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• W2967651803 abstract "This thesis is concerned with a concept of geometrising time evolution of quantum systems. This concept is inspired by the fact that the Legendre transform expresses dynamics of a classical system through first-order Hamiltonian equations. We consider, in this thesis, coherent state transforms with a similar effect in quantum mechanics: they reduce certain quantum Hamiltonians to first-order partial differential operators. Therefore, the respective dynamics can be explicitly solved through a flow of points in extensions of the phase space. This, in particular, generalises the geometric dynamics of a harmonic oscillator in the Fock-Segal-Bargmann (FSB) space. We describe all Hamiltonians which are geometrised (in the above sense) by Gaussian and Airy beams and exhibit explicit solutions for such systems" @default.
• W2967651803 created "2019-08-22" @default.
• W2967651803 creator A5059904287 @default.
• W2967651803 date "2019-06-01" @default.
• W2967651803 modified "2023-10-17" @default.
• W2967651803 title "Geometrical Dynamics by the Schrödinger Equation and Coherent States Transform" @default.
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• W2967651803 hasPublicationYear "2019" @default.
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