6533b836fe1ef96bd12a1368
RESEARCH PRODUCT
Unitary transformations depending on a small parameter
Fernando CasasJosé Luis Regidor RosJosé Luis Regidor RosJ A Oteosubject
UnitarityGeneral MathematicsMathematical analysisquantum mechanicsGeneral EngineeringGeneral Physics and AstronomyUnitary transformationMagnus expansionUnitary statesymbols.namesakeMagnus expansionsymbolsHamiltonian (quantum mechanics)unitary transformationMathematical physicsMathematicsperturbation theorydescription
We formulate a unitary perturbation theory for quantum mechanics inspired by the LieDeprit formulation of canonical transformations. The original Hamiltonian is converted into a solvable one by a transformation obtained through a Magnus expansion. This ensures unitarity at every order in a small parameter. A comparison with the standard perturbation theory is provided. We work out the scheme up to order ten with some simple examples.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2011-11-02 |