Algebraic Dynamics Investigation for a Trigonal Heterotrinuclear Spin Cluster in a Rotating Magnetic Field

2007 ◽  
Vol 50 (2) ◽  
pp. 433
Author(s):  
Chen Chen ◽  
Xue Xue
Keyword(s):  
Magnetic Field ◽  
Rotating Magnetic Field ◽  
Algebraic Dynamics ◽  
Spin Cluster

Homotrinuclear Spin Cluster with Orbital Degeneracy in a Magnetic Field: Algebraic Dynamic Studies of the Geometric Phase January 25, 2008

2008 ◽  
Vol 63 (7-8) ◽  
pp. 405-411
Author(s):  
Ji-Wen Cheng ◽  
Qin-Sheng Zhu ◽  
Xiao-Yu Kuang ◽  
Shi-Xun Zhang ◽  
Cai-Xia Zhang
Keyword(s):  
Magnetic Field ◽  
Geometric Phase ◽  
Berry Phase ◽  
Energy Levels ◽  
Rotating Magnetic Field ◽  
Algebraic Dynamics ◽  
Orbital Degeneracy ◽  
Spin Cluster ◽  
Dynamic Studies ◽  
Adiabatic Energy

Based on the homotrinuclear spin cluster having SU(2)⊗SU(2) symmetry with twofold orbital degeneracy τ = 1/2) and the SU(2) algebraic structures of both ŝ and τˆ subspaces in the external magnetic field, we calculate exactly the non-adiabatic energy levels and the cyclic and non-cyclic non-adiabatic geometric phase of the homotrinuclear spin cluster by making use of the method of algebraic dynamics. The solution will show that the Berry phase is much influenced by the parameters N =γs/γτ (γs and γτ are the magnetic momentums of ŝ and τ̂ subspaces, respectively) in addition to ω/Ω in a rotating magnetic field. The change of the Berry phase in the basis state of the system is demonstrated from the changing diagram.

Algebraic dynamic study of geometric phase for a homonuclear linear spincluster

2007 ◽  
Vol 85 (8) ◽  
pp. 879-885
Author(s):  
X -X Chen ◽  
J Xue
Keyword(s):  
Magnetic Field ◽  
Coupling Strength ◽  
Geometric Phase ◽  
Time Dependent ◽  
Algebraic Dynamics ◽  
Spin Cluster ◽  
Alternative Expression ◽  
Linear Formula ◽  
External Time ◽  
The Magnetic Field

A homonuclear linear [Formula: see text] coupling spin cluster with the middle particle driven by an external time-dependent magnetic field is investigated by using the method of algebraic dynamics. The exact analytical solutions of the time-dependent Schrodinger equation of the spin cluster system are derived and employed to study the geometric phase. An alternative expression of the geometric phase in each eigenstate is obtained. It is shown that the geometric phase is related to the external magnetic-field parameter θ (the angle between the magnetic field and the Z axis) and the effective coupling strength Jn. Based on the relation, how the geometric phase depends on the coupling strength Jn in different reducible subspace is discussed.PACS Nos.: 33.20.Wr, 03.65.Fd, 03.65.Vf

THE LINEAR NON-IRON INDUCTOR WITH ROTATING MAGNETIC FIELD

2018 ◽  
Vol 2018 (49) ◽  
pp. 39-50
Author(s):  
О. Karlov ◽  
◽  
I. Kondratenko ◽  
R. Kryshchuk ◽  
A. Rashchepkin ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Rotating Magnetic Field
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