The Chiral Oscillator and its Applications in Quantum Theory

Abstract

The fundamental importance of the chiral oscillator is elaborated. Its quantum invariants are computed. As an application the Zeeman effect is analysed. We also show that the chiral oscillator is the most basic example of a duality invariant model, simulating the effect of the familiar electric-magnetic duality.

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References in corpus (2)

• Bose Symmetry and Chiral Decomposition of 2D Fermionic Determinants
• Duality Symmetry and Soldering in Different Dimensions

Cited by in corpus (14)

• Chirality Quantum Phase Transition in the Dirac oscillator
• Noncommutativity from the symplectic point of view
• A Canonical Approach to the Quantization of the Damped Harmonic Oscillator
• Probing phase-space noncommutativity through quantum beating, missing information and the thermodynamic limit
• Self-duality and soldering in odd dimensions
• Newton-Hooke type symmetry of anisotropic oscillators
• Noncommutative Space Corrections on the Klein-Gordon and Dirac Oscillators Spectra
• Thermodynamics of Quantum Phase Transitions of a Dirac oscillator in a homogenous magnetic field
• Canonical transformations and soldering
• Noncommutative Mapping from the symplectic formalism
• Generalizing the Soldering procedure
• Noncommutativity from Embedding Techniques
• Noncommutativity and Duality through the Symplectic Embedding Formalism
• Theories on noncommutative spaces and deformed symmetries