One-Dimensional Quasi-Exactly Solvable Schr\"odinger Equations

Understand

Quasi-Exactly Solvable Schr\"odinger Equations occupy an intermediate place between exactly-solvable (e.g.

• the harmonic oscillator and Coulomb problems etc) and non-solvable ones.
• Their major property is an explicit knowledge of several eigenstates while the remaining ones are unknown.
• Many of these problems are of the anharmonic oscillator type with a special type of anharmonicity.