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- Artin_billiard abstract "In mathematics and physics, the Artin billiard is a type of a dynamical billiard first studied by Emil Artin in 1924. It describes the geodesic motion of a free particle on the non-compact Riemann surface where is the upper half-plane endowed with the Poincaré metric and is the modular group. It can be viewed as the motion on the fundamental domain of the modular group with the sides identified. The system is notable in that it is an exactly solvable system that is strongly chaotic: it is not only ergodic, but is also strong mixing. As such, it is an example of an Anosov flow. Artin's paper used symbolic dynamics for analysis of the system. The quantum mechanical version of Artin's billiard is also exactly solvable. The eigenvalue spectrum consists of a bound state and a continuous spectrum above the energy . The wave functions are given by Bessel functions.".
- Artin_billiard wikiPageID "5421591".
- Artin_billiard wikiPageRevisionID "442152895".
- Artin_billiard hasPhotoCollection Artin_billiard.
- Artin_billiard subject Category:Chaotic_maps.
- Artin_billiard subject Category:Ergodic_theory.
- Artin_billiard type Artifact100021939.
- Artin_billiard type ChaoticMaps.
- Artin_billiard type Creation103129123.
- Artin_billiard type Map103720163.
- Artin_billiard type Object100002684.
- Artin_billiard type PhysicalEntity100001930.
- Artin_billiard type Representation104076846.
- Artin_billiard type Whole100003553.
- Artin_billiard comment "In mathematics and physics, the Artin billiard is a type of a dynamical billiard first studied by Emil Artin in 1924. It describes the geodesic motion of a free particle on the non-compact Riemann surface where is the upper half-plane endowed with the Poincaré metric and is the modular group. It can be viewed as the motion on the fundamental domain of the modular group with the sides identified.".
- Artin_billiard label "Artin billiard".
- Artin_billiard sameAs m.0dl43j.
- Artin_billiard sameAs Q4801175.
- Artin_billiard sameAs Q4801175.
- Artin_billiard sameAs Artin_billiard.
- Artin_billiard wasDerivedFrom Artin_billiard?oldid=442152895.
- Artin_billiard isPrimaryTopicOf Artin_billiard.