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Probability amplitude

Terminology of quantum mechanics

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In quantum mechanics, the probability amplitude is also called Quantum amplitude , is a complex function that describes the quantum behavior of particles. For example, probability amplitude can describe the position of particles. When describing the position of particles, the probability amplitude is a wave function, expressed as a function of position. This wave function must satisfy Schrodinger equation 。

Chinese name: Probability amplitude
Foreign name: probability amplitude
Definition: Also known as Quantum amplitude

Applied discipline: Terminology of quantum mechanics
Category: science and engineering
Involved: Schrodinger equation

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one concept
two Fundamentals

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For a given quantum state

, quantum mechanics calculates a force quantity

The way to take the probability of various values in the quantum state is to

Force learning

Eigenfunction system of

open:

Where expansion coefficient

It is called probability amplitude,

Is the mechanical quantity

Take the first

The probability of three eigenvalues.

The sum of the probabilities of various values is 1, that is

。 If mechanical quantity

The eigenvalues of are continuous. Just change the sum to integral, and the square of its expansion coefficient modulus is the probability density corresponding to the eigenvalues.^[1]

Fundamentals

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Used to describe Probability wave Wave function of

It is called probability amplitude. In the probability amplitude description,

Means on

Volume element at point

The probability of finding the microscopic material, or taking the coordinates of particles

And will

It is understood as taking the momentum of particles

Probability. When microscopic particles pass through Young double slit, somewhere on the receiving screen

The amplitude of is supposed to be the superposition of probability amplitude propagated through two slits, namely:

It can be seen that using probability amplitude to understand de Broglic wave can well describe the Wave particle duality : Probability amplitude

It is wave amplitude, which can overlap and interfere with each other, reflecting the fluctuation of microscopic particles; Once (with

Probability) in

When observed, it presents a complete particle image.^[2]

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