Partial dynamical symmetries
نویسندگان
چکیده
منابع مشابه
Partial Dynamical Symmetries in Nuclei
When a dynamical symmetry occurs all properties of the system (e.g. energy eigenvalues) and wave functions are known analytically thus providing clarifying insights into complex dynamics. The majority of nuclei, however, do not satisfy the predictions of exact dynamical symmetries. Instead, one often finds that only a subset of states fulfill the symmetry while other states do not. In such circ...
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Explicit forms of IBM Hamiltonians with a generalized partial dynamical O(6) symmetry are presented and compared with empirical data in 162Dy. A dynamical symmetry corresponds to a situation in which the Hamiltonian is written in terms of the Casimir operators of a chain of nested algebras G1 ⊃ G2 ⊃ . . . ⊃ Gn , (1) and has the following properties. (i) Solvability. (ii) Quantum numbers related...
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It is shown that several Hamiltonian systems possessing dynamical or hidden symmetries can be realized within the framework of Nambu’s generalized mechanics. Among such systems are the SU(n)-isotropic harmonic oscillator and the SO(4)-Kepler problem. As required by the formulation of Nambu dynamics, the integrals of motion for these systems necessarily become the so-called generalized Hamiltoni...
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In the present work we study dynamical space-time symmetries in noncommutative relativistic theories by using the minimal canonical extension of the Doplicher, Fredenhagen and Roberts algebra. Our formalism is constructed in an extended space-time with independent degrees of freedom associated with the object of noncommutativity θ . In this framework we consider theories that are invariant unde...
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ژورنال
عنوان ژورنال: Progress in Particle and Nuclear Physics
سال: 2011
ISSN: 0146-6410
DOI: 10.1016/j.ppnp.2010.08.001