Pinning and transport of cyclotron (Landau) orbits by electromagnetic vortices

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 73, Issue 5, 2006, Pages

  Bialynicki Birula, Iwo ^a,b   Radozycki, Tomasz ^b  

^a CENTER FOR THEORETICAL PHYSICS   (Poland)

^b UNIVERSITY OF WARSAW   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTROMAGNETISM; FUNCTIONS; HIGH ENERGY PHYSICS; ORBITS; QUANTUM THEORY; RESONANCE;

CLASSICAL THEORY; ELECTROMAGNETIC VORTICES; LORENTZ EQUATION; PARAMETRIC RESONANCE; VORTEX LINES;

CYCLOTRONS;

EID: 33646911040     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.73.052114     Document Type: Article

References (31)

1. I. Bialynicki-Birula, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.020402 93, 020402 (2004).
2. V. G. Bagrov and D. M. Gitman, Exact Solutions of Relativistic Wave Equations (Kluwer, Dordrecht, 1990).
3. C. S. Roberts and S. J. Buchsbaum, Phys. Rev. PRVAAH 0096-8250 10.1103/PhysRev.135.A381 135, A381 (1964).
4. J. Arldt, T. Hitomi, and K. Dholakia, Appl. Phys. B: Lasers Opt. APBOEM 0946-2171 10.1007/s003400000376 71, 549 (2000).
5. D. P. Rhodes, D. M. Gherard, J. Livesey, D. McGloin, H. Melville, T. Freegarde, and K. Dholakia, J. Mod. Opt. JMOPEW 0950-0340 10.1080/ 09500340500429960 53, 547 (2006).
6. D. McGloin, G. C. Spalding, H. Melville, W. Sibbett, and K. Dholakia, Opt. Express OPEXFF 1094-4087 11, 158 (2003).
7. G. Y. Rainich, Trans. Am. Math. Soc. TAMTAM 0002-9947 27, 106 (1925).
8. I. Bialynicki-Birula and Z. Bialynicka-Birula, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.062114 67, 062114 (2003).
9. I. Bialynicki-Birula, J. Opt. A, Pure Appl. Opt. JOAOF8 1464-4258 10.1088/1464-4258/6/5/007 6, S181 (2004).
10. M. S. Soskin, V. N. Gorshkov, M. V. Vasnetsov, J. T. Malos, and N. R. Heckenberg, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.56.4064 56, 4064 (1997).
11. L. Allen, M. J. Padgett, and M. Babiker, in The Orbital Angular Momentum of Light, Progress in Optics, edited by, E. Wolf, (Elsevier, Amsterdam, 1999), Vol. 39.
12. D. McGloin and K. Dholakia, Contemp. Phys. CTPHAF 0010-7514 45, 15 (2005).
13. J. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941), Chap..
14. I. Bialynicki-Birula, in Progress in Optics, edited by, E. Wolf, (Elsevier, Amsterdam, 1996);
15. I. Bialynicki-Birula, e-print quant-ph/0508202.
16. O. Keller, Phys. Rep. PRPLCM 0370-1573 411, 1 (2005).
17. E. T. Whittaker, Proc. London Math. Soc. PLMTAL 1, 367 (1904).
18. I. Bialynicki-Birula and Z. Bialynicka-Birula, Opt. Commun. OPCOB8 0030-4018 (to be published);
19. I. Bialynicki-Birula and Z. Bialynicka-Birula, e-print physics/0502025.
20. S. Wolfram, The Mathematica Book, 5th ed. (Wolfram Media, Champaign, IL, 2003).
21. I. Bialynicki-Birula, Z. Bialynicka-Birula, and B. Chmura, Laser Phys. LAPHEJ 1054-660X 15, 1371 (2005);
22. I. Bialynicki-Birula, Z. Bialynicka-Birula, and B. Chmura, e-print physics/0309112.
23. W. Paul, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.62.531 62, 531 (1990).
24. I. Bialynicki-Birula and T. Sowiński, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.043610 71, 043610 (2005);
25. I. Bialynicki-Birula and T. Sowiński, e-print quant-ph/0412004.
26. I. Bialynicki-Birula, M. Kalinski, and J. H. Eberly, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.1777 73, 1777 (1994).
27. I. Bialynicki-Birula and Z. Bialynicka-Birula, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.4298 77, 4298 (1996).
28. P. A. M. Dirac, Principles of Quantum Mechanics (Oxford University Press, Oxford, 1958).
29. W. Kohn, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.123.1242 123, 1242 (1961).
30. J. F. Dobson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73. 2244 73, 2244 (1994).
31. I. Bialynicki-Birula and Z. Bialynicka-Birula, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.063606 65, 063606 (2002).