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math-ph2025
Interrelation among Solvable Potentials and Extensions of SWKB Quantization Condition
Yuta Nasuda
The exactly solvable Schrödinger equations with the conventional shape-invariant potentials are known to be related with each other through point cannonical transformations. In thi…
math-ph2024
Study on a Quantization Condition and the Solvability of Schrödinger-type Equations
Yuta Nasuda
In this thesis, we study a quantization condition in relation to the solvability of Schrödinger equations. This quantization condition is called the SWKB (supersymmetric Wentzel-Kr…
math-ph2020
Numerical study of the SWKB condition of novel classes of exactly solvable systems
Yuta Nasuda, Nobuyuki Sawado
The supersymmetric WKB (SWKB) condition is supposed to be exact for all known exactly solvable quantum mechanical systems with the shape invariance. Recently, it was claimed that t…