Quasibound states in two- and three-dimensional open quantum systems

Journal Article · Mon Feb 15 00:00:00 EST 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.022707· OSTI ID:21408233

Barr, Alex M; Reichl, L E ^[1]

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1. Center for Complex Quantum Systems and Department of Physics, University of Texas at Austin, Austin, Texas 78712 (United States)

We derive expressions for the scattering matrix and the Wigner-Smith delay time, applicable to open systems in two and three spatial dimensions, in terms of a non-Hermitian effective Hamiltonian whose complex eigenvalues give the quasibound state energies of the system. These results are illustrated on an exactly solvable two-dimensional scattering problem and are found to be in excellent agreement with the exact solution.

• OSTI ID: 21408233
• Journal Information: Physical Review. A, Vol. 81, Issue 2; Other Information: DOI: 10.1103/PhysRevA.81.022707; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
EIGENVALUES
EXACT SOLUTIONS
HAMILTONIANS
QUASIBOUND STATE
SCATTERING
THREE-DIMENSIONAL CALCULATIONS
TIME DELAY
TWO-DIMENSIONAL CALCULATIONS
MATHEMATICAL OPERATORS
MATHEMATICAL SOLUTIONS
QUANTUM OPERATORS