The Musical Canon Inside Differential Equations

Year: 2015 Authors: Donald Spector

Core claim

Shape invariance in exactly solvable differential equations parallels canon form because each partner equation is a transformed, shifted version of the other.

Topics

musical canon, shape invariance, supersymmetry, exactly solvable equations

Domains

differential equations, eigenvalue problems, quantum mechanics, supersymmetry, music, composition, canon form

Methods

conceptual analogy, eigenfunction analysis, factorization method, worked example

Media

musical melody, differential operators, Schrödinger equation

Source status

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