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11th International Congress on Catalysis - 40th Anniversary. by Hightower J.W., et al. (eds.)

By Hightower J.W., et al. (eds.)

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One o f t h e m o s t i n t Boson Model concerns i t s s p a c e . The u n d e r s t a n d i n g l i k e f e a t u r e s a r i s e from i n f a c t , a way t o r e l a t e tion. eresting aspects of the Interacting connections with the underlying fermion o f t h e mechanism through which boson­ effective nuclear hamiltonians provides, c o l l e c t i v e s p e c t r a t o t h e f e r m i o n mo­ Since t h e o r i g i n a l study o f Otsuka, Arima and I a c h e l l o (OTS78), much w o r k h a s b e e n c a r r i e d o u t o n t h i s s u b j e c t .

Iachello, see Professor Iachello's contribution in this volume. 2. A. M. Perelomov, Commun. Math. Phys. 26, 222 (1972). 3. F. T. Arecchi, E. Courtens, R. Gilmore and H. Thomas, Phys. Rev. A6, 2211(1972); R. Gilmore, Rev. Mex. de Fisica 23, 143 (1974). 4. J. N. Ginocchio and M. W. Kirson, Phys. Rev. Lett. 44, 1744(1980); A. E. L Dieperink, O. Scholten and F. Iachello, Phys. Rev. Lett 44, 1747(1980); D. H. Feng, R. Gilmore and S. R. Deans, Phys. Rev. C23, 1254(1981). 5. COHERENT STATES, ed. by J.

Our model makes p three assumptions, (a) The dominant parts of the pairing interaction V and quadrupole. (b) The two body matrix elements of V ( ) p q p are monopole are proportional to the degeneracy of each major valence shell, (c) Terms involving the single particle energies and the multipole interactions are approximated so that the Hamiltonian is a N U C L E I O F F T H E LINE O F STABILITY 30 function of the generators of a tractable Lie algebra. Clearly, the first assumption is a result of the successes of the IBM which we have used as input physics.

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