Mathematical Aspects of Quantum Systems with a Pseudo-Hermitian Hamiltonian



Document title: Mathematical Aspects of Quantum Systems with a Pseudo-Hermitian Hamiltonian
Journal: Brazilian journal of physics
Database: PERIÓDICA
System number: 000392488
ISSN: 0103-9733
Authors: 1
2
3
Institutions: 1Universidade de Coimbra, Centro de Matematica, Coimbra. Portugal
2Universidade de Coimbra, Centro de Fisica, Coimbra. Portugal
3Universidade de Beira Interior, Departamento de Fisica, Covilha, Castelo Branco. Portugal
Year:
Season: Abr
Volumen: 46
Number: 2
Pages: 152-156
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Experimental, analítico
English abstract A non-self-adjoint bosonic Hamiltonian H possessing real eigenvalues is investigated. It is shown that the operator can be diagonalized by making use of pseudobosonic operators. The biorthogonal sets of eigenvectors for the Hamiltonian and its adjoint are explicitly constructed. The positive definite operator which connects both sets of eigenvectors is also given. The dynamics of the model is briefly analyzed
Disciplines: Física y astronomía
Keyword: Física de partículas y campos cuánticos,
Mecánica cuántica,
Pseudo-bosones,
Hamiltoniano hermitiana,
Hamiltonianos no hermitianos
Keyword: Physics and astronomy,
Particle physics and quantum fields,
Quantum mechanics,
Pseudo-bosons,
Non-Hermitian Hamiltonians,
Hermitian Hamiltonian
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