Dynamical and kinematical supersymmetries of the quantum harmonic oscillator and the motion in a constant magnetic field

1988 ◽  
Vol 21 (3) ◽  
pp. 651-667 ◽  
Author(s):  
J Beckers ◽  
D Dehin ◽  
V Hussin
Keyword(s):  
Magnetic Field ◽  
Harmonic Oscillator ◽  
Constant Magnetic Field ◽  
Quantum Harmonic Oscillator

scholarly journals On the (2 + 1)-dimensional Dirac equation in a constant magnetic field with a minimal length uncertainty

2015 ◽  
Vol 24 (02) ◽  
pp. 1550016 ◽  
Author(s):  
P. Pedram ◽  
M. Amirfakhrian ◽  
H. Shababi
Keyword(s):  
Magnetic Field ◽  
Wave Function ◽  
Dirac Equation ◽  
General Solution ◽  
Harmonic Oscillator ◽  
Constant Magnetic Field ◽  
Minimal Length ◽  
Two Dimensional ◽  
Quantum Numbers ◽  
Dirac Hamiltonian

In this paper, we exactly solve the (2 + 1)-dimensional Dirac equation in a constant magnetic field in the presence of a minimal length. Using a proper ansatz for the wave function, we transform the Dirac Hamiltonian into two two-dimensional nonrelativistic harmonic oscillator and obtain the solutions without directly solving the corresponding differential equations which are presented by Menculini et al. [Phys. Rev. D 87 (2013) 065017]. We also show that Menculini et al. solution is a subset of the general solution which is related to the even quantum numbers.

CONSTRAINED SUPERFIELDS AND SUPERSYMMETRIC MAGNETIC FIELD SYSTEMS

1988 ◽  
Vol 03 (02) ◽  
pp. 487-497 ◽  
Author(s):  
D. DEHIN ◽  
V. HUSSIN
Keyword(s):  
Magnetic Field ◽  
Harmonic Oscillator ◽  
Transverse Magnetic Field ◽  
Constant Magnetic Field ◽  
Standard Procedure ◽  
Transverse Magnetic ◽  
Coupling Procedure ◽  
Field Systems

After Lancaster we examine chiral constraints in N=2 superspace formulation for super-symmetric magnetic field systems. Such odd constraints are connected with the so-called spinorbit coupling procedure of supersymmetrization. We also propose new even constraints for magnetic supersymmetric systems and relate them to the standard procedure enhanced by Witten. These models describing spin-one half particles moving in a plane with a transverse magnetic field are compared and discussed. The cases of a constant magnetic field and of the harmonic oscillator are connected through different correspondences.

scholarly journals TRANSITION AMPLITUDES WITHIN THE STOCHASTIC QUANTIZATION SCHEME

1994 ◽  
Vol 09 (32) ◽  
pp. 2953-2966 ◽  
Author(s):  
H. HÜFFEL ◽  
H. NAKAZATO
Keyword(s):  
Magnetic Field ◽  
Quantum Mechanics ◽  
Harmonic Oscillator ◽  
Constant Magnetic Field ◽  
Quantum Mechanical ◽  
Quantization Scheme ◽  
Stochastic Quantization ◽  
Nonrelativistic Particle ◽  
Mechanical Transition ◽  
Transition Amplitudes

Quantum mechanical transition amplitudes are calculated within the stochastic quantization scheme for the free nonrelativistic particle, the Harmonic oscillator and the nonrelativistic particle in a constant magnetic field; we conclude with free Grassmann quantum mechanics.

q-DEFORMED ALGEBRAS AND THE TWO-ANYON PROBLEM

1996 ◽  
Vol 11 (18) ◽  
pp. 1489-1495 ◽  
Author(s):  
P. ROY
Keyword(s):  
Magnetic Field ◽  
Harmonic Oscillator ◽  
Constant Magnetic Field ◽  
Wave Functions ◽  
Oscillator Potential ◽  
Harmonic Oscillator Potential ◽  
Deformed Algebras ◽  
Symmetry Algebras

It is shown that the two-anyon system in a harmonic oscillator potential and in a constant magnetic field admits certain q-deformed symmetry algebras realized over the space of wave functions of the respective systems.

Sign in / Sign up

Export Citation Format

Share Document