Characterization of canonical Bose–Fermi systems by ‘‘anti-Hermitian’’ symplectic forms

DOI10.1063/1.525919zbMath0524.58012OpenAlexW2073765937MaRDI QIDQ3036332

Hideo Nakajima

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1063/1.525919

zbMATH Keywords

Poisson bracketsgraded manifoldscanonical Bose-Fermi systemsHermitian conjugation in quantum mechanics

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Cites Work

• Singular Lagrangian and the Dirac-Faddeev Method: Existence Theorem of Constraints in 'Standard Form'
• Coherent States of Fermi Operators and the Path Integral
• Hamiltonian Formalism for Systems Including Grassmann Numbers and Canonical Quantization by Feynman Path-Integral with Constraints

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