6 citations · 9 across the 5 of their papers we have counts for
5 papers
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…
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…
Harmonic Oscillator with a Step and its Isospectral Properties
Yuta Nasuda, Nobuyuki Sawado
We investigate the one-dimensional Schrödinger equation for a harmonic oscillator with a finite jump at the origin. The solution is constructed by employing the ordinary matchi…
SWKB Quantization Condition for Conditionally Exactly Solvable Systems and the Residual Corrections
Yuta Nasuda, Nobuyuki Sawado
The SWKB quantization condition is an exact quantization condition for the conventional shape-invariant potentials. On the other hand, this condition equation does not hold for oth…
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…