The phase-space approach to time evolution of quantum states in confined systems: The spectral split-operator method

• Autorzy: Kołaczek Damian , Spisak Bartłomiej J. , Wołoszyn Maciej

Identyfikatory

DOI

10.2478/amcs-2019-0032

• Języki publikacji: EN

Abstrakty

EN

Using the phase space approach, we consider the quantum dynamics of a wave packet in an isolated confined system with three different potential energy profiles. We solve the Moyal equation of motion for the Wigner function with the highly efficient spectral split-operator method. The main aim of this study is to compare the accuracy of the employed algorithm through analysis of the total energy expectation value, in terms of deviation from its exact value. This comparison is performed for the second and fourth order factorizations of the time evolution operator.

Słowa kluczowe

EN

Wigner distribution function; Moyal dynamics; spectral split operator method

PL

funkcja dystrybucji Wignera; dynamika Moyal; metoda podziału operatora

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2019
• Tom: Vol. 29, no. 3
• Strony: 439--451
• Opis fizyczny: Bibliogr. 43 poz., wykr.

Twórcy

autor

Kołaczek Damian

• Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Cracow, Poland

autor

Spisak Bartłomiej J.

• Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Cracow, Poland

autor

Wołoszyn Maciej

• Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Cracow, Poland

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).