Exact solutions of the Dirac equation with harmonic pseudoscalar, scalar or electric potential

Journal of Physics A: Mathematical and General

Volumn 31, Issue 37, 1998, Pages 7561-7575

  Vladislav, Kravchenko V ^a  

^a INSTITUTO POLITÉCNICO NACIONAL   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041125876     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/31/37/014     Document Type: Article

References (24)

1. Bagrov V G and Gitman D M 1990 Exact Solutions of Relativistic Wave Equations (Dordrecht: Kluwer) p 323
2. Baylis W E 1992 Classical eigenspinors and the Dirac equation Phys. Rev. A 45 4293-302
3. Baylis W E 1997 Eigenspinors and electron spin Adv. Appl. Clifford Alg. 7(S) 197-213
4. Baylis W E and Jones G 1989 Relativistic dynamics of charges in external fields: the Pauli algebra approach J. Phys. A: Math. Gen. 22 17-29
5. Berezin A V, Kurochkin Yu A and Tolkachev E A 1989 Quaternions in Relativistic Physics (Minsk: Nauka y Tekhnika) (in Russian)
6. Berezin A V, Tolkachev E A and Fedorov F I 1980 Lorentz transformations and equations for spinor quaternions Dokl. Akad. Nauk 24 308-10 (in Russian)
7. Bitsadze A V 1968 Boundary Value Problems for Second-order Elliptic Equations (Amsterdam: North-Holland)
8. Bogoliubov N N and Shirkov D V 1993 Quantum Fields (Moscow: Fizmatlit) p 336 (in Russian)
9. Brackx F, Delanghe R and Sommen F 1982 Clifford Analysis Pitman Research Notes in Maths vol 76, p 308
10. Casanova G 1976 L'algebre Vectorielle Presses Universitaires de France
11. Dzhuraev A D 1987 Singular Integral Equation Method (Moscow: Nauka) (in Russian) (Engl. transl. 1992 Longman Sci. Tech. (New York: Wiley))
12. Dzhuraev A D 1987 Singular Integral Equation Method (Moscow: Nauka) (in Russian) (Engl. transl. 1992 Longman Sci. Tech. (New York: Wiley))
13. Gürlebeck K and Sprößig Q 1989 Quaternionic Analysis and Elliptic Boundary Value Problems (Berlin: Akademie)
14. Hestenes D 1997 Real Dirac theory Adv. Appl. Clifford Alg. 7(S) 97-144
15. Kravchenko V V 1995 On a biquatemionic bag model Z. Anal. Anwendungen 14 3-14
16. Kravchenko V V 1998 On the Dirac operator with an electromagnetic potential Z. Anal. Anwendungen 17 549-56
17. Kravchenko V V, Malonek H R and Santana G 1996 Biquaternionic integral representations for massive Dirac spinors in a magnetic field and generalized biquaternionic differentiability Math. Methods Appl. Sci. 19 1415-31
18. Kravchenko V V and Shapiro M V 1996 Integral Representations for Spatial Models of Mathematical Physics (Pitman Res Notes in Math. Series 351) (London: Addison-Wesley-Longman)
19. Moisil G 1931 Sur les quaternions monogenes Bull. Sci. Math., Paris 55 169-94
20. Moisil G and Theodoresco N 1931 Functions holomorphes dans l'espace Mathematica 5 142-59
21. Reed M and Simon B 1978 Methods of Modern Mathematical Physics IV, Analysis of Operators (New York: Academic)
22. Soucek V 1983 Complex-quaternionic analysis applied to spin 1/2 massless fields Complex Variables, Theory Applications 1 327-46
23. Thaller B 1992 The Dirac Equation (Berlin: Springer)
24. Vrbik J 1994 Dirac equation and Clifford algebra J. Math. Phys. 35 2309-14