Non-self-adjoint hamiltonians defined by Riesz bases

Fabio Bagarello; Camillo Trapani; null Inoue; null Bagarello

Non-self-adjoint hamiltonians defined by Riesz bases

Fabio Bagarello, Camillo Trapani, Inoue, Bagarello

Risultato della ricerca: Article

Abstract

We discuss some features of non-self-adjoint Hamiltonians with real discrete simplespectrum under the assumption that the eigenvectors form a Riesz basis of Hilbertspace. Among other things, we give conditions under which these Hamiltonians canbe factorized in terms of generalized lowering and raising operators.

Lingua originale	English
Numero di pagine	12
Rivista	Journal of Mathematical Physics
Volume	55
Stato di pubblicazione	Published - 2014

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All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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Bagarello, F., Trapani, C., Inoue, & Bagarello (2014). Non-self-adjoint hamiltonians defined by Riesz bases. Journal of Mathematical Physics, 55.

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abstract = "We discuss some features of non-self-adjoint Hamiltonians with real discrete simplespectrum under the assumption that the eigenvectors form a Riesz basis of Hilbertspace. Among other things, we give conditions under which these Hamiltonians canbe factorized in terms of generalized lowering and raising operators.",

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AU - Bagarello, Fabio

AU - Trapani, Camillo

AU - Inoue, null

AU - Bagarello, null

PY - 2014

Y1 - 2014

N2 - We discuss some features of non-self-adjoint Hamiltonians with real discrete simplespectrum under the assumption that the eigenvectors form a Riesz basis of Hilbertspace. Among other things, we give conditions under which these Hamiltonians canbe factorized in terms of generalized lowering and raising operators.

AB - We discuss some features of non-self-adjoint Hamiltonians with real discrete simplespectrum under the assumption that the eigenvectors form a Riesz basis of Hilbertspace. Among other things, we give conditions under which these Hamiltonians canbe factorized in terms of generalized lowering and raising operators.

KW - Hamiltonian operators

KW - Riesz bases

KW - Hamiltonian operators

KW - Riesz bases

UR - http://hdl.handle.net/10447/88223

M3 - Article

VL - 55

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

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