publication . Part of book or chapter of book . Preprint . 2012

Time-dependent quantum mechanics

Victor Galitski; Boris Karnakov; Vladimir Kogan; Victor Galitski, Jr.;
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  • Published: 25 Oct 2012
  • Publisher: Oxford University Press
Abstract
We present a systematic method for dealing with time dependent quantum dynamics, based on the quantum brachistochrone and matrix mechanics. We derive the explicit time dependence of the Hamiltonian operator for a number of constrained finite systems from this formalism. Once this has been achieved we go on to calculate the wavevector as a function of time, in order to demonstrate the use of matrix methods with respect to several concrete examples. Interesting results are derived for elliptic curves and periodic orbits on higher dimensional non-commutative geometries.
Subjects
free text keywords: Physics, Quantum nanoscience, medicine.medical_specialty, medicine, Quantum probability, Quantum dynamics, Open quantum system, Quantum statistical mechanics, Quantum dissipation, Quantum mechanics, Quantum technology, Quantum simulator, Quantum Physics

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publication . Part of book or chapter of book . Preprint . 2012

Time-dependent quantum mechanics

Victor Galitski; Boris Karnakov; Vladimir Kogan; Victor Galitski, Jr.;