Spin in Schrödinger-quantized pseudoclassical systems

DOI10.1063/5.0058176zbMath1480.81054arXiv2105.12187OpenAlexW3203881009MaRDI QIDQ5163813

Theodore Jun. Allen

Publication date: 8 November 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.12187

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Spinor and twistor methods applied to problems in quantum theory (81R25) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Clifford algebras, spinors (15A66) Constrained dynamics, Dirac's theory of constraints (70H45) Canonical quantization (81S08)

Cites Work

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• Particle spin dynamics as the Grassmann variant of classical mechanics
• Spinor and vector representations in four-dimensional Grassmann space
• Quantization of pseudoclassical systems in the Schrödinger realization
• Poincaré algebra in ordinary and Grassmann space and supersymmetry

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