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Ladder operator

In linear algebra (and its application to quantum mechanics), a raising or lowering operator (collectively known as ladder operators) is an operator that increases or decreases the eigenvalue of another operator. In quantum mechanics, the raising and lowering operators are commonly known as the creation and annihilation operators, respectively.…

History, Angular momentum & Terminology

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Overview

Terminology

Motivation from mathematics

General formulation

Angular momentum

Harmonic oscillator

Hydrogen-like atom

Relation to group theory

History

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Map overview Semantic statistics

Ladder operator

Nodes64
Edges63
Triples40
Avg. degree1.97
Density0.03125
Components1

How this topic connects Entity context

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Ladder operator

Top relations

related to Laplace–Runge–Lenz vector · 11
Ladder operator → Analogous, Another, Hamiltonian, Laplace, Lenz, Runge, The, The Laplace, Therefore, We, Ze
related to Terminology · 7
Ladder operator → An, Confusion, QFT, The, There, This, To
related to Angular momentum · 6
Ladder operator → For, Jx, Jy, Jz, Levi-Civita, The
related to Hydrogen-like atom · 5
Ladder operator → Hamiltonian, Laplace, Lenz, Runge, There
related to Motivation from mathematics · 5
Ladder operator → For, From, Ladder, Lie, The
related to Harmonic oscillator · 3
Ladder operator → Another, They, We
related to history · 3
Ladder operator → Dirac's, Many, Paul Dirac

Important terminology Word statistics

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Important terminology

displaystyle operators ladder hbar rangle operator angular momentum quantum begin aligned end mu lowering raising frac number one energy hamiltonian

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Ladder operatorrelated to Angular momentumFor0.60section
Ladder operatorrelated to Angular momentumJx0.60section
Ladder operatorrelated to Angular momentumJy0.60section
Ladder operatorrelated to Angular momentumJz0.60section
Ladder operatorrelated to Angular momentumThe0.60section
Ladder operatorrelated to Angular momentumLevi-Civita0.60section
Ladder operatorrelated to Harmonic oscillatorAnother0.60section
Ladder operatorrelated to Harmonic oscillatorWe0.60section
Ladder operatorrelated to Harmonic oscillatorThey0.60section
Ladder operatorrelated to historyMany0.60section
Ladder operatorrelated to historyPaul Dirac0.60section
Ladder operatorrelated to historyDirac's0.60section

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