Thesis (Selection of subject)Thesis (Selection of subject)(version: 356)
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1D model of laser-assisted potential scattering
Thesis title in Czech: 1D model rozptylu elektronu na potenciálu a v přítomnosti laserového pole.
Thesis title in English: 1D model of laser-assisted potential scattering
Key words: elektronový rozptyl|rezonance|přechod indukovaný laserem|časově závislá Schroedingerova rovnice
English key words: electron scattering|scattering resonance|laser-induced transitions|time-dependent Schroedinger equation
Academic year of topic announcement: 2019/2020
Type of assignment: Bachelor's thesis
Thesis language: angličtina
Department: Institute of Theoretical Physics (32-UTF)
Supervisor: Mgr. Zdeněk Mašín, Ph.D.
Author: hidden - assigned and confirmed by the Study Dept.
Date of registration: 16.10.2019
Date of assignment: 03.12.2019
Confirmed by Study dept. on: 17.12.2019
Date and time of defence: 03.02.2022 09:00
Date of electronic submission:06.01.2022
Date of submission of printed version:06.01.2022
Date of proceeded defence: 03.02.2022
Reviewers: doc. RNDr. Přemysl Kolorenč, Ph.D.
Formulate 1D theory of laser-assisted electron scattering. Familiarization with basic scattering theory and photoionization. Implementation of numerical methods for propagation of wave function in a time-dependent potential representing the laser field. This work is especially suitable for students with prior experience with programming.
F. Grossmann, Theoretical Femtosecond Physics: Atoms and Molecules in Strong Laser Fields.
R. Kanya, Y. Morimoto, and K. Yamanouchi, in Progress in Ultrafast Intense Laser Science: Volume X, edited by K. Yamanouchi, G.G. Paulus, and D. Mathur (Springer International Publishing, Cham, 2014), pp. 1–16.
Faisal, Farhad H. M. Theory of multiphoton processes, Chapter 12.
Preliminary scope of work in English
Resonances are quasi-bound states of quantum systems (e.g. electron+atom) which are known to enhance or suppress scattering and other transitions in the system. How does the resonant scattering change in the presence of a laser field which allows for absorption of one or more photons? The goal of this work is to understand on simple 1D models the properties of laser-assisted electron scattering on potentials supporting resonances. The student will implement and test a program for numerical solution of the time-dependent Schroedinger equation and compare the transmission probabilities with/without the presence of the field and therefore characterize the effect the laser field has on the resonant scattering. In the future this work permits generalization to 2D models of laser-assisted electron molecule scattering including the nuclear motion.
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