Background independent quantum mechanics, classical geometric forms and geometric quantum mechanics-I
DOI10.1007/S10773-008-9828-5zbMath1162.81361OpenAlexW1925408093MaRDI QIDQ1013789
Publication date: 21 April 2009
Published in: International Journal of Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10773-008-9828-5
projectionsmanifoldinvariancesymmetriesconnectionsfiber bundlequantum state spacepseudo-Riemannian manifoldprojective Hilbert spacelocal gauge transformations
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Gravitational interaction in quantum theory (81V17) Geometry and quantization, symplectic methods (81S10) General mathematical topics and methods in quantum theory (81Q99) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)
Cites Work
- A general theory of quantum relativity
- Quantum kinematic approach to the geometric phase. I: General formalism
- Nambu quantum mechanics: a nonlinear generalization of geometric quantum mechanics
- Background independent quantum mechanics, metric of quantum states, and gravity: A comprehensive perspective
- Geometry of quantum evolution
- Note on Wigner's Theorem on Symmetry Operations
This page was built for publication: Background independent quantum mechanics, classical geometric forms and geometric quantum mechanics-I
