A new quasi-exactly solvable problem and its connection with an anharmonic oscillator

TL;DR

This paper introduces a new quasi-exactly solvable problem related to a two-dimensional hydrogen atom in a magnetic field and explores its connection to an anharmonic oscillator using KS transformation methods.

Contribution

It presents a novel quasi-exactly solvable model and establishes its link with an anharmonic oscillator through analytical methods.

Findings

Solution of the 2D hydrogen with linear potential in magnetic field.

Connection established between the model and an anharmonic oscillator.

Application of KS transformation to analyze the problem.

Abstract

The two-dimensional hydrogen with a linear potential in a magnetic field is solved by two different methods. Furthermore the connection between the model and an anharmonic oscillator had been investigated by methods of KS transformation.