“Schrödinger’s equation”的概念、定义、翻译、参考文献-科学参考

Schrödinger’s equation

Mathematics

Schrödinger’s equation is a partial differential equation which describes the state of a particle according to quantum theory. The particle’s state is described by a complex-valued wave function ψ‎(x,t), where x denotes position and t denotes time. Schrödinger’s time-dependent equation states that

$i ℏ \frac{\partial ψ}{\partial t} = - \frac{ℏ^{2}}{2 m} \nabla^{2} ψ + V ψ$

where ℏ denotes the reduced Planck’s constant, m is the mass of the particle, V denotes potential energy, and ∇² denotes the Laplacian. The wave function ψ‎ is a superposition of states ψ‎_n(x,t) which satisfy the time-independent Schrödinger equation

$- \frac{ℏ^{2}}{2 m} \nabla^{2} ψ_{n} + V ψ_{n} = E_{n} ψ_{n}$

where E_n denotes energy of the nth state. More concisely, this may be written Hψ‎_n = E_nψ‎_n, so that ψ‎_n is an eigenstate of the Hamiltonian H. See Copenhagen interpretation, measurement, observable.

单词	Schrödinger’s equation
释义	Schrödinger’s equation Mathematics Schrödinger’s equation is a partial differential equation which describes the state of a particle according to quantum theory. The particle’s state is described by a complex-valued wave function ψ‎(x,t), where x denotes position and t denotes time. Schrödinger’s time-dependent equation states that $i ℏ \frac{\partial ψ}{\partial t} = - \frac{ℏ^{2}}{2 m} \nabla^{2} ψ + V ψ$ where ℏ denotes the reduced Planck’s constant, m is the mass of the particle, V denotes potential energy, and ∇² denotes the Laplacian. The wave function ψ‎ is a superposition of states ψ‎_n(x,t) which satisfy the time-independent Schrödinger equation $- \frac{ℏ^{2}}{2 m} \nabla^{2} ψ_{n} + V ψ_{n} = E_{n} ψ_{n}$ where E_n denotes energy of the nth state. More concisely, this may be written Hψ‎_n = E_nψ‎_n, so that ψ‎_n is an eigenstate of the Hamiltonian H. See Copenhagen interpretation, measurement, observable.
随便看	Monotrematum sudamericanum monotremes monotropy monotypic monovalent monozygotic twins Monroe Doctrine Monroe, James (1758–1831) mons monsoon monsoon depression monsoon forest monster curve Montagnier, Luc Montagu-Chelmsford Proposals (1918) Montague grammar Montaigne, Michel Eyquem de (1533–92) Montcalm, Louis Joseph de Montcalm-Gozon, Marquis de (1712–59) Monte Carlo fallacy Monte Carlo method Monte Carlo methods Monte Carlo model Monte Carlo simulation Monte Carlo test Montejus