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A gauge theory for a quantum system with isospin

E B Lin

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A quantum system with external symmetry is made into a principal fibre bundle with a nonAbelian Lie group as the structure group, and is equipped with a connection. A gauge theory for a nonrigid molecule on the basis of the observation that the vector bundle associated with the principal fibre bundle provides a setting for quantum mechanics of the internal molecular motion.


PACS

11.15.-q Gauge field theories

03.65.Vf Phases: geometric; dynamic or topological

MSC

81Q70 Differential-geometric methods, including holonomy, Berry and Hannay phases, etc.

81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)

Subjects

Quantum information and quantum mechanics

Particle physics and field theory

Dates

Issue 17 (7 September 1991)



  1. A gauge theory for a quantum system with isospin

    E B Lin 1991 J. Phys. A: Math. Gen. 24 L1045

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  4. Quantum field theory on fractal spacetime: a new regularisation method

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  5. Logarithmic corrections to finite-size scaling in strips

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  6. Scaling of the active zone in the Eden process on percolation networks and the ballistic deposition model

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  7. Differential equations, Frobenius theorem and local flows on supermanifolds

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  8. Creation and annihilation operators for SU(3) in an SO(6,2) model

    A J Bracken and J H MacGibbon 1984 J. Phys. A: Math. Gen. 17 2581

  9. Notes on 'particle detectors'

    P G Grove and A C Ottewill 1983 J. Phys. A: Math. Gen. 16 3905

  10. Hard hexagons: exact solution

    R J Baxter 1980 J. Phys. A: Math. Gen. 13 L61

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