On the Aharonov-Casher system subject to a Coulomb-type potential
Tóm tắt
By considering the confinement of the Aharonov-Casher system to a Coulomb-type potential, we show that the energy levels depends on the Aharonov-Casher geometric phase and obtain the persistent spin currents. Besides, we investigate the influence of the Coulomb-type potential on the Landau-Aharonov-Casher system by showing that bound states solutions to the Schrödinger-Pauli equation can be obtained. We show that the Landau-Aharonov-Casher cyclotron frequency is modified and discuss a quantum characterized by the dependence of the angular frequency on the quantum numbers of the system. As a particular case, we calculate the possible values of the angular frequency associated with the ground state.
Tài liệu tham khảo
J. Anandan, Phys. Lett. A 138, 347 (1989)
J. Anandan, Phys. Rev. Lett. 85, 1354 (2000)
A.Ya. Silenko, Russ. Phys. J. 48, 788 (2005)
C. Furtado, C.A. de Lima Ribeiro, Phys. Rev. A 69, 064104 (2004)
X.-G. He, B.H.J. McKellar, Phys. Rev. A 47, 3424 (1983)
M. Wilkens, Phys. Rev. Lett. 72, 5 (1994)
Y. Aharonov, A. Casher, Phys. Rev. Lett. 53, 319 (1984)
A. Zeilinger, R. Gähler, M.A. Horne, Phys. Lett. A 154, 93 (1991)
S. Dulat, K. Ma, Phys. Rev. Lett. 108, 070405 (2012)
Y.D. Han, I.G. Koh, Phys. Lett. A 167, 341 (1992)
C. Casella, Phys. Rev. Lett. 65, 2217 (1990)
B. Resnik, Y. Aharonov, Phys. Rev. D 40, 4178 (1989)
G. Badurek et al., Phys. Rev. Lett. 71, 307 (1993)
M. Peshkin, Found. Phys. 29, 481 (1999)
R. Mignani, J. Phys. A: Math. Gen. 24, L421 (1991)
X.-G. He, B.H.J. McKellar, Phys. Lett. B 264, 129 (1991)
S. Oh, C.-M. Ryu, Phys. Rev. B 51, 13441 (1995)
H. Mathur, A.D. Stone, Phys. Rev. B 44, 10957 (1991)
H. Mathur, A.D. Stone, Phys. Rev. Lett. 68, 2964 (1992)
A.V. Balatsky, B.L. Altshuler, Phys. Rev. Lett. 70, 1678 (1993)
K. Bakke, C. Furtado, Mod. Phys. Lett. A 26, 1331 (2011)
K. Bakke, C. Furtado, J. Math. Phys. 53, 023514 (2012)
K. Bakke, C. Furtado, Eur. Phys. J. B 86, 315 (2013)
E. Passos, L.R. Ribeiro, C. Furtado, J.R. Nascimento, Phys. Rev. A 76, 012113 (2007)
B. Mirza, M. Zarei, Eur. Phys. J. C 32, 583 (2004)
H. Belich et al., Eur. Phys. J. C 41, 421 (2005)
F.M. Andrade, E.O. Silva, T. Prudêncio, C. Filgueiras, J. Phys. G: Nucl. Part. Phys. 40, 075007 (2013)
E.O. Silva, F.M. Andrade, EPL 101, 51005 (2013)
R. Casana, M.M. Ferreira Jr., E.O. Silva, E. Passos, F.E.P. dos Santos, Phys. Rev. D 87, 047701 (2013)
L.R. Ribeiro, E. Passos, C. Furtado, J.R. Nascimento, Int. J. Mod. Phys. A 30, 1550072 (2015)
E.O. Silva, F.M. Andrade, H. Belich, C. Filgueiras, Eur. Phys. J. C 73, 2402 (2013)
M. Ericsson, E. Sjöqvist, Phys. Lett. A 303, 7 (2002)
R. Ionicioiu, Phys. Rev. A 68, 034305 (2003)
E.R. Bezerra de Mello, J. High Energy Phys. 06, 016 (2004)
S. Bruce, J. Phys. A: Math. Gen. 38, 6999 (2005)
X.-G. He, B.H.J. McKellar, Phys. Lett. B 256, 250 (1991)
K. Sangster et al., Phys. Rev. A 51, 1776 (1995)
M. Ericsson, E. Sjöqvist, Phys. Rev. A 65, 013607 (2001)
L.R. Ribeiro, E. Passos, C. Furtado, J.R. Nascimento, Eur. Phys. J. C 56, 597 (2008)
C.L. Chrichfield, J. Math. Phys. 17, 261 (1976)
E.R. Figueiredo Medeiros, E.R. Bezerra de Mello, Eur. Phys. J. C 72, 2051 (2012)
A. Kratzer, Z. Phys. 3, 289 (1920)
M.R. Setare, E. Karimi, Phys. Scr. 75, 90 (2007)
G.de A. Marques, V.B. Bezerra, Class. Quantum Grav. 19, 985 (2002)
S.M. Ikhdair, B.J. Falaye, M. Hamzavi, Ann. Phys. (N.Y.) 353, 282 (2015)
A.D. Alhaidari, Phys. Rev. A 66, 042116 (2002)
A.D. Alhaidari, Phys. Lett. A 322, 72 (2004)
J. Yu, S.-H. Dong, Phys. Lett. A 325, 194 (2004)
S. Mil'shtein, J. Phys. Coll. 40, C6 207 (1979)
M. Kittler et al., Small 3, 964 (2007)
M. Reich et al., Jpn. J. Appl. Phys. 49, 04DJ02 (2010)
Y. Ran, Y. Zhang, A. Vishwanath, Nature Phys. 5, 298 (2009)
K. Bakke, F. Moraes, Phys. Lett. A 376, 2838 (2012)
H.T.T. Nguyen, P.A. Meleshenkoa, A.V. Dolgikh, A.F. Klinskikh, Eur. Phys. J. D 62, 361 (2011)
P.A. Meleshenko, H.T.T. Nguyen, A.F. Klinskikh, Eur. Phys. J. D 67, 209 (2013)
V.R. Khalilov, Phys. Rev. A 71, 012105 (2005)
K. Bakke et al., Phys. Rev. D 79, 024008 (2009)
P. Schluter, K.H. Wietschorke, W. Greiner, J. Phys. A 16, 1999 (1983)
N.D. Birrell, P.C.W. Davies, Quantum Fields in Curved Space (Cambridge University Press, Cambridge, UK, 1982)
W. Greiner, Relativistic Quantum Mechanics: Wave Equations, 3rd edition (Springer, Berlin, 2000)
L.L. Foldy, S.A. Wouthuysen, Phys. Rev. D 78, 29 (1950)
M. Abramowitz, I.A. Stegum, Handbook of Mathematical Functions (Dover Publications Inc., New York, 1965)
G.B. Arfken, H.J. Weber, Mathematical Methods for Physicists, sixth edition (Elsevier Academic Press, New York, 2005)
N. Byers, N.C. Yang, Phys. Rev. Lett. 7, 46 (1961)
C. Furtado, A. Rosas, S. Azevedo, EPL 79, 57001 (2007)
L.D. Landau, E.M. Lifshitz, Quantum Mechanics, The Nonrelativistic Theory, 3rd edition (Pergamon, Oxford, 1977)
A. Verćin, Phys. Lett. B 260, 120 (1991)
J. Myrhein, E. Halvorsen, A. Verćin, Phys. Lett. B 278, 171 (1992)
A. Ronveaux, Heun's Differential Equations (Oxford University Press, Oxford, 1995)
K. Bakke, Ann. Phys. (N.Y.) 341, 86 (2014)
C. Furtado, B.G.C. da Cunha, F. Moraes, E.R. Bezerra de Mello, V.B. Bezzerra, Phys. Lett. A 195, 90 (1994)
H. Kleinert, Gauge Fields in Condensed Matter, Vol. 2 (World Scientific, Singapore, 1989)
M.O. Katanaev, I.V. Volovich, Ann. Phys. (N.Y.) 216, 1 (1992)
C.R. Hagen, D.K. Park, Ann. Phys. (N.Y.) 251, 45 (1996)
D.K. Park, J.G. Oh, Phys. Rev. D 50, 7715 (1994)
E.O. Silva, F.M. Andrade, C. Filgueiras, H. Belich, Eur. Phys. J. C 73, 2402 (2013)
F.M. Andradea, E.O. Silva, M. Pereira, Ann. Phys. (N.Y.) 339, 510 (2013)