6533b7defe1ef96bd1276574

RESEARCH PRODUCT

Iterative approach to the exponential representation of the time–displacement operator

J A OteoJosé Luis Regidor Ros

subject

LogarithmIterative methodOperator (physics)Mathematical analysisGeneral Physics and AstronomyStatistical and Nonlinear PhysicsGeneral MedicineExponential functionMagnus expansionA priori and a posterioriShapingRepresentation (mathematics)Mathematical PhysicsMathematics

description

An iterative method due to Voslamber is reconsidered. It provides successive approximations for the logarithm of the time–displacement operator in quantum mechanics. The procedure may be interpreted, a posteriori, as an infinite re-summation of terms in the so-called Magnus expansion. A recursive generator for higher terms is obtained. From two illustrative examples, a detailed comparative study is carried out between the results of the iterative method and those of the Magnus expansion.

yearjournalcountryeditionlanguage
2005-04-25Journal of Physics A: Mathematical and General
https://doi.org/10.1088/0305-4470/38/19/011