Least uncertainty principle in deformation quantization

DOI10.1063/1.2456311zbMath1121.53063arXivmath/0512624OpenAlexW2091004628MaRDI QIDQ3442192

Murray Gerstenhaber

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/math/0512624

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55)

Related Items (1)

Path algebras, wave-particle duality, and quantization of phase space

Cites Work

• Star-product approach to quantum field theory: The free scalar field
• Deformation theory and quantization. II: Physical applications
• An example of cancellation of infinities in the star-quantization of fields
• On the twisted convolution product and the Weyl transformation of tempered distributions
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• On the deformation of rings and algebras
• Deformation quantization in the teaching of quantum mechanics
• Calculus for Functions of Noncommuting Operators and General Phase-Space Methods in Quantum Mechanics. III. A Generalized Wick Theorem and Multitime Mapping
• DEFORMATION QUANTIZATION: QUANTUM MECHANICS LIVES AND WORKS IN PHASE-SPACE
• Star exponentials for any ordering of the elements of the inhomogeneous symplectic Lie algebra
• Quantum groups and deformation quantization: Explicit approaches and implicit aspects
• THE SPECIAL CANONICAL GROUP
• On the Contraction of Groups and Their Representations
• On the principles of elementary quantum mechanics
• Oscillatory integral formulae for left-invariant star products on a class of Lie groups
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