Solving a quantum harmonic oscillator using quasi momentum

[Prathyush]

In the paper below I've seen a new method to solve the quantum harmonic oscillator
Introduction to the Spectrum of N=4 SYM and the Quantum Spectral Curve

It is done using the concept of quasi momentum defined as
$$p = - i \frac{d(\log \psi)}{dx}$$
See pg 7,8

Is this well know? is it discussed somewhere in detail?

 

[azntoon]

The concept of quasi momentum has been studied in the literature for several decades, but it has been mainly used to study classical systems. It is a relatively new development to apply such a concept to quantum systems, particularly in the context of the Quantum Spectral Curve and the spectrum of N=4 SYM. To the best of our knowledge, there is no detailed discussion of this technique in the literature.