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On the classical dynamics of charged particle in special class of spatially non-uniform magnetic field

  • Ranveer Kumar Singh
Original paper
  • 43 Downloads

Abstract

Motion of a charged particle in uniform magnetic field has been studied in detail, classically as well as quantum mechanically. However, classical dynamics of a charged particle in non-uniform magnetic field is solvable only for some specific cases. We present, in this paper, a general integral equation for some specific class of non-uniform magnetic field and its solutions for some of them. We also examine the supersymmetry of Hamiltonians in exponentially decaying magnetic field with radial dependence and conclude that this kind of non-uniformity breaks supersymmetry.

Keywords

Classical trajectory Landau gauge Hamiltonian formalism Non-uniform magnetic field Supersymmetry 

PACS No.

45.20.-d 45.20.Jj 

Notes

Acknowledgements

This work was carried out at Panjab University, Chandigarh. The author is indebted to Prof. C. N. Kumar whose guidance helped to complete this work. The author also thanks Ms. Harneet Kaur, Dr. Amit Goyal and Mr. Shivam Pal for useful discussions.

References

  1. [1]
    H Goldstein, C P Poole and J L Safko Classical Mechanics (3rd ed.) (Reading: Addison-Wesley) (2001)Google Scholar
  2. [2]
    L D Landau and E M Lifschitz Quantum Mechanics: Non-relativistic Theory. Course of Theoretical Physics. Vol. 3 (3rd ed. London: Pergamon Press). ISBN 0750635398 (1977)Google Scholar
  3. [3]
    W Baumjohann and R Treumann Basic Space Plasma Physics. ISBN 978-1-86094-079-8 (1997)Google Scholar
  4. [4]
    N Krall Principals of Plasma Physics p 267 (1973)Google Scholar
  5. [5]
    P W Seymour Aust. J. Phys. 12 309Google Scholar
  6. [6]
    R F Mathams Aust. J. Phys17 547Google Scholar
  7. [7]
    F Cooper, A Khare and U Sukhatme Phys. Rep251 267 (1995)CrossRefGoogle Scholar
  8. [8]
    A Khare and C N Kumar Mod. Phys. Lett. A 8 523 (1993)ADSCrossRefGoogle Scholar
  9. [9]
    A Khare and J Maharana Nucl. Phys. B 224 409 (1984)ADSCrossRefGoogle Scholar

Copyright information

© Indian Association for the Cultivation of Science 2018

Authors and Affiliations

  1. 1.Department of MathematicsIndian Institute of Science Education and Research BhopalBhopalIndia

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