A pseudo energy-invariant method for relativistic wave equations with Riesz space-fractional derivatives

2018 ◽  
Vol 224 ◽  
pp. 98-107 ◽  
Author(s):  
J.E. Macías-Díaz ◽  
A.S. Hendy ◽  
R.H. De Staelen
Keyword(s):  
Fractional Derivatives ◽  
Wave Equations ◽  
Relativistic Wave Equations ◽  
Riesz Space ◽  
Relativistic Wave ◽  
Invariant Method

scholarly journals Relativistic wave equations with fractional derivatives and pseudodifferential operators

2002 ◽  
Vol 2 (4) ◽  
pp. 163-197 ◽  
Author(s):  
Petr Závada
Keyword(s):  
Fractional Derivatives ◽  
Wave Equations ◽  
Pseudodifferential Operators ◽  
Relativistic Wave Equations ◽  
Green Functions ◽  
Relativistic Wave ◽  
Fractional Powers ◽  
Dirac Equations ◽  
Klein Gordon ◽  
Symmetry Transformations

We study the class of the free relativistic covariant equations generated by the fractional powers of the d′Alembertian operator(□1/n). The equations corresponding ton=1and2(Klein-Gordon and Dirac equations) are local in their nature, but the multicomponent equations for arbitraryn>2are nonlocal. We show the representation of the generalized algebra of Pauli and Dirac matrices and how these matrices are related to the algebra ofSU (n)group. The corresponding representations of the Poincaré group and further symmetry transformations on the obtained equations are discussed. The construction of the related Green functions is suggested.

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.

Relativistic wave equations

2013 ◽  
pp. 810-865
Author(s):  
Victor Galitski ◽  
Boris Karnakov ◽  
Vladimir Kogan ◽  
Victor Galitski, Jr.
Keyword(s):  
Wave Equations ◽  
Relativistic Wave Equations ◽  
Relativistic Wave
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