Autor:	Morrison, Peter G.
Rok vydání:	2012
Předmět:	Quantum Physics
Druh dokumentu:	Working Paper
Popis:	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. Comment: 34 pages, 581 equations
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1210.6977 Zobrazit plný text záznamu View this record from Arxiv