Full-text resources of PSJD and other databases are now available in the new Library of Science.
Visit https://bibliotekanauki.pl

PL EN


Preferences help
enabled [disable] Abstract
Number of results

Journal

2013 | 11 | 11 | 1589-1597

Article title

On noninertial effects inducing a confinement of a neutral particle to a hard-wall confining potential

Authors

Content

Title variants

Languages of publication

EN

Abstracts

EN
In this contribution, we discuss the confinement of a nonrelativistic spin-half neutral particle to a hard-wall confining potential induced by noninertial effects. We show that the geometry of the manifold plays the role of a hard-wall confining potential and yields bound state solutions. We also consider a neutral particle with a permanent magnetic dipole moment interacting with a field configuration induced by noninertial effects, and discuss the behaviour of the induced fields and obtain energy levels for bound states.

Publisher

Journal

Year

Volume

11

Issue

11

Pages

1589-1597

Physical description

Dates

published
1 - 11 - 2013
online
10 - 12 - 2013

Contributors

author
  • Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970, João Pessoa, PB, Brazil

References

  • [1] M. G. Sagnac, C. R. Acad. Sci. (Paris) 157, 708 (1913)
  • [2] M. G. Sagnac, C. R. Acad. Sci. (Paris) 157, 1410 (1913)
  • [3] E. J. Post, Rev. Mod. Phys. 39, 475 (1967) http://dx.doi.org/10.1103/RevModPhys.39.475[Crossref]
  • [4] B. Mashhoon, Phys. Rev. Lett. 61, 2639 (1988) http://dx.doi.org/10.1103/PhysRevLett.61.2639[Crossref]
  • [5] L. A. Page, Phys. Rev. Lett. 35, 543 (1975) http://dx.doi.org/10.1103/PhysRevLett.35.543[Crossref]
  • [6] S. A. Werner, J.-L. Staudenmann, R. Colella, Phys. Rev. Lett. 42, 1103 (1979) http://dx.doi.org/10.1103/PhysRevLett.42.1103[Crossref]
  • [7] F. W. Hehl, W.-T. Ni, Phys. Rev. D 42, 2045 (1990) http://dx.doi.org/10.1103/PhysRevD.42.2045[Crossref]
  • [8] I. Damião Soares, J. Tiomno, Phys. Rev. D 54, 2808 (1996) http://dx.doi.org/10.1103/PhysRevD.54.2808[Crossref]
  • [9] J. Anandan, J. Suzuki, In: G. Rizzi, M. L. Ruggiero (Eds.), Relativity in Rotating Frames, Relativistic Physics in Rotating Reference Frame (Kluwer Academic Publishers, Dordrecht, 2004) 361–369; arXiv:quant-ph/0305081.
  • [10] K. Bakke, C. Furtado, Phys. Rev. D 80, 024033 (2009) http://dx.doi.org/10.1103/PhysRevD.80.024033[Crossref]
  • [11] K. Bakke, C. Furtado, Phys. Rev. D 82, 084025 (2010) http://dx.doi.org/10.1103/PhysRevD.82.084025[Crossref]
  • [12] K. Bakke, Eur. Phys. J. Plus 127, 82 (2012) http://dx.doi.org/10.1140/epjp/i2012-12082-2[Crossref]
  • [13] K. Bakke, Phys. Lett. A 374, 3143 (2010) http://dx.doi.org/10.1016/j.physleta.2010.05.049[Crossref]
  • [14] K. Bakke, Phys. Lett. A 374, 4642 (2010) http://dx.doi.org/10.1016/j.physleta.2010.09.046[Crossref]
  • [15] K. Bakke, Eur. Phys. J. B 85, 354 (2012) http://dx.doi.org/10.1140/epjb/e2012-30490-6[Crossref]
  • [16] K. Bakke, Mod. Phys. Lett. B 27, 1350018 (2013) http://dx.doi.org/10.1142/S0217984913500188[Crossref]
  • [17] S. Weinberg, Gravitation and Cosmology: Principles and Aplications of the General Theory of Relativity (IE-Wiley, New York, 1972)
  • [18] M. O. Katanaev, I. V. Volovich, Ann. Phys. (NY) 216, 1 (1992) http://dx.doi.org/10.1016/0003-4916(52)90040-7[Crossref]
  • [19] L. D. Landau, E. M. Lifshitz, The Classical Theory of Fields, Course of Theoretical Physics, Vol. 2, 4th ed. (Elsevier, Oxford, 1980)
  • [20] F. Moraes, Braz. J. Phys 30, 304 (2000)
  • [21] N. D. Birrell, P. C. W. Davies, Quantum Fields in Curved Space (Cambridge University Press, Cambridge, UK, 1982) http://dx.doi.org/10.1017/CBO9780511622632[Crossref]
  • [22] M. Nakahara, Geometry, Topology and Physics (Institute of Physics Publishing, Bristol, 1998)
  • [23] C. W. Misner, K. S. Thorne, J. A. Wheeler, Gravitation (W. H. Freeman, San Francisco, 1973)
  • [24] W. Greiner, Relativistic Quantum Mechanics: Wave Equations, 3rd Edition (Springer, Berlin, 2000) http://dx.doi.org/10.1007/978-3-662-04275-5[Crossref]
  • [25] J. M. Bjorken, S. D. Drell, Relativistic Quantum Mechanics (McGraw-Hill Book Company, New York, 1964)
  • [26] A. Messiah, Quantum Mechanics (Dover Publications, Mineiola, 2000)
  • [27] M. Abramowitz, I. A. Stegum, Handbook of mathematical functions (Dover Publications Inc., New York, 1965)
  • [28] M. Peshkin, A. Tonomura, The Aharonov-Bohm Effect, (Springer-Verlag, in: Lecture Notes in Physics, Vol. 340, Berlin, 1989) http://dx.doi.org/10.1007/BFb0032076[Crossref]
  • [29] S. Azevedo, F. Moraes, Phys. Lett. A 246, 374 (1998) http://dx.doi.org/10.1016/S0375-9601(98)00527-1[Crossref]
  • [30] A. L. Silva Netto, C. Chesman, C. Furtado, Phys. Lett. A 372, 3894 (2008) http://dx.doi.org/10.1016/j.physleta.2008.02.060[Crossref]
  • [31] C. Furtado, C. A. de Lima Ribeiro, S. Azevedo, Phys. Lett. A 296, 171 (2002) http://dx.doi.org/10.1016/S0375-9601(02)00256-6[Crossref]
  • [32] E. Tsitsishvili, G. S. Lozano, A. O. Gogolin, Phys. Rev. B 70, 115316 (2004) http://dx.doi.org/10.1103/PhysRevB.70.115316[Crossref]
  • [33] N. Aquino, E. Castaño, E. Ley-Koo, Chinese J. Phys. 41, 276 (2003)
  • [34] L. Solimany, B. Kramer, Solid State Commun. 96, 471 (1995) http://dx.doi.org/10.1016/0038-1098(95)00439-4[Crossref]
  • [35] R. Rosas, R. Riera, J. L. Marín, J. Phys.: Condens. Matter 12, 6851 (2000) [Crossref]
  • [36] D. Loss, P. Goldbart, A. V. Balatsky, Phys. Rev. Lett. 65, 1655 (1990) http://dx.doi.org/10.1103/PhysRevLett.65.1655[Crossref]
  • [37] A. V. Balatsky, B. L. Altshuler, Phys. Rev. Lett. 70, 1678 (1993) http://dx.doi.org/10.1103/PhysRevLett.70.1678[Crossref]
  • [38] S. Oh, C.-M. Ryu, Phys. Rev. B 51, 13441 (1995) http://dx.doi.org/10.1103/PhysRevB.51.13441[Crossref]
  • [39] K. Bakke, C. Furtado, J. Math. Phys. 53, 023514 (2012) http://dx.doi.org/10.1063/1.3687022[Crossref]
  • [40] W.-C. Tan, J. C. Inkson, Semicond. Sci. Technol. 11, 1635 (1996) http://dx.doi.org/10.1088/0268-1242/11/11/001[Crossref]
  • [41] W.-C. Tan, J. C. Inkson, Phys. Rev. B 53, 6947 (1996) http://dx.doi.org/10.1103/PhysRevB.53.6947[Crossref]
  • [42] W.-C. Tan, J. C. Inkson, Phys. Rev. B 60, 5626 (1999) http://dx.doi.org/10.1103/PhysRevB.60.5626[Crossref]
  • [43] K. Bakke, C. Furtado, Mod. Phys. Lett. A 26, 1331 (2011) http://dx.doi.org/10.1142/S0217732311035766[Crossref]
  • [44] K. Bakke, Ann. Phys. (Berlin) 524, 338 (2012) http://dx.doi.org/10.1002/andp.201100322[Crossref]
  • [45] D. V. Bulaev, V. A. Geyler, V. A. Margulis, Phys. Rev. B 69, 195313 (2004) http://dx.doi.org/10.1103/PhysRevB.69.195313[Crossref]
  • [46] C. Furtado, A. Rosas, S. Azevedo, EPL 79, 57001 (2007) http://dx.doi.org/10.1209/0295-5075/79/57001[Crossref]
  • [47] J. Anandan, Phys. Lett. A 138, 347 (1989) http://dx.doi.org/10.1016/0375-9601(89)90828-1[Crossref]
  • [48] A. Ya. Silenko, Russ. Phys. J. 48, 788 (2005) http://dx.doi.org/10.1007/s11182-005-0203-1[Crossref]
  • [49] T. C. Mo, J. Math. Phys. 11, 2589 (1969) http://dx.doi.org/10.1063/1.1665428[Crossref]
  • [50] J. L. Anderson, J. W. Ryon, Phys, Rev. 181, 1765 (1969) http://dx.doi.org/10.1103/PhysRev.181.1765[Crossref]
  • [51] J. van Bladel, P. IEEE 64, 301 (1976) http://dx.doi.org/10.1109/PROC.1976.10111[Crossref]
  • [52] P. Schlüter, K.-H. Wietschorke, W. Greiner, J. Phys. A 16, 1999 (1983) http://dx.doi.org/10.1088/0305-4470/16/9/024[Crossref]
  • [53] M. Ericsson, E. Sjöqvist, Phys. Rev. A 65, 013607 (2001) http://dx.doi.org/10.1103/PhysRevA.65.013607[Crossref]
  • [54] L. D. Landau, E. M. Lifshitz, Quantum Mechanics, the nonrelativist theory, 3rd Ed. (Pergamon, Oxford, 1977)
  • [55] L. Dias, F. Moraes, Braz. J. Phys. 35, 636 (2005) http://dx.doi.org/10.1590/S0103-97332005000400009[Crossref]
  • [56] K. Bakke, Braz. J. Phys. 41, 167 (2011) http://dx.doi.org/10.1007/s13538-011-0023-4[Crossref]

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.-psjd-doi-10_2478_s11534-013-0313-2
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.