Artículo

Algebraic treatment of non-Hermitian quadratic Hamiltonians

Fernández, Francisco MarceloIcon
Fecha de publicación: 04/09/2020
Editorial: Springer
Revista: Journal of Mathematical Chemistry
ISSN: 0259-9791
e-ISSN: 1572-8897
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

We generalize a recently proposed algebraic method in order to treat non-Hermitian Hamiltonians. The approach is applied to several quadratic Hamiltonians studied earlier by other authors. Instead of solving the Schrödinger equation we simply obtain the eigenvalues of a suitable matrix representation of the operator. We take into account the existence of unitary and antiunitary symmetries in the quantum-mechanical problem.
Palabras clave: ADJOINT MATRIX , ALGEBRAIC METHOD , ANTIUNITARY SYMMETRY , EXCEPTIONAL POINT , QUADRATIC HAMILTONIAN , UNITARY SYMMETRY
 
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info:eu-repo/semantics/restrictedAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/141474
DOI: http://dx.doi.org/10.1007/s10910-020-01165-8
URL: https://link.springer.com/article/10.1007/s10910-020-01165-8
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Citación
Fernández, Francisco Marcelo; Algebraic treatment of non-Hermitian quadratic Hamiltonians; Springer; Journal of Mathematical Chemistry; 58; 9; 04-9-2020; 2094-2107
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