p-mechanics as a physical theory: an introduction

DOI10.1088/0305-4470/37/1/013zbMath1045.81032arXivquant-ph/0212101OpenAlexW3102607416MaRDI QIDQ4470679

G.V.P.Khmelevskaya

Publication date: 15 June 2004

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0212101

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Geometry and quantization, symplectic methods (81S10) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (10)

Solving the Schrödinger equation by reduction to a first-order differential operator through a coherent states transform ⋮ Nonlinear canonical transformations in classical and quantum mechanics ⋮ Uncertainty and Analyticity ⋮ Tuning co- and contra-variant transforms: the Heisenberg group illustration ⋮ Metamorphism as a covariant transform for the SSR group ⋮ Cross-Toeplitz operators on the Fock-Segal-Bargmann spaces and two-sided convolutions on the Heisenberg group ⋮ Hypercomplex representations of the Heisenberg group and mechanics ⋮ Geometric dynamics of a harmonic oscillator, arbitrary minimal uncertainty states and the smallest step 3 nilpotent Lie group ⋮ Hamilton-Jacobi wave theory in manifestly-covariant classical and quantum gravity ⋮ \(p\)-mechanics and field theory

This page was built for publication: p-mechanics as a physical theory: an introduction