A Physical Axiomatic Approach to Schrodinger's Equation

Abstract

The Schrodinger equation for non-relativistic quantum systems is derived from some classical physics axioms within an ensemble hamiltonian framework. Such an approach enables one to understand the structure of the equation, in particular its linearity, in intuitive terms. Furthermore it allows for a physically motivated and systematic investigation of potential generalisations which are briefly discussed.

Extended version. 14 pages

References in corpus (6)

• Exact uncertainty relations: physical significance
• Quantum Theory from Quantum Gravity
• An Information-Theoretic Link Between Spacetime Symmetries and Quantum Linearity
• Bosonic field equations from an exact uncertainty principle
• Information Measures for Inferring Quantum Mechanics
• Why is Schrodinger's Equation Linear?

Cited by in corpus (4)

• Quantization from an exponential distribution of infinitesimal action
• Quantum fluctuations as deviation from classical dynamics of ensemble of trajectories parameterized by unbiased hidden random variable
• Information and Particle Physics
• The large nonlinearity scale limit of an information-theoretically motivated nonlinear Schrodinger equation