Solution of the Dirac equation in orthogonal electric and magnetic fields

V. Canuto; C. Chiuderi

doi:10.1007/bf02754363

Solution of the Dirac equation in orthogonal electric and magnetic fields

Lettere al Nuovo Cimento ◽

10.1007/bf02754363 ◽

1969 ◽

Vol 2 (6) ◽

pp. 223-227 ◽

Cited By ~ 20

Author(s):

V. Canuto ◽

C. Chiuderi

Keyword(s):

Dirac Equation ◽

Magnetic Fields ◽

Electric And Magnetic Fields

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New exact solutions of the Dirac equation

Canadian Journal of Physics ◽

10.1139/p70-244 ◽

1970 ◽

Vol 48 (16) ◽

pp. 1935-1937 ◽

Cited By ~ 11

Author(s):

Lui Lam

Keyword(s):

Dirac Equation ◽

Magnetic Fields ◽

Exact Solutions ◽

New Exact Solutions ◽

Electric And Magnetic Fields ◽

Dirac Electron ◽

Klein Gordon ◽

Special Case

Exact solutions of a Dirac electron in constant crossed electric and magnetic fields are found and given explicitly. The case of Klein–Gordon particles is shown to be a special case of ours.

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INVARIANT SOLUTION OF THE DIRAC EQUATION IN THE CROSSED ELECTRIC AND MAGNETIC FIELDS $ (H \mathclose{>} E) $

Proceedings of the YSU A: Physical and Mathematical Sciences ◽

10.46991/pysu:a/2019.53.2.138 ◽

2019 ◽

Vol 53 (2 (249)) ◽

pp. 138-141

Author(s):

R.G. Petrosyan ◽

M.A. Davtyan

Keyword(s):

Dirac Equation ◽

Magnetic Fields ◽

Harmonic Oscillator ◽

Invariant Solution ◽

Charged Particles ◽

Invariant Solutions ◽

Quantum Harmonic Oscillator ◽

Electric And Magnetic Fields

In the article exact analytical and invariant solutions for both spinless and half-spin relativistic charged particles in crossed constant electric and magnetic fields, when $ H \mathclose{>} E $ have been found. It is shown that in both cases the problem reduces to that of quantum harmonic oscillator.

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FERMIONS TUNNELING OF DYONIC PARTICLES FROM THE CHARGED AND MAGNETIZED BLACK HOLES

Modern Physics Letters A ◽

10.1142/s0217732309029958 ◽

2009 ◽

Vol 24 (20) ◽

pp. 1605-1615 ◽

Cited By ~ 2

Author(s):

XIAOXIONG ZENG

Keyword(s):

Black Holes ◽

Black Hole ◽

Dirac Equation ◽

Magnetic Fields ◽

Gravity Field ◽

Gauge Potential ◽

Fermions Tunneling ◽

Electric And Magnetic Fields ◽

Simplified Method

The fermions tunneling formulism of Kerner and Mann is extended to the case of black holes with electric and magnetic charges. As the electric and magnetic fields would couple with gravity field, we introduce the Dirac equation of charged and magnetized particles. We study the spin-up particles from the Reissner–Nordström black hole with magnetic charges and spin-down particles from the Kerr–Newman–Kasuya black hole and obtain the corresponding emission temperatures. In particular, we also provide a simplified method by defining an equivalent charge and gauge potential to further discuss tunneling of charged and magnetized fermions, which reproduces the same results as obtained above.

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