# Information geometry for Fermi–Dirac and Bose–Einstein quantum statistics

@inproceedings{Pessoa2021InformationGF, title={Information geometry for Fermi–Dirac and Bose–Einstein quantum statistics}, author={Pedro Pessoa and Carlo Cafaro}, year={2021} }

Information geometry is an emergent branch of probability theory that consists of assigning a Riemannian differential geometry structure to the space of probability distributions. We present an information geometric investigation of gases following the Fermi-Dirac and the Bose-Einstein quantum statistics. For each quantum gas, we study the information geometry of the curved statistical manifolds associated with the grand canonical ensemble. The FisherRao information metric and the scalar…

## 3 Citations

Bose-Einstein statistics for a finite number of particles

- PhysicsPhysical Review A
- 2021

This article presents a study of the grand canonical Bose-Einstein (BE) statistics for a finite number of particles in an arbitrary quantum system. The thermodynamical quantities that identify BE…

Maximum Force and Black Hole Thermodynamic Instability

- Physics
- 2021

Sofia Di Gennaro, ∗ Michael R. R. Good, † and Yen Chin Ong 3, ‡ Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, 180 Siwangting Road, Yangzhou…

Thermodynamic length, geometric efficiency and Legendre invariance

- Physics, MathematicsPhysica A: Statistical Mechanics and its Applications
- 2021

Carlo Cafaro, ∗ Orlando Luongo, 3, 4, † Stefano Mancini, 5, ‡ and Hernando Quevedo 7, 8, § SUNY Polytechnic Institute, 257 Fuller Road, 12203 Albany, New York, USA. Scuola di Scienze e Tecnologie,…

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