4 problems
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Semiclassical quantum correction to the chiral soliton mass
Semiclassical mass conjecture. In semiclassical quantization, the classical formula for should be modified in the same way as for the conventional nonlinear Schrödinger equatio…
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SWKB exactness beyond conventional shape-invariant potentials
Let the SWKB condition be the supersymmetric WKB quantization condition for a potential, and let a conventional shape-invariant (SI) potential be one for which this condition is ex…
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Nasuda's level-distribution conjecture for SWKB exactness
Let be the leading-order supersymmetric WKB quantization integral for a quantum system, and let the energy eigenvalues describe its level structure. Nasuda's co…
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Shape invariance as a necessary condition for exactness of the SWKB condition
Let be a supersymmetric quantum-mechanical potential with groundstate eigenfunction , and let the SWKB quantization condition be … where and are the roots…