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2012, ISBN 9781848167971, xiii, 201
Book
REVIEWS IN MATHEMATICAL PHYSICS, ISSN 0129-055X, 10/2019, Volume 31, Issue 9, p. 1950032
The relativistic Lippmann-Schwinger equation was earlier formulated in terms of the limit values of the corresponding resolvent. In the present paper, we write... 
scattering operator | Dirac equation | relativistic scattering amplitude | wave operator | compact operator | SCATTERING PROBLEMS | PHYSICS, MATHEMATICAL | relativistic Lippmann-Schwinger equation | Rollnik class
Journal Article
1992, Texts and monographs in physics., ISBN 9783540548836, xvii, 357
Book
2007, Lecture notes in physics, ISBN 9783540712923, Volume 722, xiv, 445
Maxwell, Dirac and Einstein's equations are certainly among the most imp- tant equations of XXth century Physics and it is our intention in this book to 1... 
Space and time | Geometry, Differential | Dirac equation | Relativity (Physics) | Maxwell equations | Mathematical physics | Einstein field equations | Mathematical Methods in Physics | Differential Geometry | Relativity and Cosmology | Physics
Book
2015, 2nd edition., Advances in applied mathematics, ISBN 9781482251029, xvii, 667
Since publication of the first edition over a decade ago, Green's Functions with Applicationshas provided applied scientists and engineers with a systematic... 
Green's functions | Green-Funktion
Book
1993, Mathematics, theory & applications., ISBN 9780817636814, xviii, 307
Book
Nature, ISSN 0028-0836, 01/2010, Volume 463, Issue 7277, pp. 68 - 71
The Dirac equation(1) successfully merges quantum mechanics with special relativity. It provides a natural description of the electron spin, predicts the... 
GRAPHENE | MULTIDISCIPLINARY SCIENCES | Models | Research | Simulation methods | Methods | Quantum theory | Dirac equation
Journal Article
Journal of Mathematical Sciences, ISSN 1072-3374, 6/2018, Volume 231, Issue 6, pp. 820 - 826
The paper deals with nonlinear one-dimensional Dirac equation. We describe the set of its invariants by means of the deformed linear Dirac equation using the... 
Mathematics, general | Mathematics | Differential equations | Research | Mathematics - Dynamical Systems | ONE-DIMENSIONAL CALCULATIONS | DIRAC EQUATION | NONLINEAR PROBLEMS | DEFORMATION | MATHEMATICAL METHODS AND COMPUTING
Journal Article
Physics Letters A, ISSN 0375-9601, 07/2017, Volume 381, Issue 25-26, pp. 2050 - 2054
New exact analytical bound-state solutions of the radial Dirac equation in dimensions for two sets of couplings and radial potential functions are obtained via... 
Dirac equation | Morse potential | STEP-DOWN OPERATORS | LAPLACE TRANSFORM | STATES | PHYSICS, MULTIDISCIPLINARY | SINGULAR HARMONIC-OSCILLATOR | LADDER OPERATORS | PLUS
Journal Article
1987, Mathematics and its applications. (Soviet series), ISBN 9789027723208, Volume MASS8., xiv, 214
Book
New Journal of Physics, ISSN 1367-2630, 2014, Volume 16, Issue 9, pp. 93008 - 25
We write the charge-free Maxwell equations in a form analogous to that of the Dirac equation for a free electron. This allows us to apply to light some of the... 
optical angular momentum | relativistic quantum theory | mechanical properties of light | Dirac equation | SPIN | PHYSICS, MULTIDISCIPLINARY | LIGHT | ELECTROMAGNETIC-FIELD | CONSERVATION LAW | PARTICLE ASPECT | ORBITAL ANGULAR-MOMENTUM | MAXWELL | WAVE-EQUATION | Relativistic theory | Orbitals | Free electrons | Maxwell equation
Journal Article
EPL, ISSN 0295-5075, 11/2016, Volume 116, Issue 4, pp. 40001 - 40001
Starting with a Nambu-Goto action, a Dirac-like equation can be constructed by taking the square-root of the momentum constraint. The eigenvalues of the... 
PHYSICS, MULTIDISCIPLINARY | ELECTRON | MODEL | Mathematical analysis | Dirac equation | Exact solutions | Eigenvalues | Oscillations | Wave functions | Tachyons | Strings
Journal Article
Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 12/2017, Volume 40, Issue 18, pp. 7287 - 7306
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 01/2014, Volume 256, pp. 728 - 747
A finite difference scheme is presented for the Dirac equation in D. It can handle space- and time-dependent mass and potential terms and utilizes exact... 
Finite difference | Fermion doubling | Leap-frog | Dirac equation | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | ELECTRONS | SCHRODINGER-EQUATION | DYNAMICS | Leap frog | SYSTEMS | MODEL | PHYSICS, MATHEMATICAL | Mathematical analysis | Norms | Boundary conditions | Reflection | Dispersions | Boundaries | Finite difference method | Fermions | Preserves
Journal Article
Advances in Applied Clifford Algebras, ISSN 0188-7009, 06/2017, Volume 27, Issue 2, pp. 1779 - 1799
Using Clifford and Spin-Clifford formalisms we prove that the classical relativistic Hamilton Jacobi equation for a charged massive (and spinning) particle... 
Clifford bundle | Hamilton–Jacobi equation | de Broglie–Bohm theory | Dirac equation | FIELDS | MATHEMATICS, APPLIED | Hamilton-Jacobi equation | SPINOR-STRUCTURE | GENERAL-RELATIVITY | OBSERVABLES | de Broglie-Bohm theory | PHYSICS, MATHEMATICAL | SPACE-TIMES | Electromagnetic fields | Electromagnetism
Journal Article
Optik - International Journal for Light and Electron Optics, ISSN 0030-4026, 07/2017, Volume 140, pp. 1010 - 1019
We have shown that the quantum Telegraph equation (QTE) is a quantum equation for the description of quantum phenomena. It inherently embodies the... 
Schrodinger equation | De broglie wave equation | Quantum mechanics | Dirac equation | Telegraph equation | Matter wave equation | Klein–Gordon equation | Bohmian quantum mechanics | Klein-Gordon equation | DIFFRACTION | OPTICS | Electrical conductivity
Journal Article