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单词 Schrödinger equation
释义
Schrödinger equation

Physics
  • An equation used in wave mechanics (see quantum mechanics) for the wave function of a particle. The time-independent Schrödinger equation is:

    2ψ+8π2m(E-U)ψ/h2=0

    where ψ‎ is the wave function, ∇‎2 the Laplace operator (see Laplace equation), h the Planck constant, m the particle’s mass, E its total energy, and U its potential energy. It was devised by Erwin Schrödinger, who was mainly responsible for wave mechanics. It can be solved exactly for very simple systems, such as the harmonic oscillator and the hydrogen atom.


Chemistry
  • An equation used in wave mechanics (see quantum mechanics) for the wave function of a particle. The time-independent Schrödinger equation is:

    2ψ+8π2m(E-U)ψ/h2=0,

    where ψ‎ is the wave function, ∇‎2 the Laplace operator, h the Planck constant, m the particle’s mass, E its total energy, and U its potential energy. It can also be written as:

    Hψ=Eψ,

    where H is the Hamiltonian operator. It was devised by Erwin Schrödinger, who was mainly responsible for wave mechanics.


Electronics and Electrical Engineering
  • The fundamental equation of quantum mechanics.


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