Examples of pseudo-bosons in quantum mechanics

Fabio Bagarello

Examples of pseudo-bosons in quantum mechanics

Research output: Contribution to journal › Article › peer-review

Abstract

We discuss two physical examples of the so-called pseudo-bosons, recently introduced in connection with pseudo-hermitian quantum mechanics. In particular, we show that the so-called extended harmonic oscillator and the Swanson model satisfy all the assumptions of the pseudo-bosonic framework introduced by the author. We also prove that the biorthogonal bases they produce are not Riesz bases.

Original language	English
Pages (from-to)	3823-3827
Number of pages	5
Journal	PHYSICS LETTERS A
Volume	374
Publication status	Published - 2010

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

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abstract = "We discuss two physical examples of the so-called pseudo-bosons, recently introduced in connection with pseudo-hermitian quantum mechanics. In particular, we show that the so-called extended harmonic oscillator and the Swanson model satisfy all the assumptions of the pseudo-bosonic framework introduced by the author. We also prove that the biorthogonal bases they produce are not Riesz bases.",

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year = "2010",

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AB - We discuss two physical examples of the so-called pseudo-bosons, recently introduced in connection with pseudo-hermitian quantum mechanics. In particular, we show that the so-called extended harmonic oscillator and the Swanson model satisfy all the assumptions of the pseudo-bosonic framework introduced by the author. We also prove that the biorthogonal bases they produce are not Riesz bases.

UR - http://hdl.handle.net/10447/56150

M3 - Article

VL - 374

SP - 3823

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

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