Eigenstates and scattering solutions for billiard problems: a boundary wall approach
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Publication:935098
DOI10.1016/j.aop.2008.01.008zbMath1149.81009OpenAlexW1992490362MaRDI QIDQ935098
E. Vicentini, M. G. E. da Luz, F. M. Zanetti
Publication date: 31 July 2008
Published in: Annals of Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aop.2008.01.008
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) (S)-matrix theory, etc. in quantum theory (81U20)
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The flexibility in choosing distinct Green’s functions for the boundary wall method: waveguides and billiards ⋮ Quantum scattering by a Viviani's curve ⋮ Conservative generalized bifurcation diagrams and phase space properties for oval-like billiards ⋮ Switching of transmission resonances in a two-channels coupler: a boundary wall method scattering study ⋮ Quantum refractive index for two- and three-dimensional systems ⋮ Exact solution to Lippmann-Schwinger equation for a circular billiard ⋮ Exact solutions for the Lippmann–Schwinger equation in two dimensions and invisibility conditions
Cites Work
- Unnamed Item
- Unnamed Item
- Convergence of numerical solution of the Fredholm integral equation of the first kind with degenerate kernel
- Representation of the exact solution and a stability analysis on the Fredholm integral equation of the first kind in reproducing kernel space
- Pseudointegrable systems in classical and quantum mechanics
- Quantization of Sinai's billiard -- a scattering approach
- On the propagators for hard-wall potentials oscillating periodically with constant velocity
- Inverse acoustic and electromagnetic scattering theory.
- On the computation of a very large number of eigenvalues for selfadjoint elliptic operators by means of multigrid methods
- Solution of Helmholtz equation in the exterior domain by elementary boundary integral methods
- Spectral duality for planar billiards
- Scattering from a square obstacle
- Statistical properties of highly excited quantum eigenstates of a strongly chaotic system
- Asymptotic rate of quantum ergodicity in chaotic Euclidean billiards
- On the transition to chaotic scattering
- Semiclassical quantization of multidimensional systems
- Semiclassical quantization of chaotic billiards: a scattering theory approach
- Bogomolny section for the stadium: I. Quantum theory
- Finitely-generated solutions of certain integral equations
- Wavefunctions, expectation values and scars on Poincaré sections - a scattering approach
- A generalized semiclassical expression for the eigenvalues of multiple well potentials
- Consolidating boundary methods for finding the eigenstates of billiards
- Can billiard eigenstates be approximated by superpositions of plane waves?
- Semiclassical Quantization Using Diffractive Orbits
- A scattering approach to the quantization of billiards— The inside–outside duality
- Curved boundary corrections to nodal line statistics in chaotic billiards
- Exact Bogomolny sections for separable systems
- Evanescent and real waves in quantum billiards and Gaussian beams
- A scattering approach to the quantization of Hamiltonians in two dimensions-application to the wedge billiard
- Quantum Chaos
- Nodal-line densities of chaotic quantum billiard modes satisfying mixed boundary conditions
- Dynamical systems with elastic reflections
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