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- Quantum_dilogarithm abstract "In mathematics, the quantum dilogarithm also known as q-exponential is a special function defined by the formulaThus in the notation of the page on q-exponential mentioned above, .Let be “q-commuting variables”, that is elements of a suitablenoncommutative algebra satisfying Weyl’s relation . Then, the quantum dilogarithmsatisfies Schützenberger’s identityFaddeev-Volkov's identityand Faddeev-Kashaev's identityThe latter is known to be a quantum generalization of Roger's five term dilogarithm identity.Faddeev's quantum dilogarithm is defined by the following formula: where the contour of integration goes along the real axis outside a small neighborhood of the origin and deviates into the upper half-plane near the origin. Ludvig Faddeev discovered the quantum pentagon identity: where and are (normalized) quantum mechanical momentum and position operators satisfying Heisenberg's commutation relationThe quantum dilogarithm finds applications in mathematical physics, quantum topology, cluster algebra theory.The precise relationship between the q-exponential and is expressed by the equalityvalid for Im .".
- Quantum_dilogarithm wikiPageID "31601344".
- Quantum_dilogarithm wikiPageRevisionID "602296074".
- Quantum_dilogarithm hasPhotoCollection Quantum_dilogarithm.
- Quantum_dilogarithm id "quantum+dilogarithm".
- Quantum_dilogarithm title "quantum dilogarithm".
- Quantum_dilogarithm subject Category:Articles_created_via_the_Article_Wizard.
- Quantum_dilogarithm subject Category:Special_functions.
- Quantum_dilogarithm type Abstraction100002137.
- Quantum_dilogarithm type Function113783816.
- Quantum_dilogarithm type MathematicalRelation113783581.
- Quantum_dilogarithm type Relation100031921.
- Quantum_dilogarithm type SpecialFunctions.
- Quantum_dilogarithm comment "In mathematics, the quantum dilogarithm also known as q-exponential is a special function defined by the formulaThus in the notation of the page on q-exponential mentioned above, .Let be “q-commuting variables”, that is elements of a suitablenoncommutative algebra satisfying Weyl’s relation .".
- Quantum_dilogarithm label "Quantum dilogarithm".
- Quantum_dilogarithm sameAs m.0gmd7tp.
- Quantum_dilogarithm sameAs Q7269036.
- Quantum_dilogarithm sameAs Q7269036.
- Quantum_dilogarithm sameAs Quantum_dilogarithm.
- Quantum_dilogarithm wasDerivedFrom Quantum_dilogarithm?oldid=602296074.
- Quantum_dilogarithm isPrimaryTopicOf Quantum_dilogarithm.