Abstract
Often one needs to calculate the evolution time of a state under a Hamiltonian with no explicit time dependence when only numerical methods are available. In cases such as this, the usual application of Fermi's golden rule and first-order perturbation theory is inadequate as well as being computationally inconvenient. Instead, what one needs are conditions under which the evolution time may be obtained from the easily calculated energy uncertainty. This work derives some general conditions for obtaining the evolution time from the energy uncertainty.
Citation
Eur. J. Phys. 28 (2007) 673–678
Date of this Version
7-1-2007
Recommended Citation
Boykin, Timothy; Kharche, Neerav; and Klimeck, Gerhard, "Evolution time and energy uncertainty" (2007). Birck and NCN Publications. Paper 222.
https://docs.lib.purdue.edu/nanopub/222