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- Creation_and_annihilation_operators abstract "Creation and annihilation operators are mathematical operators that have widespread applications in quantum mechanics, notably in the study of quantum harmonic oscillators and many-particle systems. An annihilation operator lowers the number of particles in a given state by one. A creation operator increases the number of particles in a given state by one, and it is the adjoint of the annihilation operator. In many subfields of physics and chemistry, the use of these operators instead of wavefunctions is known as second quantization.Creation and annihilation operators can act on states of various types of particles. For example, in quantum chemistry and many-body theory the creation and annihilation operators often act on electron states.They can also refer specifically to the ladder operators for the quantum harmonic oscillator. In the latter case, the raising operator is interpreted as a creation operator, adding a quantum of energy to the oscillator system (similarly for the lowering operator). They can be used to represent phonons.The mathematics for the creation and annihilation operators for bosons is the same as for the ladder operators of the quantum harmonic oscillator. For example, the commutator of the creation and annihilation operators that are associated with the same boson state equals one, while all other commutators vanish. However, for fermions the mathematics is different, involving anticommutators instead of commutators.".
- Creation_and_annihilation_operators wikiPageExternalLink books?id=Ou4ltPYiXPgC&pg=Front.
- Creation_and_annihilation_operators wikiPageID "701991".
- Creation_and_annihilation_operators wikiPageLength "19700".
- Creation_and_annihilation_operators wikiPageOutDegree "66".
- Creation_and_annihilation_operators wikiPageRevisionID "703150009".
- Creation_and_annihilation_operators wikiPageWikiLink Antilinear_map.
- Creation_and_annihilation_operators wikiPageWikiLink Bogoliubov_transformation.
- Creation_and_annihilation_operators wikiPageWikiLink Boson.
- Creation_and_annihilation_operators wikiPageWikiLink Bra–ket_notation.
- Creation_and_annihilation_operators wikiPageWikiLink C*-algebra.
- Creation_and_annihilation_operators wikiPageWikiLink CCR_and_CAR_algebras.
- Creation_and_annihilation_operators wikiPageWikiLink Canonical_commutation_relation.
- Creation_and_annihilation_operators wikiPageWikiLink Category:Quantum_field_theory.
- Creation_and_annihilation_operators wikiPageWikiLink Category:Quantum_mechanics.
- Creation_and_annihilation_operators wikiPageWikiLink Chemistry.
- Creation_and_annihilation_operators wikiPageWikiLink Clifford_algebra.
- Creation_and_annihilation_operators wikiPageWikiLink Commutative_property.
- Creation_and_annihilation_operators wikiPageWikiLink Commutator.
- Creation_and_annihilation_operators wikiPageWikiLink Electron.
- Creation_and_annihilation_operators wikiPageWikiLink Fermion.
- Creation_and_annihilation_operators wikiPageWikiLink Fock_space.
- Creation_and_annihilation_operators wikiPageWikiLink Free_field.
- Creation_and_annihilation_operators wikiPageWikiLink Gaussian_integral.
- Creation_and_annihilation_operators wikiPageWikiLink Hamiltonian_(quantum_mechanics).
- Creation_and_annihilation_operators wikiPageWikiLink Hermitian_adjoint.
- Creation_and_annihilation_operators wikiPageWikiLink Hilbert_space.
- Creation_and_annihilation_operators wikiPageWikiLink Hydrogen_atom.
- Creation_and_annihilation_operators wikiPageWikiLink Identical_particles.
- Creation_and_annihilation_operators wikiPageWikiLink Kronecker_delta.
- Creation_and_annihilation_operators wikiPageWikiLink Ladder_operator.
- Creation_and_annihilation_operators wikiPageWikiLink Linearity.
- Creation_and_annihilation_operators wikiPageWikiLink Many-body_problem.
- Creation_and_annihilation_operators wikiPageWikiLink Many-body_theory.
- Creation_and_annihilation_operators wikiPageWikiLink Momentum_operator.
- Creation_and_annihilation_operators wikiPageWikiLink Nondimensionalization.
- Creation_and_annihilation_operators wikiPageWikiLink Normal_operator.
- Creation_and_annihilation_operators wikiPageWikiLink Operator_(mathematics).
- Creation_and_annihilation_operators wikiPageWikiLink Optical_phase_space.
- Creation_and_annihilation_operators wikiPageWikiLink Particle_number_operator.
- Creation_and_annihilation_operators wikiPageWikiLink Phonon.
- Creation_and_annihilation_operators wikiPageWikiLink Physics.
- Creation_and_annihilation_operators wikiPageWikiLink Quantum.
- Creation_and_annihilation_operators wikiPageWikiLink Quantum_chemistry.
- Creation_and_annihilation_operators wikiPageWikiLink Quantum_field_theory.
- Creation_and_annihilation_operators wikiPageWikiLink Quantum_harmonic_oscillator.
- Creation_and_annihilation_operators wikiPageWikiLink Quantum_mechanics.
- Creation_and_annihilation_operators wikiPageWikiLink Quantum_number.
- Creation_and_annihilation_operators wikiPageWikiLink Schrödinger_equation.
- Creation_and_annihilation_operators wikiPageWikiLink Second_quantization.
- Creation_and_annihilation_operators wikiPageWikiLink Tuple.
- Creation_and_annihilation_operators wikiPageWikiLink Vacuum_state.
- Creation_and_annihilation_operators wikiPageWikiLink Wave_function.
- Creation_and_annihilation_operators wikiPageWikiLink Weyl_algebra.
- Creation_and_annihilation_operators wikiPageWikiLinkText "Creation and annihilation operators".
- Creation_and_annihilation_operators wikiPageWikiLinkText "Creation operators".
- Creation_and_annihilation_operators wikiPageWikiLinkText "annihilation and creation operators".
- Creation_and_annihilation_operators wikiPageWikiLinkText "annihilation and creation".
- Creation_and_annihilation_operators wikiPageWikiLinkText "annihilation operators".
- Creation_and_annihilation_operators wikiPageWikiLinkText "creation and annihilation operators".
- Creation_and_annihilation_operators wikiPageWikiLinkText "creation and annihilation".
- Creation_and_annihilation_operators wikiPageWikiLinkText "from and ".
- Creation_and_annihilation_operators wikiPageWikiLinkText "lowering and raising operators".
- Creation_and_annihilation_operators wikiPageWikiLinkText "raising and lowering operators".
- Creation_and_annihilation_operators wikiPageUsesTemplate Template:Cite_book.
- Creation_and_annihilation_operators wikiPageUsesTemplate Template:Dbraket.
- Creation_and_annihilation_operators wikiPageUsesTemplate Template:Dket.
- Creation_and_annihilation_operators wikiPageUsesTemplate Template:Main.
- Creation_and_annihilation_operators wikiPageUsesTemplate Template:Physics_operator.
- Creation_and_annihilation_operators wikiPageUsesTemplate Template:Pi.
- Creation_and_annihilation_operators wikiPageUsesTemplate Template:Refimprove.
- Creation_and_annihilation_operators wikiPageUsesTemplate Template:What.
- Creation_and_annihilation_operators subject Category:Quantum_field_theory.
- Creation_and_annihilation_operators subject Category:Quantum_mechanics.
- Creation_and_annihilation_operators hypernym Operators.
- Creation_and_annihilation_operators type Company.
- Creation_and_annihilation_operators type Mechanic.
- Creation_and_annihilation_operators type Physic.
- Creation_and_annihilation_operators comment "Creation and annihilation operators are mathematical operators that have widespread applications in quantum mechanics, notably in the study of quantum harmonic oscillators and many-particle systems. An annihilation operator lowers the number of particles in a given state by one. A creation operator increases the number of particles in a given state by one, and it is the adjoint of the annihilation operator.".
- Creation_and_annihilation_operators label "Creation and annihilation operators".
- Creation_and_annihilation_operators sameAs Q902336.
- Creation_and_annihilation_operators sameAs Kreační_operátor.
- Creation_and_annihilation_operators sameAs Erzeugungs-_und_Vernichtungsoperator.
- Creation_and_annihilation_operators sameAs عملگرهای_خلق_و_فنا.
- Creation_and_annihilation_operators sameAs Luomis-_ja_hävitysoperaattorit.
- Creation_and_annihilation_operators sameAs Opxc3xa9rateur_dxc3xa9chelle.
- Creation_and_annihilation_operators sameAs Operatori_di_creazione_e_distruzione.
- Creation_and_annihilation_operators sameAs 生成消滅演算子.
- Creation_and_annihilation_operators sameAs Operatory_kreacji_i_anihilacji.
- Creation_and_annihilation_operators sameAs m.03404m.
- Creation_and_annihilation_operators sameAs Оператори_народження_та_знищення.
- Creation_and_annihilation_operators sameAs Q902336.
- Creation_and_annihilation_operators sameAs 創生及湮滅算符.
- Creation_and_annihilation_operators wasDerivedFrom Creation_and_annihilation_operators?oldid=703150009.
- Creation_and_annihilation_operators isPrimaryTopicOf Creation_and_annihilation_operators.