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Bra–ket notation

Bra–ket notation or Dirac notation is a mathematical notation for linear algebra and linear operators on complex vector spaces together with their dual spaces both in the finite- and infinite-dimensional cases. It is specifically designed to ease the types of calculations that frequently arise in quantum mechanics. It is now of ubiquitous usage in that…

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Overview

Quantum mechanics

Vector spaces

Usage in quantum mechanics

Pitfalls and ambiguous uses

Linear operators

Properties

Composite bras and kets

The unit operator

Notation used by mathematicians

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Map overview Semantic statistics

Bra–ket notation

Nodes113
Edges112
Triples78
Avg. degree1.98
Density0.017699
Components1

How this topic connects Entity context

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Bra–ket notation

Top relations

related to External links · 26
Bra–ket notation → Austin, Berkeley, Bibcode, Bra, California, Dirac's, Eigenvalues, Gieres, Includes, Ket, Lecture, Littlejohn, Mathematical, Operators4, Phys, Prog, Quantum, Quantum Mechanics, Rep, Richard Fitzpatrick
related to Non-normalizable states and non-Hilbert spaces · 10
Bra–ket notation → Bra, Dirac, Examples, Gelfand, Hilbert, However, In, Naimark, Segal, These
related to Usage in quantum mechanics · 10
Bra–ket notation → Dynamics, For, Hilbert, In, Measurements, Quantum, Schrödinger, Technically, The, Wave
related to Hermitian conjugation · 5
Bra–ket notation → Bra, Given, Hermitian, The, The Hermitian
related to Inner product and bra–ket identification on Hilbert space · 5
Bra–ket notation → Bra, Hermitian, Hilbert, Riesz, The
related to Notation used by mathematicians · 5
Bra–ket notation → Hilbert, Let, That, The, What
related to Associativity · 4
Bra–ket notation → For, Given, Note, The
related to Separation of inner product and vectors · 4
Bra–ket notation → Consider, If, It, We
related to Properties · 3
Bra–ket notation → Bra, In, Some
related to Quantum mechanics · 3
Bra–ket notation → In, Mathematically, The

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Important terminology

displaystyle space rangle vector langle ket linear bra psi notation quantum kets hilbert complex product basis operators mechanics inner phi

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Bra–ket notationis aHilbert space0.90text
rotation or the progression of time.Linear operators acting on brasOperators can also be viewed as acting on bras from the right hand sideinstance ofwhereas transformative processes are represented by unitary linear operators0.80text
rotation or the progression of timeinstance ofwhereas transformative processes are represented by unitary linear operators0.80text
Bra–ket notationrelated to AssociativityGiven0.60section
Bra–ket notationrelated to AssociativityFor0.60section
Bra–ket notationrelated to AssociativityThe0.60section
Bra–ket notationrelated to AssociativityNote0.60section
Bra–ket notationrelated to External linksRichard Fitzpatrick0.60section
Bra–ket notationrelated to External linksQuantum Mechanics0.60section
Bra–ket notationrelated to External linksThe University0.60section
Bra–ket notationrelated to External linksTexas0.60section
Bra–ket notationrelated to External linksAustin0.60section

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