Schrödinger equation revisited.
basic_science · Level V
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- Record sourced from PubMed, PMID 23509260.
- Also identified by DOI 10.1073/pnas.1302475110 and PMC identifier 3619330.
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Abstract
The time-dependent Schrödinger equation is a cornerstone of quantum physics and governs all phenomena of the microscopic world. However, despite its importance, its origin is still not widely appreciated and properly understood. We obtain the Schrödinger equation from a mathematical identity by a slight generalization of the formulation of classical statistical mechanics based on the Hamilton-Jacobi equation. This approach brings out most clearly the fact that the linearity of quantum mechanics is intimately connected to the strong coupling between the amplitude and phase of a quantum wave.
Medical subject headings
- Mechanics
- Models, Theoretical
- Quantum Theory