Vector coherent states for nanoparticle Hamiltonians

作者: Isiaka Aremua , Mahouton Norbert Hounkonnou

DOI:

关键词:

摘要: The first part of this work deals with a formalism vector coherent states construction for system $M$ Fermi-type modes associated $N$ bosonic modes. Then follows generalization to Hamiltonian describing the translational motion center mass nanoparticle. latter gives rise new mechanism electronic energy relaxation in nanocrystals, intensively studied today condensed matter physics. Finite degeneracies involved systems are also investigated. defined satisfy relevant mathematical properties continuity, resolution identity, temporal stability and action identity.

参考文章(16)
Ho-Soon Yang, Michael R. Geller, W. M. Dennis, Noninertial mechanism for electronic energy relaxation in nanocrystals Physical Review B. ,vol. 62, pp. 9398- 9401 ,(2000) , 10.1103/PHYSREVB.62.9398
S Twareque Ali, Miroslav Engli, Jean-Pierre Gazeau, Vector coherent states from Plancherel's theorem, Clifford algebras and matrix domains Journal of Physics A. ,vol. 37, pp. 6067- 6089 ,(2004) , 10.1088/0305-4470/37/23/008
F. Zaccaria, G. Marmo, V. I. Man'ko, S. Solimeno, PHYSICAL NONLINEAR ASPECTS OF CLASSICAL AND QUANTUM q-OSCILLATORS International Journal of Modern Physics A. ,vol. 08, pp. 3577- 3597 ,(1993) , 10.1142/S0217751X93001454
E. Duval, A. Boukenter, B. Champagnon, Vibration eigenmodes and size of microcrystallites in glass: Observation by very-low-frequency Raman scattering. Physical Review Letters. ,vol. 56, pp. 2052- 2055 ,(1986) , 10.1103/PHYSREVLETT.56.2052
Y. Bérubé-Lauzière, V. Hussin, L. M. Nieto, Annihilation operators and coherent states for the Jaynes-Cummings model. Physical Review A. ,vol. 50, pp. 1725- 1731 ,(1994) , 10.1103/PHYSREVA.50.1725
Ho-Soon Yang, S.P Feofilov, Diane K Williams, Jennifer C Milora, Brian M Tissue, R.S Meltzer, W.M Dennis, One phonon relaxation processes in Y2O3 : Eu3+ nanocrystals Physica B-condensed Matter. ,vol. 263, pp. 476- 478 ,(1999) , 10.1016/S0921-4526(98)01413-6
Daniel T. Simon, Michael R. Geller, Electron-phonon dynamics in an ensemble of nearly isolated nanoparticles Physical Review B. ,vol. 64, pp. 115412-1- 115412-5 ,(2001) , 10.1103/PHYSREVB.64.115412
M Novaes, J P Gazeau, Multidimensional generalized coherent states Journal of Physics A. ,vol. 36, pp. 199- 212 ,(2003) , 10.1088/0305-4470/36/1/313
Francisco J García-Vidal, None, Nano-optics: Orient yourself Nature Photonics. ,vol. 1, pp. 13- 14 ,(2007) , 10.1038/NPHOTON.2006.59
F. Bagarello, S. Twareque Ali, Some physical appearances of vector coherent states and coherent states related to degenerate Hamiltonians Journal of Mathematical Physics. ,vol. 46, pp. 053518- ,(2005) , 10.1063/1.1901343