New Phase Space Formulations and Quantum Dynamics Approaches
- URL: http://arxiv.org/abs/2205.03870v2
- Date: Tue, 17 May 2022 10:41:04 GMT
- Title: New Phase Space Formulations and Quantum Dynamics Approaches
- Authors: Xin He, Baihua Wu, Youhao Shang, Bingqi Li, Xiangsong Cheng, and Jian
Liu
- Abstract summary: We focus on new theory of (weighted) constraint coordinate-momentum phase space for discrete-variable quantum systems.
It is convenient to utilize (weighted) constraint coordinate-momentum phase space for representing the quantum state.
Various numerical tests demonstrate that new trajectory-based quantum dynamics approaches derived from the (weighted) constraint phase space representation are useful.
- Score: 12.733194910021261
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We report recent progress on the phase space formulation of quantum mechanics
with coordinate-momentum variables, focusing more on new theory of (weighted)
constraint coordinate-momentum phase space for discrete-variable quantum
systems. This leads to a general coordinate-momentum phase space formulation of
composite quantum systems, where conventional representations on infinite phase
space are employed for continuous variables. It is convenient to utilize
(weighted) constraint coordinate-momentum phase space for representing the
quantum state and describing nonclassical features. Various numerical tests
demonstrate that new trajectory-based quantum dynamics approaches derived from
the (weighted) constraint phase space representation are useful and practical
for describing dynamical processes of composite quantum systems in gas phase as
well as in condensed phase.
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