scholarly journals Exact solutions of the Dirac equations in an anisotropic cosmological background

1995 ◽  
Vol 36 (8) ◽  
pp. 4296-4300 ◽  
Author(s):  
Renato Portugal
Keyword(s):  
Exact Solutions ◽  
Cosmological Background ◽  
Dirac Equations

scholarly journals Breaking the cosmological background degeneracy by two-fluid perturbations in f(R) gravity

2015 ◽  
Vol 24 (07) ◽  
pp. 1550053 ◽  
Author(s):  
Amare Abebe
Keyword(s):  
General Relativity ◽  
Exact Solutions ◽  
Structure Formation ◽  
Background Level ◽  
Cosmological Perturbations ◽  
Gauge Invariant ◽  
First Order ◽  
Cosmological Background ◽  
Theories Of Gravity ◽  
Two Fluid

One of the exact solutions of f(R) theories of gravity in the presence of different forms of matter exactly mimics the ΛCDM solution of general relativity (GR) at the background level. In this work we study the evolution of scalar cosmological perturbations in the covariant and gauge-invariant formalism and show that although the background in such a model is indistinguishable from the standard ΛCDM cosmology, this degeneracy is broken at the level of first-order perturbations. This is done by predicting different rates of structure formation in ΛCDM and the f(R) model both in the complete and quasi-static regimes.

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

scholarly journals EXACT SOLUTION OF THE MASSLESS DKP EQUATION IN A NONSTATIONARY GÖDEL-TYPE COSMOLOGICAL UNIVERSE

2004 ◽  
Vol 13 (05) ◽  
pp. 935-944 ◽  
Author(s):  
ALI HAVARE ◽  
OKTAY AYDOGDU ◽  
TAYLAN YETKIN
Keyword(s):  
Exact Solution ◽  
Field Equation ◽  
Exact Solutions ◽  
Frequency Spectrum ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Classical Field ◽  
Dkp Equation ◽  
Cosmological Background

In this paper the massless Duffin–Kemmer–Petiau equation in a nonstationary rotating, causal Gödel-type cosmological background is studied. Exact solutions of the corresponding field equation are obtained and used to calculate the frequency spectrum of photon in nonstationary Gödel-type universe. To compare the results found with the classical field solutions, we also solved Maxwell's equations as given in the appendix.

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