Formal exact solution for the Heisenberg spin system in a time-dependent magnetic field and Aharonov-Anandan phase

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 251, Issue 5, 1999, Pages 289-293

  Yan, Fengli ^a   Yang, Linguang ^a   Li, Bozang ^b  

^a HEBEI NORMAL UNIVERSITY   (China)

^b INSTITUTE OF PHYSICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

MAGNETIC FIELDS;

DINGER EQUATION; EXACT SOLUTION; HEISENBERG SPIN SYSTEMS; TIME EVOLUTIONS; TIME-DEPENDENT MAGNETIC FIELD; UNITARY TRANSFORMATIONS;

SPIN DYNAMICS;

EID: 0041780170     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(98)00832-9     Document Type: Article

References (13)

1. M.V. Berry, Proc. Roy. Soc. London A 392 (1984) 45.
2. B. Simon, Phys. Rev. Lett. 51 (1983) 2167.
3. Y. Aharonov, J. Anandan, Phys. Rev. Lett. 58 (1987) 1593.
4. A. Shapere, F. Wilczek, Geometric Phase in Physics (World Scientific, Singapore, 1989).
5. C.A. Mead, Rev. Mod. Phys. 64 (1992) 51.
6. H.R. Lewis Jr., W.B. Riesenfeld, J. Math. Phys. 10 (1969) 1458.
7. A.G. Wagh, V.C. Rakhecha, Pramana J. Phys. 41 (1993) L479.
8. X.C. Gao, J.B. Xu, T.Z. Qian, Phys. Lett. A 152 (1991) 449.
9. B.Z. Li, F.L. Yan, J.H. Wu, J.Q. Liang, Science in China A 39 (1996) 963.
10. F.L. Yan, B.Z. Li, J.Q. Liang, Nuovo Cim. B 112 (1997) 1519.
11. B.Z. Li, L.Y. Zhang, X.D. Zhang, Acta Phys. Sin. 46 (1997) 2801 (in Chinese).
12. Y.Z. Lai, J.Q. Liang, H.J.W. Müller-Kirsten, J.G. Zhou, Phys. Rev. A 53 (1996) 3691.
13. O. Madelung, Introduction to Solid-State Theory (Springer, Berlin, 1978) Ch. 3.