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The Analytic Eigenvalue Structure of the 1+1 Dirac Oscillator.

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Title: The Analytic Eigenvalue Structure of the 1+1 Dirac Oscillator.
Authors: Cao, Bo-Xing (AUTHOR), Zhang, Fu-Lin (AUTHOR) flzhang@tju.edu.cn
Source: Chinese Physics Letters. Sep2020, Vol. 37 Issue 9, p1-5. 5p.
Subjects: Eigenvalues, Riemann surfaces, Quantum numbers, Quantum states, Energy policy
Abstract: We study the analytic structure for the eigenvalues of the one-dimensional Dirac oscillator, by analytically continuing its frequency on the complex plane. A twofold Riemann surface is found, connecting the two states of a pair of particle and antiparticle. One can, at least in principle, accomplish the transition from a positive energy state to its antiparticle state by moving the frequency continuously on the complex plane, without changing the Hamiltonian after transition. This result provides a visual explanation for the absence of a negative energy state with the quantum number n = 0. [ABSTRACT FROM AUTHOR]
Copyright of Chinese Physics Letters is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 146822575
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: The Analytic Eigenvalue Structure of the 1+1 Dirac Oscillator.
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  Data: <searchLink fieldCode="AR" term="%22Cao%2C+Bo-Xing%22">Cao, Bo-Xing</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zhang%2C+Fu-Lin%22">Zhang, Fu-Lin</searchLink> (AUTHOR)<i> flzhang@tju.edu.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22Chinese+Physics+Letters%22">Chinese Physics Letters</searchLink>. Sep2020, Vol. 37 Issue 9, p1-5. 5p.
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  Data: <searchLink fieldCode="DE" term="%22Eigenvalues%22">Eigenvalues</searchLink><br /><searchLink fieldCode="DE" term="%22Riemann+surfaces%22">Riemann surfaces</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+numbers%22">Quantum numbers</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+states%22">Quantum states</searchLink><br /><searchLink fieldCode="DE" term="%22Energy+policy%22">Energy policy</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: We study the analytic structure for the eigenvalues of the one-dimensional Dirac oscillator, by analytically continuing its frequency on the complex plane. A twofold Riemann surface is found, connecting the two states of a pair of particle and antiparticle. One can, at least in principle, accomplish the transition from a positive energy state to its antiparticle state by moving the frequency continuously on the complex plane, without changing the Hamiltonian after transition. This result provides a visual explanation for the absence of a negative energy state with the quantum number n = 0. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Chinese Physics Letters is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1088/0256-307X/37/9/090303
    Languages:
      – Code: eng
        Text: English
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      Pagination:
        PageCount: 5
        StartPage: 1
    Subjects:
      – SubjectFull: Eigenvalues
        Type: general
      – SubjectFull: Riemann surfaces
        Type: general
      – SubjectFull: Quantum numbers
        Type: general
      – SubjectFull: Quantum states
        Type: general
      – SubjectFull: Energy policy
        Type: general
    Titles:
      – TitleFull: The Analytic Eigenvalue Structure of the 1+1 Dirac Oscillator.
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            NameFull: Cao, Bo-Xing
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            NameFull: Zhang, Fu-Lin
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            – D: 01
              M: 09
              Text: Sep2020
              Type: published
              Y: 2020
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              Value: 37
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              Value: 9
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            – TitleFull: Chinese Physics Letters
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