Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Wave mechanics and inertial guidance
AU - Benn, Ian
AU - Tucker, Robin
PY - 1989/3/15
Y1 - 1989/3/15
N2 - The adiabatic classical dynamics of certain constrained nonautonomous systems is discussed in terms of the transport of vectors on a surface in parameter space. The classical analogue of Berry’s phase is related to the integrated geodesic curvature of a curve on such a surface and the motion of the system analyzed in terms of the relative rotation rates of different vector fields. The classical dependence of the motion on the topology of the parameter space motivates a particular quantum description of a particle confined to a closed space tube.
AB - The adiabatic classical dynamics of certain constrained nonautonomous systems is discussed in terms of the transport of vectors on a surface in parameter space. The classical analogue of Berry’s phase is related to the integrated geodesic curvature of a curve on such a surface and the motion of the system analyzed in terms of the relative rotation rates of different vector fields. The classical dependence of the motion on the topology of the parameter space motivates a particular quantum description of a particle confined to a closed space tube.
U2 - 10.1103/PhysRevD.39.1594
DO - 10.1103/PhysRevD.39.1594
M3 - Journal article
VL - 39
SP - 1594
EP - 1601
JO - Physical Review D
JF - Physical Review D
SN - 1550-7998
IS - 6
ER -