General boundary conditions for a Dirac particle in a box and their non-relativistic limits

DOI10.1088/0305-4470/30/24/018zbMath0927.34074OpenAlexW2002638477MaRDI QIDQ4255685

Vidal Alonso, Salvatore De Vincenzo

Publication date: 19 August 1999

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/4739df436dd2c84dccfdb94b33fc3bb85ba30c9d

zbMATH Keywords

energy eigenvaluesDirac particleWeyl representation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

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Quaternionic particle in a relativistic box ⋮ Relativistic quantum chaos ⋮ Interior-boundary conditions for many-body Dirac operators and codimension-1 boundaries ⋮ The physical interpretation of point interactions in one-dimensional relativistic quantum mechanics ⋮ Classical and quantum dynamics of a kicked relativistic particle in a box ⋮ Relativistic Fermi-gas model for nucleus ⋮ From a particle in a box to the uncertainty relation in a quantum dot and to reflecting walls for relativistic fermions ⋮ Fate of accidental symmetries of the relativistic hydrogen atom in a spherical cavity ⋮ Exact solutions to the Dirac equation for equilateral triangular billiard systems ⋮ Zero modes of quantum graph Laplacians and an index theorem ⋮ SUSY QM with a complex partner potential in a one-dimensional box ⋮ Quantum particle on dual root lattice in Weyl alcove

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