Artículo
Symmetric quadratic Hamiltonians with pseudo-Hermitian matrix representation
Fecha de publicación:
06/2016
Editorial:
Academic Press Inc Elsevier Science
Revista:
Annals of Physics (New York)
ISSN:
0003-4916
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We prove that any symmetric Hamiltonian that is a quadratic function of the coordinates and momenta has a pseudo-Hermitian adjoint or regular matrix representation. The eigenvalues of the latter matrix are the natural frequencies of the Hamiltonian operator. When all the eigenvalues of the matrix are real, then the spectrum of the symmetric Hamiltonian is real and the operator is Hermitian. As illustrative examples we choose the quadratic Hamiltonians that model a pair of coupled resonators with balanced gain and loss, the electromagnetic self-force on an oscillating charged particle and an active LRC circuit.
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Articulos(INIFTA)
Articulos de INST.DE INV.FISICOQUIMICAS TEORICAS Y APLIC.
Articulos de INST.DE INV.FISICOQUIMICAS TEORICAS Y APLIC.
Citación
Fernández, Francisco Marcelo; Symmetric quadratic Hamiltonians with pseudo-Hermitian matrix representation; Academic Press Inc Elsevier Science; Annals of Physics (New York); 369; 6-2016; 168-176
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