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Quantum systems from separation of variables on sphere

Published on:

14 May 2024

Primary Category:

Mathematical Physics

Paper Authors:

Sean Dawson,

Holger Dullin


Key Details

Studies quantum integrable systems from separating Schrodinger equation on 3-sphere

Focuses on differential equations and polynomial solutions

Shows separation in ellipsoidal coordinates yields generalized Lame equation

Analyzes degenerations to other coordinate systems

Demonstrates prolate system has quantum monodromy

AI generated summary

Quantum systems from separation of variables on sphere

This paper studies quantum integrable systems arising from separation of variables in orthogonal coordinates on a 3-sphere. The analysis focuses on the resulting differential equations and their polynomial solutions. A key finding is that separation in prolate coordinates leads to a system with quantum monodromy, indicating a global obstruction to assigning quantum numbers.

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