What does schrodinger equation mean?

Definitions for schrodinger equation
schro·din·g·er equation

This dictionary definitions page includes all the possible meanings, example usage and translations of the word schrodinger equation.

Princeton's WordNet

  1. Schrodinger equation, Schrodinger wave equationnoun

    the fundamental equation of wave mechanics

Wikipedia

  1. Schrödinger equation

    The Schrödinger equation is a linear partial differential equation that governs the wave function of a quantum-mechanical system.: 1–2  It is a key result in quantum mechanics, and its discovery was a significant landmark in the development of the subject. The equation is named after Erwin Schrödinger, who postulated the equation in 1925, and published it in 1926, forming the basis for the work that resulted in his Nobel Prize in Physics in 1933.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. The Schrödinger equation gives the evolution over time of a wave function, the quantum-mechanical characterization of an isolated physical system. The equation can be derived from the fact that the time-evolution operator must be unitary, and must therefore be generated by the exponential of a self-adjoint operator, which is the quantum Hamiltonian. The Schrödinger equation is not the only way to study quantum mechanical systems and make predictions. The other formulations of quantum mechanics include matrix mechanics, introduced by Werner Heisenberg, and the path integral formulation, developed chiefly by Richard Feynman. Paul Dirac incorporated matrix mechanics and the Schrödinger equation into a single formulation. When these approaches are compared, the use of the Schrödinger equation is sometimes called "wave mechanics".

ChatGPT

  1. schrodinger equation

    The Schrödinger equation is a fundamental equation in quantum mechanics that provides the mathematical description of the wave-like behavior of particles in a quantum system. It describes how the state of a physical system changes over time, and it was formulated by Austrian physicist Erwin Schrödinger in 1925. It can be expressed in either time-dependent form, used when the Hamiltonian is time-dependent, or in time-independent form, used when the Hamiltonian is time-independent. Industry gold standard: Wolfram/Mathworld/Summary>.

Wikidata

  1. Schrödinger equation

    In quantum mechanics, the Schrödinger equation is a partial differential equation that describes how the quantum state of some physical system changes with time. It was formulated in late 1925, and published in 1926, by the Austrian physicist Erwin Schrödinger. In classical mechanics, the equation of motion is Newton's second law, and equivalent formulations are the Euler–Lagrange equations and Hamilton's equations. All of these formulations are used to solve for the motion of a mechanical system and mathematically predict what the system will do at any time beyond the initial settings and configuration of the system. In quantum mechanics, the analogue of Newton's law is Schrödinger's equation for a quantum system. It is not a simple algebraic equation, but a linear partial differential equation. The differential equation describes the wave function of the system, also called the quantum state or state vector. In the standard interpretation of quantum mechanics, the wave function is the most complete description that can be given to a physical system. Solutions to Schrödinger's equation describe not only molecular, atomic, and subatomic systems, but also macroscopic systems, possibly even the whole universe.

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Numerology

  1. Chaldean Numerology

    The numerical value of schrodinger equation in Chaldean Numerology is: 7

  2. Pythagorean Numerology

    The numerical value of schrodinger equation in Pythagorean Numerology is: 6

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"schrodinger equation." Definitions.net. STANDS4 LLC, 2024. Web. 19 Mar. 2024. <https://www.definitions.net/definition/schrodinger+equation>.

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