Boundary dynamics and topology change in quantum mechanics

DOI10.1142/S0219887815600117zbMath1332.35315arXiv1501.02826MaRDI QIDQ3465827

María Barbero-Liñán, Juan Manuel Pérez-Pardo, Alberto Ibort

Publication date: 22 January 2016

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.02826

zbMATH Keywords

topology changeboundary dynamicsdomain-dependent Schrödinger equationquantum Faraday law

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Boundary value problems on manifolds (58J32) Infinite-dimensional dissipative dynamical systems (37L99) Time-dependent Schrödinger equations and Dirac equations (35Q41) Quantum control (81Q93)

Related Items (7)

Quantum magnetic billiards: boundary conditions and gauge transformations ⋮ A geometrical approach to nontrivial topology via exotic spinors ⋮ Quantum controllability on graph-like manifolds through magnetic potentials and boundary conditions ⋮ On Global Approximate Controllability of a Quantum Particle in a Box by Moving Walls ⋮ Finite element method to solve the spectral problem for arbitrary self-adjoint extensions of the Laplace-Beltrami operator on manifolds with a boundary ⋮ Field fluctuations and Casimir energy of 1D-fermions ⋮ Boundary conditions for the quantum Hall effect

Cites Work

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• Extensions of symmetric operators and symmetric binary relations
• Topology change and quantum physics
• Numerical Solutions of the Spectral Problem for Arbitrary Self-Adjoint Extensions of the One-Dimensional Schrödinger Equation
• Boundary dynamics driven entanglement
• EXISTENCE OF SPECTRAL GAPS, COVERING MANIFOLDS AND RESIDUALLY FINITE GROUPS
• GLOBAL THEORY OF QUANTUM BOUNDARY CONDITIONS AND TOPOLOGY CHANGE

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