Regensburg 2019 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 42: Focus: Many-Body Quantum Chaos
DY 42.7: Talk
Thursday, April 4, 2019, 11:45–12:00, H20
Hamiltonian Matrix Elements of the Stadium Billiard — •Jaewon Kim1,2, Martina Hentschel1, and Chil-Min Kim2 — 1Institute for Physics, Theoretical Physics II/Computational Physics Group, Technische Universität Ilmenau, Weimarer Straße 25, 98693 Ilmenau, Germany — 2Department of Emerging Materials Science, DGIST,
We study the Hamiltonian matrix elements of the stadium billiard using a method of coordinate transformation. We apply special coordinate transformation which gives a remarkable simple form of the Hamiltonian. The spectrum from the Hamiltonian matrix shows good agreement with the fully numerical result from the BEM. Also, the simple Hamiltonian implies theoretically interesting points. With proper extensions, the Hamiltonian matrix elements calculated from the first principle provide a new way of studying quantum billiard system, especially for chirality and exceptional points.