Excited diskrete spectrum states wave functions of quantum integrable N-particle systems in an external field

TL;DR

This paper develops a method to construct excited state wave functions for discrete spectra in integrable quantum N-particle systems under external fields, using recurrence relations.

Contribution

It introduces recurrence relations that define excited state wave functions up to normalization for integrable quantum systems.

Findings

Derived explicit recurrence relations for wave functions.

Applicable to N-particle integrable systems in external fields.

Provides a systematic way to construct excited states.

Abstract

A problem of constructing excited state swave functions of the discrete spectrum of completely integrable quantum systems is considered. Recurrence relations defining wave functions up to the normalizing constant are obtained.