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DY: Fachverband Dynamik und Statistische Physik

DY 42: Focus: Many-Body Quantum Chaos

DY 42.7: Vortrag

Donnerstag, 4. April 2019, 11:45–12:00, H20

Hamiltonian Matrix Elements of the Stadium Billiard — •Jaewon Kim^1,2, 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.