Remarks on the Schrodinger equation
Robert Carroll
TL;DR
This paper explores the origins and connections of linear and nonlinear Schrödinger equations with diffusion, hydrodynamics, and fractal structures, highlighting the role of quantum potential with some new insights.
Contribution
It provides an expository analysis of the Schrödinger equation's origins, emphasizing the quantum potential and offering new observations.
Findings
Connections between Schrödinger equations and diffusion, hydrodynamics, fractals
Emphasis on the quantum potential in understanding quantum mechanics
Includes some novel observations on the topic
Abstract
Various origins of linear and nonlinear Schrodinger equations are discussed in connection with diffusion, hydrodynamics, and fractal structure. The treatment is mainly expository, emphasizing the quantum potential, with a few new observations.
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Taxonomy
TopicsQuantum Mechanics and Applications · Noncommutative and Quantum Gravity Theories · Advanced Mathematical Theories and Applications