View in EDS

WKB approximation for quaternionic quantum mechanics with purely imaginary potentials.

Saved in:
Bibliographic Details
Title: WKB approximation for quaternionic quantum mechanics with purely imaginary potentials.
Authors: Singh, Bhashkar1 (AUTHOR) bhashkarsinghphysics@gmail.com, Rawat, A. S.1 (AUTHOR) drarunsinghrawat@gmail.com, Rawat, Seema2 (AUTHOR) rawatseema1@rediffmail.com
Source: International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics. 4/10/2026, Vol. 41 Issue 10, p1-24. 24p.
Subjects: WKB approximation, Schrödinger equation, Noncommutative algebras, Approximation theory, Quaternions, Quantum field theory
Abstract: Solving the Schrödinger equation in quaternionic quantum mechanics (QQM) has been a nut to crack. In complex quantum mechanics (CQM), approximation methods have been used to find the solutions of the Schrödinger equation when exact solutions are difficult to obtain. This study challenges the earlier Eikonal (or WKB) approximation formalism [S. L. Adler, Quaternionic Quantum Mechanics and Quantum Fields (Oxford University Press, New York, 1995)] developed for an imaginary quaternion potential. In this paper, the correct form of coupled equations, obeying the noncommutative structure and approximated solution for quaternionic time-independent Schrödinger equation (QTISE), has been obtained. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics is the property of World Scientific Publishing Company 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
FullText Text:
  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 192567212
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: WKB approximation for quaternionic quantum mechanics with purely imaginary potentials.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Singh%2C+Bhashkar%22">Singh, Bhashkar</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> bhashkarsinghphysics@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Rawat%2C+A%2E+S%2E%22">Rawat, A. S.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> drarunsinghrawat@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Rawat%2C+Seema%22">Rawat, Seema</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> rawatseema1@rediffmail.com</i>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Modern+Physics+A%3A+Particles+%26+Fields%3B+Gravitation%3B+Cosmology%3B+Nuclear+Physics%22">International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics</searchLink>. 4/10/2026, Vol. 41 Issue 10, p1-24. 24p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22WKB+approximation%22">WKB approximation</searchLink><br /><searchLink fieldCode="DE" term="%22Schrödinger+equation%22">Schrödinger equation</searchLink><br /><searchLink fieldCode="DE" term="%22Noncommutative+algebras%22">Noncommutative algebras</searchLink><br /><searchLink fieldCode="DE" term="%22Approximation+theory%22">Approximation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Quaternions%22">Quaternions</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+field+theory%22">Quantum field theory</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Solving the Schrödinger equation in quaternionic quantum mechanics (QQM) has been a nut to crack. In complex quantum mechanics (CQM), approximation methods have been used to find the solutions of the Schrödinger equation when exact solutions are difficult to obtain. This study challenges the earlier Eikonal (or WKB) approximation formalism [S. L. Adler, Quaternionic Quantum Mechanics and Quantum Fields (Oxford University Press, New York, 1995)] developed for an imaginary quaternion potential. In this paper, the correct form of coupled equations, obeying the noncommutative structure and approximated solution for quaternionic time-independent Schrödinger equation (QTISE), has been obtained. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics is the property of World Scientific Publishing Company 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.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=192567212
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1142/S0217751X26500533
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 24
        StartPage: 1
    Subjects:
      – SubjectFull: WKB approximation
        Type: general
      – SubjectFull: Schrödinger equation
        Type: general
      – SubjectFull: Noncommutative algebras
        Type: general
      – SubjectFull: Approximation theory
        Type: general
      – SubjectFull: Quaternions
        Type: general
      – SubjectFull: Quantum field theory
        Type: general
    Titles:
      – TitleFull: WKB approximation for quaternionic quantum mechanics with purely imaginary potentials.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Singh, Bhashkar
      – PersonEntity:
          Name:
            NameFull: Rawat, A. S.
      – PersonEntity:
          Name:
            NameFull: Rawat, Seema
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 10
              M: 04
              Text: 4/10/2026
              Type: published
              Y: 2026
          Identifiers:
            – Type: issn-print
              Value: 0217751X
          Numbering:
            – Type: volume
              Value: 41
            – Type: issue
              Value: 10
          Titles:
            – TitleFull: International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics
              Type: main
ResultId 1