Nota de FísicaPublicado
Hidden Symmetries in One-Dimensional Quantum Hamiltonians
E. M. F. Curado; Marco Aurélio do Rego Monteiro; H. N. Nazareno
2000
Dados da publicação
- Autores
- E. M. F. Curado; Marco Aurélio do Rego Monteiro; H. N. Nazareno
- Tipo
- Nota de Física
- Status
- Publicado
- Data de publicação
- 2000
- Descrição
- We construct a Heisenberg-like algebra for the one dimensional infinite square-well potential in quantum mechanics. The number-type and ladder operators are realized in terms of physical operators of the system as in the harmonic oscillator algebra. These physical operators are obtained with the help of variables used in a recently developed non commutative differential calculus. This "square-well algebra" is an example of an algebra in a large class of generalized Heisenberg algebras recently constructed. This class of algebras also contains q-oscillators as a particular case. We also show here how this general algebra can address hidden symmetries present in several quantum systems.
- Ano
- 2000
- Número
- CBPF-NF-073/00
- Vínculo com tese
- Não
- Vínculo com bolsa
- Não