Symmetry operators for spin-½ relativistic wave equations on curved space-time

2000 ◽  
Vol 456 (2003) ◽  
pp. 2629-2643 ◽  
Author(s):  
R. G. McLenaghan ◽  
S. N. Smith ◽  
D. M. Walker
Keyword(s):  
Wave Equations ◽  
Space Time ◽  
Relativistic Wave Equations ◽  
Relativistic Wave ◽  
Curved Space ◽  
Symmetry Operators

scholarly journals PROBABILITY IN RELATIVISTIC QUANTUM MECHANICS AND FOLIATION OF SPACE–TIME

2007 ◽  
Vol 22 (32) ◽  
pp. 6243-6251 ◽  
Author(s):  
HRVOJE NIKOLIĆ
Keyword(s):  
Quantum Mechanics ◽  
Wave Equations ◽  
Integral Curve ◽  
Relativistic Quantum ◽  
Space Time ◽  
Relativistic Quantum Mechanics ◽  
Relativistic Wave ◽  
Probability Densities ◽  
The Many ◽  
Conserved Currents

The conserved probability densities (attributed to the conserved currents derived from relativistic wave equations) should be nonnegative and the integral of them over an entire hypersurface should be equal to one. To satisfy these requirements in a covariant manner, the foliation of space–time must be such that each integral curve of the current crosses each hypersurface of the foliation once and only once. In some cases, it is necessary to use hypersurfaces that are not spacelike everywhere. The generalization to the many-particle case is also possible.

Bhabha relativistic wave equations

1997 ◽  
Vol 30 (11) ◽  
pp. 4005-4017 ◽  
Author(s):  
R-K Loide ◽  
I Ots ◽  
R Saar
Keyword(s):  
Wave Equations ◽  
Relativistic Wave Equations ◽  
Relativistic Wave

On relativistic wave equations

1966 ◽  
Vol 9 (4) ◽  
pp. 99-103 ◽  
Author(s):  
V. S. Tumanov
Keyword(s):  
Wave Equations ◽  
Relativistic Wave Equations ◽  
Relativistic Wave

Relativistic Wave Equations

1955 ◽  
Vol 98 (3) ◽  
pp. 801-802 ◽  
Author(s):  
Herman Feshbach
Keyword(s):  
Wave Equations ◽  
Relativistic Wave Equations ◽  
Relativistic Wave

scholarly journals l-state Solutions of the Relativistic and Non-Relativistic Wave Equations for Modified Hylleraas-Hulthen Potential Using the Nikiforov-Uvarov Quantum Formalism

2018 ◽  
Vol 3 (1) ◽  
pp. 03-09 ◽  
Author(s):  
Hitler Louis ◽  
Ita B. Iserom ◽  
Ozioma U. Akakuru ◽  
Nelson A. Nzeata-Ibe ◽  
Alexander I. Ikeuba ◽  
...  
Keyword(s):  
Wave Equations ◽  
Approximation Scheme ◽  
Jacobi Polynomials ◽  
Energy Eigenvalue ◽  
Relativistic Wave Equations ◽  
Wave Functions ◽  
Quantum Mechanical ◽  
Relativistic Wave ◽  
Type Approximation ◽  
Klein Gordon

An exact analytical and approximate solution of the relativistic and non-relativistic wave equations for central potentials has attracted enormous interest in recent years. By using the basic Nikiforov-Uvarov quantum mechanical concepts and formalism, the energy eigenvalue equations and the corresponding wave functions of the Klein–Gordon and Schrodinger equations with the interaction of Modified Hylleraas-Hulthen Potentials (MHHP) were obtained using the conventional Pekeris-type approximation scheme to the orbital centrifugal term. The corresponding unnormalized eigen functions are evaluated in terms of Jacobi polynomials.

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