Higher dimensional supersymmetric quantum mechanics and Dirac equation

被引:1
作者
Singh, LP
Ram, B
机构
[1] Utkal Univ, Dept Phys, Bhubaneswar 751004, Orissa, India
[2] New Mexico State Univ, Dept Phys, Las Cruces, NM 88003 USA
来源
PRAMANA-JOURNAL OF PHYSICS | 2002年 / 58卷 / 04期
关键词
supersymmetric quantum mechanics; Dirac equation;
D O I
10.1007/s12043-002-0017-4
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We exhibit the supersymmetric quantum mechanical structure of the full 3+1 dimensional Dirac equation considering 'mass' as a function of coordinates. Its usefulness in solving potential problems is discussed with specific examples. We also discuss the 'physical' significance of the supersymmetric states in this formalism.
引用
收藏
页码:591 / 597
页数:7
相关论文
共 50 条
  • [21] Pseudospin symmetric solutions of the Dirac equation with the modified Rosen-Morse potential using Nikiforov-Uvarov method and supersymmetric quantum mechanics approach
    Chen, Wen-Li
    Okon, I. B.
    [J]. CHINESE PHYSICS B, 2022, 31 (05)
  • [22] Supersymmetric quantum mechanics and the Riemann hypothesis
    Kalauni, Pushpa
    Milton, Kimball A.
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2023, 38 (21):
  • [23] Supersymmetry quantum mechanics to Dirac equation with a modified Yukawa potential and a Yukawa tensor term
    A. N. Ikot
    E. Maghsoodi
    S. Zarrinkamar
    H. Hassanabadi
    [J]. Indian Journal of Physics, 2014, 88 : 283 - 292
  • [24] Supersymmetry quantum mechanics to Dirac equation with a modified Yukawa potential and a Yukawa tensor term
    Ikot, A. N.
    Maghsoodi, E.
    Zarrinkamar, S.
    Hassanabadi, H.
    [J]. INDIAN JOURNAL OF PHYSICS, 2014, 88 (03) : 283 - 292
  • [25] Dirac equation in minimal length quantum mechanics with energy-dependent harmonic potential
    Ikot, Akpan N.
    Hooshmand, Parisa
    Hassanabadi, Hassan
    Ibanga, Eno J.
    [J]. JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES, 2016, 37 (01) : 101 - 109
  • [26] Hidden nonassociative structure in supersymmetric quantum mechanics
    Dzhunushaliev, Vladimir
    [J]. ANNALEN DER PHYSIK, 2010, 522 (06) : 382 - 388
  • [27] HIGH-ORDER SUPERSYMMETRIC QUANTUM MECHANICS
    Concha-Sanchez, Yajaira
    Garcia-Munoz, Juan D.
    Raya, Alfredo
    [J]. SYMMETRY-CULTURE AND SCIENCE, 2024, 35 (03):
  • [28] Deformed geometric algebra and supersymmetric quantum mechanics
    Henselder, Peter
    [J]. PHYSICS LETTERS A, 2007, 363 (5-6) : 378 - 380
  • [29] ONE-DIMENSIONAL QUANTUM LATTICE BOLTZMANN SCHEME FOR THE NONLINEAR DIRAC EQUATION
    Palpacelli, Silvia
    Romatschke, Paul
    Succi, Sauro
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2013, 24 (12):
  • [30] Dynamical behavior of supersymmetric Paul trap in semiunitary formulation of supersymmetric quantum mechanics
    Zhang, JZ
    Xu, Q
    Müller-Kirsten, HJW
    [J]. PHYSICS LETTERS A, 1999, 258 (01) : 1 - 5