On Quantization, the Generalized Schrödinger Equation and Classical Mechanics

K. R. W. Jones

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arXiv · 1212.6784

On Quantization, the Generalized Schrödinger Equation and Classical Mechanics

K. R. W. Jones

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Abstract

Using a new state-dependent, $λ$-deformable, linear functional operator, ${\cal Q}_ψ^λ$, which presents a natural $C^{\infty}$ deformation of quantization, we obtain a uniquely selected non--linear, integro--differential Generalized Schrödinger equation. The case ${\cal Q}_ψ^{1}$ reproduces linear quantum mechanics, whereas ${\cal Q}_ψ^{0}$ admits an exact dynamic, energetic and measurement theoretic {\em reproduction} of classical mechanics. All solutions to the resulting classical wave equation are given and we show that functionally chaotic dynamics exists.

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K. R. W. Jones. 2012-12-30. On Quantization, the Generalized Schrödinger Equation and Classical Mechanics. https://arxiv.org/abs/1212.6784

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