Non-Lie and discrete symmetries of the dirac equation

Journal of Nonlinear Mathematical Physics

Volumn 4, Issue 3-4, 1997, Pages 436-444

  Niederle, Jiri ^a   Nikitin, Anatolii ^b  

^a INSTITUTE OF MATHEMATICS   (Czech Republic)

^b Institute of Mathematics of the National Academy of Sciences of Ukraina   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040610886     PISSN: 14029251     EISSN: 17760852     Source Type: Journal    
DOI: 10.2991/jnmp.1997.4.3-4.19     Document Type: Article

References (10)

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2. Miller, U., 1977. Symmetry and Separation of Variables, Wesley:Addison.
3. Ovsiannikov, L.V., 1978. Group Properties of Differential Equations, Moskow:Nauka.
4. Lie, S., 1893. Vorlesungen über Continuierliche Gruppen, Teubner:Leipzig.
5. Fushchych, W.I., 1971. On additional invariance of relativistic equations of motion. Teor. Mat. Fiz., 7:3–12.
6. Fushchych, W.I., 1974. On additional invariance of the Dirac and Maxwell equations. Lett. Nuovo Cimento, 11:508–512.
7. Fushchych, W.I., and Nikitin, A.G., 1977. On the new invariance groups of the Dirac and Kemmer-Duffin equations. Lett. Nuovo Cimento, 19:347–352.
8. Niederle, J., and Nikitin, A.G., 1997. Involutive Symmetries, Supersymmetries and Reductions of the Dirac Equation. J. Phys. A, 30:999–1011.
9. Fushchych, W.I., and Nikitin, A.G., 1994. Symmetries of Equations of Quantum Mechanics, N.Y:Allerton Press Inc.
10. Feza, Gürsey. 1958. Connection of charge independence and barion number conservation with the Pauli transformation. Nuovo Cimento, 8:411–415. Plebanski J.F. and Pursey D.L., Symmetries of the Dirac equation, Phys. Rev. D, 1984, V.29, 1848–1850