Symplectic Topology and Geometric Quantum Mechanics

Symplectic Topology and Geometric Quantum Mechanics

abstract: The theory of geometric quantum mechanics describes a quantum system as a Hamiltonian dynamical system, with a projective Hilbert space regarded as the phase space. This thesis extends the theory by including some aspects of the symplectic topology of the quantum phase space. It is shown t...

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Bibliographic Details
Other Authors: Sanborn, Barbara (Author)
Format: Doctoral Thesis
Language:English
Published: 2011
Subjects:
Mathematics
Quantum physics
Condensed Matter Physics
adiabatic theorem
geometric quantum mechanics
J-holomorphic curves
mean curvature
symplectic topology
uncertainty principle
Online Access:http://hdl.handle.net/2286/R.I.9478

Internet

http://hdl.handle.net/2286/R.I.9478

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