@inbook{eb31f625670c44cab57446aaed270057,

title = "The Schr{\"o}dinger Equation with Power Potentials: Exactly-Solvable Problems",

abstract = "Some aspects of quasi-exact and semi-exact solubility are discussed. In particular, quasi-exactly solvable potentials are obtained as solutions of inverse problems with preassumed wave functions. Then, quasi-exactly solvable equations are derived as polynomial reduction of semi-exactly solvable problems. The relations between the numerical accuracy of the eigenvalues and the radius of convergence of the power series expansion of the wave function are discussed in the last section.",

keywords = "Energy spectrum, Harmonium, Hessenberg determinant, Heun equation, Integrable potentials, Quasi-exact solubility, Schr{\"o}dinger equation, Semi-exact solubility",

author = "Jacek Karwowski and Witek, {Henryk A.}",

note = "Publisher Copyright: {\textcopyright} 2021, Springer Nature Switzerland AG.",

year = "2021",

doi = "10.1007/978-3-030-68314-6_3",

language = "English",

series = "Progress in Theoretical Chemistry and Physics",

publisher = "Springer Nature",

pages = "43--57",

booktitle = "Progress in Theoretical Chemistry and Physics",

address = "Germany",

}