Work

Comprehensive Derivation and Comparison of the Schr¨odinger Equation

Year: 2025

Type: article

Abstract: This document presents two comprehensive derivations of the Schr¨odinger equationfrom first principles, followed by a detailed comparison analysis. The first derivationemphasizes mathematical rigor and operator formalism, building from classical me-chanics through canonical quantization. The second derivation focuses on physicalinterpretation and historical development, starting from quantum postulates. Bothapproaches achieve the same fundamental equation while providing complementaryinsights into quantum mechanics. The comparison analysis evaluates strengths, weak-nesses, and complementary aspects of each approach, providing recommendations forenhanced understanding.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.17300341

Author: Ryan David Oates, Ryan David Oates

Language: English

Topic: Quantum Mechanics and Applications

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7086899314

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