# Energy–pressure relation for low-dimensional gases

@article{Mancarella2014EnergypressureRF, title={Energy–pressure relation for low-dimensional gases}, author={Francesco Antonio Mancarella and Giuseppe Mussardo and Andrea Trombettoni}, journal={Nuclear Physics}, year={2014}, volume={887}, pages={216-245} }

## 9 Citations

Thermodynamics of noninteracting bosonic gases in cubic optical lattices versus ideal homogeneous Bose gases

- Physics
- 2015

We have studied the thermodynamic properties of noninteracting gases in periodic lattice potential at arbitrary integer fillings and compared them with that of ideal homogeneous gases. By deriving…

Thermodynamic Properties of the Spin S = 1/2 Fermi Gas

- Physics
- 2020

The thermodynamic properties of a nonrelativistic free-electron Fermi gas is of fundamental interest in condensed matter physics. Properties previously studied in three-dimensions (3D) in the low-…

Dilational Symmetry-Breaking in Thermodynamics

- Mathematics
- 2016

Using thermodynamic relations and dimensional analysis we derive a general formula for the thermodynamical trace $2\mathcal{E}-DP$ for non-relativistic systems and $\mathcal{E-DP}$ for relativistic…

Beyond Gross-Pitaevskii equation for 1D gas: quasiparticles and solitons

- PhysicsSciPost Physics
- 2022

Describing properties of a strongly interacting quantum many-body system poses a serious challenge both for theory and experiment. In this work, we study excitations of one-dimensional repulsive Bose…

Virial Theorem for Nonrelativistic Quantum Fields in Spatial Dimensions

- Mathematics
- 2015

The virial theorem for nonrelativistic complex fields in spatial dimensions and with arbitrary many-body potential is derived, using path-integral methods and scaling arguments recently developed to…

Conjectures about the structure of strong- and weak-coupling expansions of a few ground-state observables in the Lieb-Liniger and Yang-Gaudin models

- Mathematics, PhysicsSciPost Physics
- 2019

In this paper, we apply experimental number theory to two integrable
quantum models in one dimension, the Lieb-Liniger Bose gas and the
Yang-Gaudin Fermi gas with contact interactions. We identify…

How to Obtain a Mass of a Graviton, and Does This Methodology Lead to Voids?

- Physics
- 2020

Using the Klauder enhanced quantization as a way to specify the cosmological constant as a baseline for the mass of a graviton, we eventually come up and then we will go to the relationship of a…

Finite temperature off-diagonal long-range order for interacting bosons

- Physics
- 2020

Characterizing the scaling with the total particle number ($N$) of the largest eigenvalue of the one--body density matrix ($\lambda_0$), provides informations on the occurrence of the off-diagonal…

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