HERMITIAN VECTOR FIELDS AND SPECIAL PHASE FUNCTIONS

DOI10.1142/S0219887806001351zbMath1095.53046arXivmath-ph/0507070OpenAlexW2070938675MaRDI QIDQ5484721

Marco Modugno, Josef Janyška

Publication date: 21 August 2006

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0507070

zbMATH Keywords

quantum bundleHermitian vector fieldsGalilei space-timeLorentz space-timespecial phase functions

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Unified, higher-dimensional and super field theories (83E99) Applications of Lie (super)algebras to physics, etc. (17B81) General relativity (83C99) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Geometry and quantization, symplectic methods (81S10) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Differential forms in global analysis (58A10) Local differential geometry of Hermitian and Kählerian structures (53B35) Fiber bundles in algebraic topology (55R10)

Related Items (6)

Special bracket versus Jacobi bracket on the classical phase space of general relativistic test particle ⋮ On the geometry of the energy operator in quantum mechanics ⋮ Quantum potential in covariant quantum mechanics ⋮ GEOMETRIC STRUCTURES OF THE CLASSICAL GENERAL RELATIVISTIC PHASE SPACE ⋮ Two-spinor tetrad and Lie derivatives of Einstein-Cartan-Dirac fields ⋮ Geometric Aspects of the Quantization of a Rigid Body

Cites Work

• Graded Lie algebra of Hermitian tangent valued forms
• Torsion and Ricci tensor for nonlinear connections
• Symmetries in covariant classical mechanics
• Covariant Schr dinger operator
• Quantization and unitary representations
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