The maximal Lyapunov exponent is determined numerically for two classical unequal-mass interacting particles inside a circular billiard and subjected to a static magnetic field. A Yukawa potential is used for the interaction between the particles. Transitions from short to long interaction ranges an
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Quantum chaos for two interacting particles confined to a circular billiard
โ Scribed by E.P.S. Xavier; M.C. Santos; L.G.G.V. Dias da Silva; M.G.E. da Luz; M.W. Beims
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 196 KB
- Volume
- 342
- Category
- Article
- ISSN
- 0378-4371
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We study the model of two interacting particles moving in a 1D box, paying main attention to the quantum-classical correspondence for the average shape of quantum eigenstates and for the local density of states (LDOS). We show that if the classical motion is chaotic, in a deep semi-classical region