HIGH-ORDER ADIABATIC APPROXIMATIONS FOR EVOLUTION OF DEGENERATE QUANTUM MECHANICAL SYSTEM AND NON-ABELIAN INDUCED GAUGE STRUCTURE

SUN Chang-Pu

Chinese Physics C> 1990, Vol. 14> Issue(7) : 604-613

HIGH-ORDER ADIABATIC APPROXIMATIONS FOR EVOLUTION OF DEGENERATE QUANTUM MECHANICAL SYSTEM AND NON-ABELIAN INDUCED GAUGE STRUCTURE

SUN Chang-Pu ^,

Northeast Normal University,Changchun

Abstract
HTML
Reference
Related

PDF

Abstract：
In this paper high-order adiabatic approximate method is proposed to study the evolution of degenerate quantum systums with slowly-changing parameters and varying symmetry.We ont only prove the quantum adiabatic theorem for degenerate cases and discuss the corresponding non-abelian induced gauge structure,but also point out the non-adiabatic corrections resulting from higher-order approximations.With nuclear quadrupole resonance as an explicit example,we use this method to analyse observable effects of non-abelian Berry's phases in adiabatic and non-adiabatic experimental process.

References

[1]

M. V. Berry, Proc. R. Soc. Lond.; A392(1984), 45.R. Jackiw, Com. Atom. Mole, Phys.; 21(1988), 71, and therein.[2] R. Tycko, Phys. Rev, Lett., 58(1987), 2281.D. J. Richardson et. al. Phys. Pev, Lett., 61(1988),2030.[3] M. V. Betty, Proc. R. Soc. Lond., A414(1987), 47[4] N. Nakagawa, Ann. Phys., 179(1987), 145.[5] C.P. Sun, Chinese Phys. Lett., 6(1989), 97.[6] N. Papanicolaou. J. Phys. France, 49(1988), 1493.[7] C.P. Sun, J. Phys. A21(1988), 1595.[8] 孙昌璞，高能物理与核物理，12(1988)，352.

Access

Get Citation

SUN Chang-Pu. HIGH-ORDER ADIABATIC APPROXIMATIONS FOR EVOLUTION OF DEGENERATE QUANTUM MECHANICAL SYSTEM AND NON-ABELIAN INDUCED GAUGE STRUCTURE[J]. Chinese Physics C, 1990, 14(7): 604-613.

SUN Chang-Pu. HIGH-ORDER ADIABATIC APPROXIMATIONS FOR EVOLUTION OF DEGENERATE QUANTUM MECHANICAL SYSTEM AND NON-ABELIAN INDUCED GAUGE STRUCTURE[J]. Chinese Physics C, 1990, 14(7): 604-613. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(4173)
PDF Downloads(428)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142