### Abstract

Original language | English |
---|---|

Pages (from-to) | 1-15 |

Number of pages | 15 |

Journal | JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL |

Volume | 49 |

Publication status | Published - 2016 |

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### All Science Journal Classification (ASJC) codes

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

### Cite this

**Gibbs states defined by biorthogonal sequences.** / Trapani, Camillo; Bagarello, Fabio; Triolo, Salvatore.

Research output: Contribution to journal › Article

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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 -