Bounded version of bosonic creation and annihilation operators and their related {em quasi-coherent states}

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Abstract

Coherent states are usually defined as eigenstates of an unbounded operator, the so called annihilation operator. We propose here possible constructions of quasicoherent states, which turn out to be quasieigenstate of a bounded operator related to an annihilationlike operator. We use this bounded operator to construct a sort of modified harmonic oscillator and we analyze the dynamics of this oscillator from an algebraic point of view
Original languageEnglish
Pages (from-to)013511-1-013511-14
Number of pages14
JournalJournal of Mathematical Physics
Volume48
Publication statusPublished - 2007

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Bounded Operator
Coherent States
Annihilation
operators
Unbounded Operators
Operator
Harmonic Oscillator
Sort
harmonic oscillators
eigenvectors
oscillators

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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title = "Bounded version of bosonic creation and annihilation operators and their related {em quasi-coherent states}",
abstract = "Coherent states are usually defined as eigenstates of an unbounded operator, the so called annihilation operator. We propose here possible constructions of quasicoherent states, which turn out to be quasieigenstate of a bounded operator related to an annihilationlike operator. We use this bounded operator to construct a sort of modified harmonic oscillator and we analyze the dynamics of this oscillator from an algebraic point of view",
author = "Fabio Bagarello",
year = "2007",
language = "English",
volume = "48",
pages = "013511--1--013511--14",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "American Institute of Physics Publising LLC",

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AU - Bagarello, Fabio

PY - 2007

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AB - Coherent states are usually defined as eigenstates of an unbounded operator, the so called annihilation operator. We propose here possible constructions of quasicoherent states, which turn out to be quasieigenstate of a bounded operator related to an annihilationlike operator. We use this bounded operator to construct a sort of modified harmonic oscillator and we analyze the dynamics of this oscillator from an algebraic point of view

UR - http://hdl.handle.net/10447/9966

UR - http://scitation.aip.org/content/aip/journal/jmp/48/1/10.1063/1.2423230

M3 - Article

VL - 48

SP - 013511-1-013511-14

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

ER -