Schrödinger equation

American  

noun

Physics.

1. the wave equation of nonrelativistic quantum mechanics.

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Schrödinger equation British  

noun

1. an equation used in wave mechanics to describe a physical system. For a particle of mass m and potential energy V it is written (i h /2π).(∂ψ/∂ t ) = (– h ²/8π² m )∇²ψ + Vψ, where i = √–1, h is the Planck constant, t the time, ∇² the Laplace operator, and ψ the wave function

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Etymology

Origin of Schrödinger equation

1950–55; after E. Schrödinger ( def. )

Example Sentences

Using a model based on the time-dependent Schrödinger equation, the researchers confirmed that such a scattering barrier could account for both the missing harmonic and the reduced overall light output.

From Science Daily

Researchers can deduce the behavior of a molecule by solving its Schrödinger equation, which in part describes the probabilistic, wavelike behavior of electrons and their interactions with atomic nuclei, based on inputs such as electron energy levels and chemical bond lengths.

From Science Magazine

Erwin Schrödinger, author of the Schrödinger equation that governs the wave function, was one of the first to express the general dissatisfaction of the physics community.

From Scientific American

This comes with the important caveat that the information we’re talking about is the global quantum state, which evolves according to the Schrödinger equation.

From Scientific American

The Schrödinger equation predicts the likelihood of finding a particle in a certain state.

From Scientific American