Scattering Study of Fermions due to Double Dirac Delta Potential in Quaternionic Relativistic Quantum Mechanics

被引：7
|
作者：
Hassanabadi, Hassan [1 ]
Sobhani, Hadi [1 ]
Chung, Won Sang [2 ,3 ]
机构：
[1] Shahrood Univ Technol, Fac Phys, POB 3619995161-316, Shahrood, Iran
[2] Gyeongsang Natl Univ, Coll Nat Sci, Dept Phys, Jinju 52828, South Korea
[3] Gyeongsang Natl Univ, Coll Nat Sci, Res Inst Nat Sci, Jinju 52828, South Korea
来源：
ADVANCES IN HIGH ENERGY PHYSICS | 2018年 / 2018卷
关键词：
TIME-DEPENDENT INTERACTION;
D O I：
10.1155/2018/8124073
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
We have studied the scattering problem of relativistic fermions from a quaternionic double Dirac delta potential. We have used Dirac equation in the presence of the scalar and vector potentials in the quaternionic formalism of relativistic quantum mechanics to study the problem. The wave functions of different regions have been derived. Then, using the reflection coefficient, transmission coefficient, and the continuity equation, the scattering problem has been investigated in detail. It has been shown that we have faced some fluctuations in the reflection and transmission coefficients.
引用
收藏
页数：7
相关论文
共 50 条
  • [1] Relativistic scattering of fermions in quaternionic quantum mechanics
    Hassanabadi, Hassan
    Sobhani, Hadi
    Banerjee, Abhijit
    EUROPEAN PHYSICAL JOURNAL C, 2017, 77 (09):
  • [2] Relativistic scattering of fermions in quaternionic quantum mechanics
    Hassan Hassanabadi
    Hadi Sobhani
    Abhijit Banerjee
    The European Physical Journal C, 2017, 77
  • [3] Scattering in quantum mechanics under quaternionic Dirac delta potential
    Sobhani, Hadi
    Hassanabadi, Hasan
    CANADIAN JOURNAL OF PHYSICS, 2016, 94 (03) : 262 - 266
  • [4] Scattering state study of fermions due to q-deformed Dirac delta potential
    Heidari, N.
    Hassanabadi, H.
    Chung, W. S.
    EPL, 2022, 137 (06)
  • [5] Modified Dirac delta function and modified dirac delta potential in the quantum mechanics
    Chung, Won Sang
    Hassanabadi, Hassan
    EUROPEAN PHYSICAL JOURNAL PLUS, 2022, 137 (01):
  • [6] Modified Dirac delta function and modified dirac delta potential in the quantum mechanics
    Won Sang Chung
    Hassan Hassanabadi
    The European Physical Journal Plus, 137
  • [7] One-dimensional scattering of fermions in double Dirac delta potentials
    Santamaria-Sanz, L.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2023, 56 (38)
  • [8] DELTA-FUNCTION POTENTIAL IN THE RELATIVISTIC QUANTUM-MECHANICS
    KARPENKO, DY
    DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1989, (06): : 11 - 14
  • [9] Quantum mechanics of two relativistic bound fermions
    Giachetti, R.
    Sorace, E.
    QUANTUM COMPUTING: BACK ACTION 2006, 2006, 864 : 242 - +
  • [10] Quaternionic potentials in non-relativistic quantum mechanics
    De Leo, S
    Ducati, GC
    Nishi, CC
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (26): : 5411 - 5426
12345