Preprint Essay Version 1 Preserved in Portico This version is not peer-reviewed

An Expository Medley on the Probabilistic Aspects and Insights of the Schrödinger Systems

Version 1 : Received: 21 October 2022 / Approved: 24 October 2022 / Online: 24 October 2022 (12:45:15 CEST)

How to cite: Sheng, C. An Expository Medley on the Probabilistic Aspects and Insights of the Schrödinger Systems. Preprints 2022, 2022100364. https://doi.org/10.20944/preprints202210.0364.v1 Sheng, C. An Expository Medley on the Probabilistic Aspects and Insights of the Schrödinger Systems. Preprints 2022, 2022100364. https://doi.org/10.20944/preprints202210.0364.v1

Abstract

Calculus, as a starting point to everyone's study of mathematics, was developed along with classical mechanics. Though not rigorously formulated, the intuition for differential form and infinitesimal motion makes calculus not hard to understand. And hence it does not require great effort to grasp the principles of classical mechanics. However, the situation becomes quite different when it comes to the quantum world. Given a particle system, what of interest is always the physical quantity of this system, such as energy, position, momentum, entropy, etc. But it is no longer straightforward.

Keywords

Schrödinger systems; Differential equations; Evolutions

Subject

Computer Science and Mathematics, Mathematics

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