A Galerkin approach to electronic near-degeneracies in molecular systems

DOI10.1016/S0167-2789(02)00449-9zbMath0998.81026OpenAlexW2117575131MaRDI QIDQ1605542

Mason A. Porter, Richard L. Liboff

Publication date: 17 July 2002

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(02)00449-9

zbMATH Keywords

nonlinear Schrödinger equationssuperposition statestime-dependent boundary conditionsBloch transformationsemiquantallyvibrating quantum billiards

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Quantum chaos (81Q50) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Molecular physics (81V55)

Cites Work

• The radially vibrating spherical quantum billiard
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Chaos in classical and quantum mechanics
• Regular and chaotic dynamics.
• Infinite-dimensional dynamical systems in mechanics and physics.
• Particle propagation in a random and quasi-periodic potential
• Chaos near resonance
• Quantum chaos: Unexpected complexity
• Quantum chaos for the radially vibrating spherical billiard
• Chaos in Atomic Physics
• BIFURCATIONS IN ONE DEGREE-OF-VIBRATION QUANTUM BILLIARDS
• VIBRATING QUANTUM BILLIARDS ON RIEMANNIAN MANIFOLDS
• QUANTUM CHAOS FOR THE VIBRATING RECTANGULAR BILLIARD
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