On Quantization, the Generalized Schr\'odinger Equation and Classical Mechanics

Autor:	Jones, K. R. W.
Rok vydání:	2012
Předmět:	Quantum Physics Mathematical Physics Nonlinear Sciences - Chaotic Dynamics
Druh dokumentu:	Working Paper
Popis:	Using a new state-dependent, $\lambda$-deformable, linear functional operator, ${\cal Q}_{\psi}^{\lambda}$, which presents a natural $C^{\infty}$ deformation of quantization, we obtain a uniquely selected non--linear, integro--differential Generalized Schr\"odinger equation. The case ${\cal Q}_{\psi}^{1}$ reproduces linear quantum mechanics, whereas ${\cal Q}_{\psi}^{0}$ 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. Comment: 8 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1212.6784 Zobrazit plný text záznamu View this record from Arxiv