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The thermodynamic properties of bosons moving in a harmonic trap in an arbitrary number of dimensions are investigated in the grand canonical, canonical and microcanonical ensembles by applying combinatorial techniques developed earlier in…

Condensed Matter · Physics 2007-05-23 K. C. Chase , A. Z. Mekjian , L. Zamick

The number-theoretical problem of partition of an integer corresponds to $D=2$. This problem obeys the Bose--Eeinstein statistics, where repeated terms are admissible in the partition, and to the Fermi--Dirac statistics, where they are…

Quantum Gases · Physics 2018-11-29 V. P. Maslov

In the present paper, the Tsallis statistics in the grand canonical ensemble was reconsidered in a general form. The thermodynamic properties of the nonrelativistic ideal gas of hadrons in the grand canonical ensemble was studied…

Nuclear Theory · Physics 2017-03-16 A. S. Parvan

The deformation-related energy budget is usually considered in the simplest form or even completely omitted from the energy balance equation. We derive a full energy balance equation that accounts not only for heat energy but also for…

Geophysics · Physics 2018-12-27 Sabber Ahamed , Eunseo Choi

Data sets with high statistics taken at the cosmic ray facility, equipped with 3 ATLAS BOS MDT chambers, in Garching (Munich) have been used to study temperature and pressure effects on gas gain and drifttime. The deformation of a thermally…

Instrumentation and Detectors · Physics 2009-08-12 A. Engl , O. Biebel , R. Hertenberger , R. Mameghani , D. Merkl , F. Rauscher , D. Schaile , R. Stroehmer

We address quantum systems isospectral to the harmonic oscillator, as those found within the framework of supersymmetric quantum mechanics, as potential resources for continuous variable quantum information. These deformed oscillator…

Quantum Physics · Physics 2025-04-04 Abdelatif Chabane , Sidali Mohammdi , Abdelhakim Gharbi , Matteo G. A. Paris

We outline a partial-fractions decomposition method for determining the one-particle spectral function and single-particle density of states of a correlated electronic system on a finite lattice in the non self-consistent T-matrix…

Strongly Correlated Electrons · Physics 2009-11-10 R. J. Gooding , F. Marsiglio , S. Verga , K. S. D. Beach

The non-equilibrium statistical mechanics and kinetic theory for a model of a confined quasi-two-dimensional gas of inelastic hard spheres is presented. The dynamics of the particles includes an effective mechanism to transfer the energy…

Statistical Mechanics · Physics 2015-06-18 J. Javier Brey , M. I. García de Soria , P. Maynar , V. Buzón

We propose an experimental approach for determining thermodynamic properties of ultracold atomic gases with short-range interactions. As a test case, we focus on the one-dimensional (1D) Bose gas described by the integrable Lieb-Liniger…

Quantum Gases · Physics 2024-03-08 Matthew L. Kerr , Karen V. Kheruntsyan

Equation of state (EOS) describes the thermodynamic properties of substances. It has important applications in many fields such as power mechanics, geophysics, astrophysics, and detonation physics. Currently, most EOSs have been constructed…

Statistical Mechanics · Physics 2021-07-15 Ti-Wei Xue , Zeng-Yuan Guo

A logarithmic oscillator (in short, log-oscillator) behaves like an ideal thermostat because of its infinite heat capacity: when it weakly couples to another system, time averages of the system observables agree with ensemble averages from…

Statistical Mechanics · Physics 2012-07-11 Michele Campisi , Fei Zhan , Peter Talkner , Peter Hänggi

The hard sphere system plays a basic role in condensed matter physics and related fields, and equation of state (EoS) is the ultimate solution to its thermodynamic properties (1-3). Dozens of EoSs have been proposed since van der Waals…

Statistical Mechanics · Physics 2007-05-23 Hongqin Liu

Analytical solutions of the Schrodinger equation for the generalized trigonometric Poschl Teller potential by using an appropriate approximation to the centrifugal term within the framework of the Functional Analysis Approach have been…

Quantum Physics · Physics 2019-12-03 C. O. Edet , P. O. Amadi , A. N. Ikot , U. S. Okorie , A. Tas , G. Rampho

The Heisenberg algebra is deformed with the set of parameters ${q, l,\lambda}$ to generate a new family of generalized coherent states respecting the Klauder criteria. In this framework, the matrix elements of relevant operators are exactly…

Mathematical Physics · Physics 2012-11-15 Joseph Désiré Bukweli , Mahouton Norbert Hounkonnou

Constructing optimal thermodynamic processes in quantum systems relies on managing the balance between the average excess work and its stochastic fluctuations. Recently it has been shown that two different quantum generalisations of…

Quantum Physics · Physics 2021-12-06 Mohammad Mehboudi , Harry J. D. Miller

An analysis of the different approaches used within the van Hove BCS model for the high temperature superconductors has been done. How far the employment of an asymptotic expression for the density of states underestimates the thermodynamic…

Condensed Matter · Physics 2007-05-23 D. Quesada , A. Rubio-Ponce , R. Pena , R. Baquero , C. Trallero-Giner

From sand piles to electrons in metals, one of the greatest challenges in modern physics is to understand the behavior of an ensemble of strongly interacting particles. A class of quantum many-body systems such as neutron matter and cold…

Quantum Gases · Physics 2010-06-01 Sylvain Nascimbène , Nir Navon , Kaijun Jiang , Frédéric Chevy , Christophe Salomon

We discuss the r\^ole of quantum deformation of Weyl-Heisenberg algebra in dissipative systems and finite temperature systems. We express the time evolution generator of the damped harmonic oscillator and the generator of thermal Bogolubov…

High Energy Physics - Theory · Physics 2015-06-26 Alfredo Iorio , Giuseppe Vitiello

The Fefferman-Graham metric is frequently used for derivation of the first law of the entanglement thermodynamics. On ther other hand, the entanglement thermodynamics is well formulated by the Hessian geometry. The aim of this work is to…

High Energy Physics - Theory · Physics 2015-08-27 Hiroaki Matsueda

We demonstrate that the time-dependent projected Gross-Pitaevskii equation derived earlier [Davis, et al., J. Phys. B 34, 4487 (2001)] can represent the highly occupied modes of a homogeneous, partially-condensed Bose gas. We find that this…

Condensed Matter · Physics 2009-11-07 M. J. Davis , S. A. Morgan , K. Burnett