Spectral quantization method

To uniquely associate the unusual behavior of the collision observables with the existence of a reactive resonance, it is necessary to theoretically characterize the quantum state that gives rise to the Lorentzian profile in the partial cross-sections. Using the method of spectral quantization (SQ), it is possible to extract a Seigert state wavefunction from time-dependent quantum wavepackets using the Fourier relation Eq. (21). The state obtained in this way for J = 0 is shown in Fig. 7 this state is localized in the collinear F — H — D arrangement with 3-quanta of excitation in the asymmetric stretch mode, and 0-quanta of excitation in the bend and symmetric stretch modes. If the state pictured in Fig. 7 is used as an initial (prepared) state in a wavepacket calculation, one observes pure... 

The spectral quantization (SQ) method, based on Eq. (6), has been found to yield good results for a number of simple chemical reactions. 

The chapter is organized as follows in the Section 7.2, we first present some details of spectral collocation method to develop space-time evolution of polarization plots for overall view of classical breathers in Section 7.2.1, then we present the mathematical model for TPBS parameters after second quantization in Section 7.2.2.1 and finally second quantization on K-G lattice is done with Bosonic field operators in Section 12.2.2. In Section 7.3, the results and discussion are also presented in three parts for the above three cases, hr Section 7.4, the conclusions are given. 

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