scholarly journals Dirac Hamiltonian in a supersymmetric framework

2021 ◽  
Vol 62 (7) ◽  
pp. 072101
Author(s):  
Bijan Bagchi ◽  
Rahul Ghosh
Keyword(s):  
Dirac Hamiltonian

Resonances of the Dirac Hamiltonian in the Non Relativistic Limit

2001 ◽  
Vol 2 (3) ◽  
pp. 583-603 ◽  
Author(s):  
L. Amour ◽  
R. Brummelhuis ◽  
J. Nourrigat
Keyword(s):  
Relativistic Limit ◽  
Dirac Hamiltonian

scholarly journals Simulating Dirac Hamiltonian in curved space-time by split-step quantum walk

2019 ◽  
Vol 3 (1) ◽  
pp. 015012 ◽  
Author(s):  
Arindam Mallick ◽  
Sanjoy Mandal ◽  
Anirban Karan ◽  
C M Chandrashekar
Keyword(s):  
Quantum Walk ◽  
Space Time ◽  
Curved Space ◽  
Dirac Hamiltonian

Erratum: Stable variational calculations with the Dirac Hamiltonian

1984 ◽  
Vol 30 (3) ◽  
pp. 1548-1548 ◽  
Author(s):  
W. E. Baylis ◽  
S. J. Peel
Keyword(s):  
Variational Calculations ◽  
Dirac Hamiltonian

scholarly journals Modified Dirac Hamiltonian for efficient quantum mechanical simulations of micron sized devices

2016 ◽  
Vol 108 (11) ◽  
pp. 113105 ◽  
Author(s):  
K. M. Masum Habib ◽  
Redwan N. Sajjad ◽  
Avik W. Ghosh
Keyword(s):  
Quantum Mechanical ◽  
Dirac Hamiltonian

scholarly journals Exact Solutions of the Dirac Hamiltonian on the Sphere under Hyperbolic Magnetic Fields

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Özlem Yeşiltaş
Keyword(s):  
Magnetic Fields ◽  
Bound States ◽  
Spherical Surface ◽  
Solvable Models ◽  
Curved Space ◽  
Effective Potentials ◽  
Surface Parameterization ◽  
Supersymmetric Partner ◽  
Dependent Mass ◽  
Dirac Hamiltonian

Two-dimensional massless Dirac Hamiltonian under the influence of hyperbolic magnetic fields is mentioned in curved space. Using a spherical surface parameterization, the Dirac operator on the sphere is presented and the system is given as two supersymmetric partner Hamiltonians which coincides with the position dependent mass Hamiltonians. We introduce two ansatzes for the component of the vector potential to acquire effective solvable models, which are Rosen-Morse II potential and the model given Midya and Roy, whose bound states are JacobiX1type polynomials, and we adapt our work to these special models under some parameter restrictions. The energy spectrum and the eigenvectors are found for Rosen-Morse II potential. On the other hand, complete solutions are given for the second system. The vector and the effective potentials with their eigenvalues are sketched for each system.

scholarly journals The Dirac–Hamiltonian in an Aharonov–Bohm Gauge Field and its Self-Adjoint Extensions

1997 ◽  
Vol 12 (05) ◽  
pp. 337-345 ◽  
Author(s):  
Kazuhiko Odaka ◽  
Kazuya Satoh
Keyword(s):  
Gauge Field ◽  
The Self ◽  
Unitary Matrix ◽  
Spherical Coordinates ◽  
Angular Part ◽  
Aharonov Bohm ◽  
Dirac Hamiltonian

By using the spherical coordinates in (3+1) dimensions we study the self-adjointness of the Dirac–Hamiltonian in an Aharonov–Bohm gauge field of an infinitely thin magnetic fluxtube. It is shown that the angular part of the Dirac–Hamiltonian requires self-adjoint extensions. These self-adjoint extensions are parametrized by a 2×2 unitary matrix.

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