Vector Constants of Motion for Time-Dependent Kepler and Isotropic Harmonic Oscillator Potentials

The symmetry of self-duality (Savit 1980 Rev. Mod. Phys. 52 453) of some models of statistical mechanics and quantum field theory is discussed for finite spin blocks of the Ising chain in a transverse magnetic field. The existence of this symmetry in a specific type of these blocks, and not in others, is manifest by the degeneracy of their energy levels. This illustrates the fact that in quantum mechanics, more symmetry in the Hamiltonian induces more degeneracy in the energy spectrum.

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Vector Constants of Motion for Time-Dependent Kepler and Isotropic Harmonic Oscillator Potentials

Cited by 2 publications

References 10 publications

New vistas on the Laplace–Runge–Lenz vector

New vistas on the Laplace–Runge–Lenz vector

Symmetry and degeneracy in quantum mechanics. Self-duality in finite spin systems

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