Propagation of vortex electron wave functions in a magnetic field

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 86, Issue 1, 2012, Pages

  Gallatin, Gregg M ^a   McMorran, Ben ^b  

^a NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

^b UNIVERSITY OF OREGON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COHERENT BEAMS; ELECTRON WAVE FUNCTIONS; EXTERNAL ELECTROMAGNETIC FIELD; GYROMAGNETIC RATIO; INDEX OF REFRACTION; ORBITAL ANGULAR MOMENTUM; PATH INTEGRAL SOLUTION; PHOTON BEAMS; POSITION DEPENDENTS; PREFACTORS; TIME EVOLUTIONS; VORTEX BEAMS;

ELECTRON BEAMS; ELECTRON OPTICS; LIGHT; PHOTONS; REFRACTIVE INDEX; SCHRODINGER EQUATION; WAVE FUNCTIONS;

VORTEX FLOW;

EID: 84863647333     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.86.012701     Document Type: Article

References (24)

1. Mark R. Dennis, Kevin O'Holleran, and Miles J. Padgett, Prog. Opt. 0079-6638 10.1016/S0079-6638(08)00205-9 53, 293 (2009).
2. Miles Padgett, Johannes Courtial, and Les Allen, Phys. Today 0031-9228 10.1063/1.1768672 57 (5), 35 (2004).
3. U. D. Jentschura and V. G. Serbo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.013001 106, 013001 (2011).
4. Sri Rama Prasanna Pavani and Rafael Peistun, Opt. Exp. OPEXFF 1094-4087 10.1364/OE.16.003484 16, 3484 (2008). (Pubitemid 351342570)
5. Gabriel Molina-Terriza, Juan P. Torres, and Lluis Torner, Nat. Phys. 1745-2473 10.1038/nphys607 3, 305 (2007).
6. Sri Rama Prasanna Pavani, Michael A. Thompson, Julie S. Biteen, Samuel J. Lord, Na Liu, Robert J. Twieg, Rafael Piestun, and W. E. Moerner, Proc. Natl. Acad. Sci. USA 0027-8424 10.1073/pnas.0900245106 106, 2995 (2009).
7. Michael A. Thompson, Matthew D. Lew, Majid Badieirostami, and W. E. Moerner, Nano Lett. NALEFD 1530-6984 10.1021/nl903295p 10, 211 (2010).
8. Benjamin J. McMorran, Amit Agrawal, Ian M. Anderson, Andrew A. Herzing, Henri J. Lezec, Jabez J. McClelland, and John Unguris, Science SCIEAS 0036-8075 10.1126/science.1198804 331, 192 (2011).
9. Konstantin Yu. Bliokh, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.190404 99, 190404 (2007). (Pubitemid 350074485)
10. J. Verbeek, H. Tian, and P. Schattschneider, Nature (London) NATUAS 0028-0836 10.1038/nature09366 467, 301 (2010).
11. P. Schattschneider and J. Verbeeck, Ultramicroscopy ULTRD6 0304-3991 10.1016/j.ultramic.2011.07.004 111, 1461 (2011).
12. Konstantin Yu. Bliokh, Mark R. Dennis, and Franco Nori, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.174802 107, 174802 (2011).
13. A. Zee, Quantum Field Theory in a Nutshell, 2nd ed., Chap. III.6 (Princeton University Press, Princeton, 2010).
14. Richard P. Feynman, Albert R. Hibbs, and Daniel F. Styer, Quantum Mechanics and Path Integrals: Emended Edition, (Dover Publications, Mineola, NY, 2010).
15. Hagen Kleinert, Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets, 5th ed., Chap. 2.18 (World Scientific Publishing Company, Singapore, 2009).
16. Richard P. Feynman, Albert R. Hibbs, and Daniel F. Styer, Quantum Mechanics and Path Integrals: Emended Edition, Problem 3-10 (Dover Publications, Mineola, NY, 2010).
17. See, for example, J. J. Sakurai and Jim J. Napolitano, Modern Quantum Mechanics, 2nd ed. (Addison Wesley, London, 2011).
18. Francesco Pampaloni and Joerg Enderlein, arXiv: physics/0410021v1.
19. M. V. Berry, Eur. J. Phys. EJPHD4 0143-0807 10.1088/0143-0807/1/4/011 1, 240 (1980).
20. H. Y. Kim and J. H. Weiner, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.7.1353 7, 1353 (1973).
21. M. D. Feit and J. A. Fleck Jr., Appl. Opt. APOPAI 0003-6935 10.1364/AO.17.003990 17, 3990 (1978).
22. See, for example, Amnon Yariv and Pochi Yeh, Optical Waves in Crystals: Propagation and Control of Laser Radiation, Chap. 2 (Wiley-Interscience, Hoboken, 2002).
23. M. V. Berry, Physics Today 0031-9228 10.1063/1.881219 43 (12), 34 (1990).
24. See, for example, A. Zee, Quantum Field Theory in a Nutshell, 2nd ed., Chap. IV.4 (Princeton University Press, Princeton, 2010).