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TISE

中文百科

薛定谔方程 Schrödinger equation

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埃尔温·薛丁格
薛定谔将哈密顿模拟延伸至量子力学与波动光学之间。[17]
薛定谔将哈密顿模拟延伸至量子力学与波动光学之间。[17]

在量子力学里,薛定谔方程Schrödinger equation)是描述物理系统的量子态怎样随时间演化的偏微分方程,为量子力学的基础方程之一,其以发表者奥地利物理学家埃尔温·薛定谔而命名。关于量子态与薛定谔方程的概念涵盖于基础量子力学假说里,无法从其它任何原理推导而出。

在古典力学里,人们使用牛顿第二定律描述物体运动。而在量子力学里,类似的运动方程为薛定谔方程。薛定谔方程的解完备地描述物理系统里,微观尺寸粒子的量子行为;这包括分子系统、原子系统、亚原子系统;另外,薛定谔方程的解还可完备地描述宏观系统,可能乃至整个宇宙。

英语百科

Schrödinger equation 薛定谔方程

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Schrödinger equation as part of a monument in front of Warsaw University's Centre of New Technologies
A wave function that satisfies the non-relativistic Schrödinger equation with V = 0. In other words, this corresponds to a particle traveling freely through empty space. The real part of the wave function is plotted here.
Each of these three rows is a wave function which satisfies the time-dependent Schrödinger equation for a harmonic oscillator. Left: The real part (blue) and imaginary part (red) of the wave function. Right: The probability distribution of finding the particle with this wave function at a given position. The top two rows are examples of stationary states, which correspond to standing waves. The bottom row is an example of a state which is not a stationary state. The right column illustrates why stationary states are called
Quantum tunneling through a barrier. A particle coming from the left does not have enough energy to climb the barrier. However, it can sometimes

In quantum mechanics, the Schrödinger equation is a partial differential equation that describes how the quantum state of a quantum system changes with time. It was formulated in late 1925, and published in 1926, by the Austrian physicist Erwin Schrödinger.

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