On the boundary conditions for the Dirac equation
Vidal Alonso SecadesEscuela de Física y Matemáticas, Facultad de Ciencias, Universidad Central de Venezuela, AP 47399, Caracas 1041-A, VenezuelaSalvatore De VincenzoEscuela de Física y Matemáticas, Facultad de Ciencias, Universidad Central de Venezuela, AP 47399, Caracas 1041-A, VenezuelaLuigi MondinoEscuela de Física y Matemáticas, Facultad de Ciencias, Universidad Central de Venezuela, AP 47399, Caracas 1041-A, Venezuela
1997en
ABI
Annotatsiya
A relativistic `free' particle in a one-dimensional box is studied. The impossibility of the wavefunction vanishing completely at the walls of the box is proven. Various physically acceptable boundary conditions that allow non-trivial solutions for this problem are proposed. The non-relativistic limits of these results are obtained. The problem of a particle in a spherical box, which presents the same type of difficulties as the one-dimensional problem, is also considered.
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