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math-ph2017★ 1 cited
The uncertainty principle and the energy identity for holomorphic maps in geometric quantum mechanics
Barbara A. Sanborn
The theory of geometric quantum mechanics describes a quantum system as a Hamiltonian dynamical system with a complex projective Hilbert space as its phase space, thus equipped wit…
math-ph2011★ 7 cited
Dynamical Invariants and Berry's Phase for Generalized Driven Harmonic Oscillators
Barbara Sanborn, Sergei K. Suslov, Luc Vinet
We present quadratic dynamical invariant and evaluate Berry's phase for the time-dependent Schroedinger equation with the most general variable quadratic Hamiltonian.