Quantum-Mechanical Particle in an Equilateral Triangle
Abstract
The particle in an equilateral triangle is the simplest quantummechanical problem that has a nonseparable but exact analytic solution The Schroumldinger equation can be written with on and outside an equilateral triangle of side The groundstate solution corresponds to an energy eigenvalue The general solutions have the form with and with energies The Hamiltonian transforms under the symmetry g
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