Claims a modified brachistochrone technique via matrix decomposition solves time optimal control problems for relativistic spinor states and provides new methods for time-ordered exponentials.
Time Dependent Quantum Mechanics
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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.
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quant-ph 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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Time Optimal Quantum Control of Spinor States
Claims a modified brachistochrone technique via matrix decomposition solves time optimal control problems for relativistic spinor states and provides new methods for time-ordered exponentials.