Work

Non-Markovian quantum mechanics on comb

Year: 2024

Type: article

Abstract: Quantum dynamics of a particle on a two-dimensional comb structure is considered. This dynamics of a Hamiltonian system with a topologically constrained geometry leads to the non-Markovian behavior. In the framework of a rigorous analytical consideration, it is shown how a fractional time derivative appears for the relevant description of this non-Markovian quantum mechanics in the framework of fractional time Schrödinger equations. Analytical solutions for the Green functions are obtained for both conservative and periodically driven in time Hamiltonian systems.

Source: Chaos An Interdisciplinary Journal of Nonlinear Science

DOI: 10.1063/5.0226335

Author: Alexander Iomin

Institutions: Technion – Israel Institute of Technology, Max Planck Institute for the Physics of Complex Systems

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4402733050

FWCI: 4.478

Cites: 55

Cited by: 13

Related to: 10