A class of exact solutions of the Einstein–Dirac equations

1991 ◽  
Vol 32 (1) ◽  
pp. 231-233 ◽  
Author(s):  
Patrick Wils
Keyword(s):  
Exact Solutions ◽  
Dirac Equations

Exact Solutions of Two Body Dirac Equations

1994 ◽  
Vol 49 (10) ◽  
pp. 983-986
Author(s):  
Nivedita Nag ◽  
Rajkumar Roychoudhury
Keyword(s):  
Quantum Mechanics ◽  
Exact Solutions ◽  
Supersymmetric Quantum Mechanics ◽  
Dirac Equations ◽  
Eigen Values

Abstract A set of exact eigen values and eigen functions for the two body Dirac problem described by the Hamiltonian H = (α⃗1 - α⃗2)p⃗ + β1m 1+ β2m2 + ½ (β1 + β2) λrare obtained using the properties of Supersymmetric Quantum Mechanics.

scholarly journals The Dirac electron consistent with proper gravitational and electromagnetic field of the Kerr-Newman solution

2020 ◽  
Author(s):  
Александр Буринский
Keyword(s):  
Electromagnetic Field ◽  
Quantum Theory ◽  
Gravitational Field ◽  
Exact Solutions ◽  
Coordinate System ◽  
Relativistic String ◽  
Dirac Equations ◽  
Dirac Electron ◽  
Relativistic Scattering

We consider the Dirac electron as a non-perturbative particle-like solution consistent with its own Kerr-Newman (KN) gravitational field. In our previous works we regularized the model of electron suggested by Israel and Lopez on the base of KN solution. Our model of electron was shaped similar to the bag models - the thin superconducting disk coupled with circular string placed along its perimeter. The specific feature of the KN string was its orientifold (two-faced) structure. In this work we use unique features of the Kerr-Schild coordinate system, which allows us to linearize Dirac equations in KN background, and obtain the exact solutions of the Dirac equations consistent with the KN gravitational and electromagnetic field. We show that the corresponding solution take the form of a massless relativistic string. Strong parallelism with quantum theory, which appears by our treatment, explains remarkable properties of the electron in relativistic scattering processes, which allow us to consider it as a point-like particle.

New exact solutions of the Dirac equations. VI

1977 ◽  
Vol 20 (6) ◽  
pp. 783-790 ◽  
Author(s):  
V. G. Bagrov ◽  
D. M. Gitman ◽  
A. V. Shapovalov ◽  
V. N. Shapovalov
Keyword(s):  
Exact Solutions ◽  
Dirac Equations ◽  
New Exact Solutions

Exact solutions of the Dirac equations in external non-Abel gauge fields

1985 ◽  
Vol 28 (7) ◽  
pp. 564-567 ◽  
Author(s):  
A. S. Vshivtsev ◽  
V. K. Peres-Fernandes ◽  
A. V. Tatarintsev
Keyword(s):  
Exact Solutions ◽  
Gauge Fields ◽  
Dirac Equations

Supplement to papers ?New exact solutions of dirac equations. II, III?

1977 ◽  
Vol 20 (1) ◽  
pp. 103-104 ◽  
Author(s):  
V. G. Bagrov ◽  
D. M. Gitman ◽  
A. G. Meshkov ◽  
V. N. Shapovalov
Keyword(s):  
Exact Solutions ◽  
Dirac Equations ◽  
New Exact Solutions

Exact solutions of the dirac equations in constant chromomagnetic type fields

1986 ◽  
Vol 29 (5) ◽  
pp. 376-380
Author(s):  
A. S. Vshivtsev ◽  
V. Ch. Zhukovskii ◽  
P. G. Midodashvili ◽  
A. V. Tatarintsev
Keyword(s):  
Exact Solutions ◽  
Dirac Equations

VACUUM CURRENTS AROUND A MAGNETIC FLUX STRING

1991 ◽  
Vol 06 (29) ◽  
pp. 5327-5347 ◽  
Author(s):  
E.G. FLEKKØY ◽  
J.M. LEINAAS
Keyword(s):  
Magnetic Flux ◽  
Exact Solutions ◽  
Vacuum Polarization ◽  
Local Effects ◽  
Polarization Effects ◽  
Dirac Equations ◽  
Dimensional Effects ◽  
Current Densities

We examine vacuum polarization effects around a singular magnetic flux string in 2+1 and 3+1 dimensions. In particular we determine the local effects: charge and current densities and the flux induced by the vacuum current. The analysis is performed entirely on the basis of exact solutions to the pertinent Dirac equations, and we find that the (3+1)-dimensional effects can be described in a simple way as a superposition of the (2+1)-dimensional effects.

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