Open AccessQuantum Physics in Phase Space: an Analysis of Simple Pendulum
Publication year - 2018
Publication title -
advances in theoretical and computational physics
Language(s) - English
Resource type - Journals
ISSN - 2639-0108
DOI - 10.33140/atcp/01/02/00002
Subject(s) - phase space , symplectic geometry , schrödinger equation , space (punctuation) , simple (philosophy) , classical mechanics , mathematics , physics , quantum mechanics , phase (matter) , method of quantum characteristics , pendulum , quantum , mathematical physics , mathematical analysis , quantum dynamics , quantum operation , computer science , philosophy , epistemology , operating system
In this work we present a brief review about quantum mechanics in phase space. The approach discussed is based in the notion of symplectic structure and star-operators. In this sense, unitary representations for the Galilei group are construct, and the Schrodinger equation in phase space is derived. The connection between phase space amplitudes and Wigner function is presented. As a new result we solved the Schrodinger equation in phase space for simple pendulum. PACS Numbers: 11.10.Nx, 11.30.Cp, 05.20.Dd