",
language = "English",
volume = "49",
pages = "1--15",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",

}

TY - JOUR

T1 - Gibbs states defined by biorthogonal sequences

AU - Trapani, Camillo

AU - Bagarello, Fabio

AU - Triolo, Salvatore

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10447/202780

UR - http://iopscience.iop.org/article/10.1088/1751-8113/49/40/405202/pdf

M3 - Article

VL - 49

SP - 1

EP - 15

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

ER -