RT info:eu-repo/semantics/bachelorThesis
T1 Modelos semiclásicos en la representación de estados coherentes
A1 García Martín, Imobach
AB We present a study of semiclassical approximations to quantum magnitudes in theBargmann representation. Firstly, a description of the WKB model in the coordinaterepresentation is given, including a quantitative validity condition for the approximation.Subsequently, we define the coherent states and their main properties, as well asthe Bargmann states (non-normalized coherent states), which allows us to developthe semiclassical approximations in the new representation. Both stationary andtime-dependent Schr¨odinger equations are solved, stablishing a comparison with theresults for the wavefunction coming from the coordinate representation formalism. Theenergy spectrum is also studied.As we will prove, the intrinsic complex structure of Bargmann representation leads usto an extension to the complex plane, where the concept of analyticity plays a fundamentalrole. Finally, we illustrate some advantages of the formalism we have introduced throughits application to a particular stationary system (the harmonic oscillator), achieving anintegral expression for the Hermite polynomials.
YR 2019
FD 2019
LK http://riull.ull.es/xmlui/handle/915/15725
UL http://riull.ull.es/xmlui/handle/915/15725
LA es
DS Repositorio institucional de la Universidad de La Laguna
RD 18-nov-2024