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Probability current

In quantum mechanics, the probability current (sometimes called probability flux) is a mathematical quantity describing the flow of probability. Specifically, if one thinks of probability as a heterogeneous fluid, then the probability current is the rate of flow of this fluid. It is a real vector that changes with space and time. Probability currents are…

Definition (non-relativistic 3-current), Motivation & Connection with classical mechanics

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Definition (non-relativistic 3-current)

Connection with classical mechanics

Motivation

Examples

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Map overview Semantic statistics

Probability current

Nodes76
Edges75
Triples32
Avg. degree1.97
Density0.026316
Components1

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Probability current

Top relations

related to Discrete definition · 10
Probability current → As, Delta, For, Hamiltonian, Im, Laplacian, Psi, S-S, Since, Then
related to Free spin-0 particle · 5
Probability current → Im, In, Planck, Psi, Re
related to Connection with classical mechanics · 4
Probability current → Psi, Re, The, Written
related to Continuity equation for quantum mechanics · 3
Probability current → For, Schrödinger's, The
related to Particle in a box · 3
Probability current → For, Psi, The
related to Plane wave · 3
Probability current → Ae, For, Psi
related to Transmission and reflection through potentials · 3
Probability current → Both, In, The
is a · 1
Probability current → rate of flow of this fluid

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Important terminology

probability displaystyle current mathbf frac psi left right nabla hbar density quantum particle equation operator partial hat time mechanics 2m

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Probability currentis arate of flow of this fluid0.90text
Probability currentrelated to Connection with classical mechanicsThe0.60section
Probability currentrelated to Connection with classical mechanicsPsi0.60section
Probability currentrelated to Connection with classical mechanicsRe0.60section
Probability currentrelated to Connection with classical mechanicsWritten0.60section
Probability currentrelated to Continuity equation for quantum mechanicsThe0.60section
Probability currentrelated to Continuity equation for quantum mechanicsSchrödinger's0.60section
Probability currentrelated to Continuity equation for quantum mechanicsFor0.60section
Probability currentrelated to Discrete definitionFor0.60section
Probability currentrelated to Discrete definitionHamiltonian0.60section
Probability currentrelated to Discrete definitionDelta0.60section
Probability currentrelated to Discrete definitionS-S0.60section

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