New method for obtaining complex roots in the semiclassical coherent-state propagator formula
Fuente:
Redalyc
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Artículo científico |
| Lenguaje: | en |
| Publicado: |
Sociedade Brasileira de Física
2001
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1876490557148102656 |
|---|---|
| author | Ademir Luix Xavier Jr. |
| author_facet | Ademir Luix Xavier Jr. |
| contents | New method for obtaining complex roots in the semiclassical coherent-state propagator formula Ademir Luix Xavier Jr. Física, Astronomía y Matemáticas A semiclassical formula for the coherent-state propagator requires the determination of specific classical paths inhabiting a complex phase-space and governed by a Hamiltonian flux. Such trajectories are constrained to special boundary conditions which render their determination difficult by common methods. In this paper we present a new method based on Runge-Kutta integrator for a quick, easy and accurate determination of these trajectories. Using nonlinear one dimensional systems we show that the semiclassical formula is highly accurate as compared to its exact counterpart. Further, we clarify how the phase of the semiclassical approximation is correctly retrieved during the time evolution. 2001 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46413502018 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.3 Vol.31 |
| format | Artículo científico |
| id | redalyc_46413502018 |
| institution | Redalyc |
| language | en |
| publishDate | 2001 |
| publisher | Sociedade Brasileira de Física |
| spellingShingle | New method for obtaining complex roots in the semiclassical coherent-state propagator formula Ademir Luix Xavier Jr. Física, Astronomía y Matemáticas New method for obtaining complex roots in the semiclassical coherent-state propagator formula Ademir Luix Xavier Jr. Física, Astronomía y Matemáticas A semiclassical formula for the coherent-state propagator requires the determination of specific classical paths inhabiting a complex phase-space and governed by a Hamiltonian flux. Such trajectories are constrained to special boundary conditions which render their determination difficult by common methods. In this paper we present a new method based on Runge-Kutta integrator for a quick, easy and accurate determination of these trajectories. Using nonlinear one dimensional systems we show that the semiclassical formula is highly accurate as compared to its exact counterpart. Further, we clarify how the phase of the semiclassical approximation is correctly retrieved during the time evolution. 2001 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46413502018 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.3 Vol.31 |
| title | New method for obtaining complex roots in the semiclassical coherent-state propagator formula |
| topic | Física, Astronomía y Matemáticas |
| url | https://www.redalyc.org/articulo.oa?id=46413502018 |