Bonn 2025 – wissenschaftliches Programm
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A: Fachverband Atomphysik
A 21: Poster – Atomic Systems in External Fields
A 21.8: Poster
Mittwoch, 12. März 2025, 17:00–19:00, Tent
Generalized Moyal Product in Time-Dependent Electromagnetic Fields — •Arjit Shankar Banerjee1,2, Andre G. Campos1, and Christoph H. Keitel1 — 1Max Planck Institute for Nuclear Physics, 69117 Heidelberg, Germany — 2Indian Institute of Science Education and Research (IISER) Tirupati, 517507 Tirupati, Andhra Pradesh, India
The Wigner - Weyl Transformation provides a framework to represent Quantum Mechanical Systems in terms of phase space variables x and p. The Moyal formula defines a nontrivial composition rule that relates the operator product in terms of their Weyl symbols. However, in the presence of electromagnetic fields, the canonical momentum becomes gauge-dependent, but the corresponding operators generally are gauge-independent. Thus, we must redefine the gauge-independent Weyl symbols and the composition rules. While previous works focused on time-independent magnetic fields, we have developed a generalized Moyal product valid for time-dependent electromagnetic fields. An application of the generalized Moyal Product is in the case of Open Quantum Systems, where we are calculating the Lindblad operator in the Foldy-Wouthuysen representation.
Keywords: moyal product; wigner weyl transformation; gauge independent; lindblad operator; foldy wouthuysen