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Chirp-type solutions to Schrödinger Equations

Roberta Goglino

Chirp-type solutions to Schrödinger Equations.

Rel. Fabio Nicola, Luigi Giacomo Rodino. Politecnico di Torino, Corso di laurea magistrale in Ingegneria Matematica, 2019

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Abstract:

In this thesis, we focus on the search of solutions to the Schrödinger Equation that are, for any fixed time, the so-called "chirp" functions. Namely, we look for explict solutions, which take the form of superposition of "chirps", to both the homogeneous and the non-homogeneus Cauchy Problem for the Free Particle Schrödinger Equation and the Quantum Harmonic Oscillator Schrödinger Equation, as well. We point out that the proofs of our results, just based on classical differential calculus, perfecty match with the latest ones on the propagation of the Gabor wave front set for the Schrödinger Equation, founded on Pseudo-differential Theory.

Relators: Fabio Nicola, Luigi Giacomo Rodino
Academic year: 2018/19
Publication type: Electronic
Number of Pages: 67
Subjects:
Corso di laurea: Corso di laurea magistrale in Ingegneria Matematica
Classe di laurea: New organization > Master science > LM-44 - MATHEMATICAL MODELLING FOR ENGINEERING
Aziende collaboratrici: UNSPECIFIED
URI: http://webthesis.biblio.polito.it/id/eprint/10373
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