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- Schrödinger equation, the fundamental equation of the science of submicroscopic phenomena known as quantum mechanics. The equation, developed (1926) by the Austrian physicist Erwin Schrödinger, has the same central importance to quantum mechanics as Newton’s laws of motion have for the large-scale phenomena of classical mechanics.
www.britannica.com/science/Schrodinger-equation
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Dec 28, 2020 · The Schrodinger equation is the most fundamental equation in quantum mechanics, and learning how to use it and what it means is essential for any budding physicist. The equation is named after Erwin Schrödinger, who won the Nobel Prize along with Paul Dirac in 1933 for their contributions to quantum physics.
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Oct 24, 2024 · Essentially a wave equation, the Schrödinger equation describes the form of the probability waves (or wave functions [see de Broglie wave]) that govern the motion of small particles, and it specifies how these waves are altered by external influences.
- The Editors of Encyclopaedia Britannica
Conceptually, the Schrödinger equation is the quantum counterpart of Newton's second law in classical mechanics. Given a set of known initial conditions, Newton's second law makes a mathematical prediction as to what path a given physical system will take over time.
Erwin Schrödinger posited an equation that predicts both the allowed energies of a system as well as address the wave-particle duality of matter. Schrödinger equation for de Broglie's …
The Schrödinger equation is a differential equation that governs the behavior of wavefunctions in quantum mechanics. The term "Schrödinger equation" actually refers to two separate equations, often called the time-dependent and time-independent Schrödinger equations.
Nov 18, 2021 · The Schrödinger equation is the equation of motion for nonrelativistic quantum mechanics. This equation is a linear partial differential equation and in simple situations can be solved using the technique of separation of variables.
The energy-momentum equation of a nonrelativistic particle in one dimension is. E = p2 2m + U(x, t), where p is the momentum, m is the mass, and U is the potential energy of the particle. The wave equation that goes with it turns out to be a key equation in quantum mechanics, called Schrӧdinger’s time-dependent equation.