Published February 15, 1999
| Version v1
Journal article
Application of non-commutative algebra to a soluble fermionic model
Creators
- 1. Departamento de Ciencias Exatas, Universidade Federal de Lavras, Caixa Postal 37, CEP: 37200-000 Lavras (Brazil)
- 2. Centro Brasileiro de Pesquisas Fisicas, R. Dr. Xavier Sigaud n 150, CEP: 22290-180 Rio de Janeiro (Brazil)
- 3. Instituto de Fisica, Universidade Federal Fluminense, Av. Gal. Milton Tavares de Souza s/n., Niteroi, CEP: 24210-340 Niteroi (Brazil)
- 4. Instituto de Fisica, Universidade Sao Paulo, Caixa Postal 66318, CEP: 05315-970 Sao Paulo (Brazil)
Description
We explore the properties of the non-commutative Grassmann algebra to obtain the high-temperature expansion of the grand canonical partition function for self-interacting fermionic systems. As an application, we consider the anharmonic fermionic oscillator, the simplest model in Quantum Mechanics with self-interacting fermions that is exactly soluble. The knowledge of the exact expression for its grand canonical partition function enables us to check the β-expansion obtained using our Grassmann-algebra-based technique. (Copyright (c) 1999 Elsevier Science B.V., Amsterdam. All rights reserved.)
Additional details
Publishing Information
- Journal Title
- Physica A
- Journal Volume
- 264
- Journal Issue
- 1-2
- Journal Page Range
- p. 204-221
- ISSN
- 0378-4371
- CODEN
- PHYADX
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- Poland
- INIS RN
- 31064405
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGEBRA; ANHARMONIC OSCILLATORS; COMMUTATION RELATIONS; FERMIONS; PARTITION FUNCTIONS; QUANTUM MECHANICS; STATISTICAL MODELS
- Descriptors DEC
- FUNCTIONS; MATHEMATICAL MODELS; MATHEMATICS; MECHANICS