Shape vibrations

In the 1950s, many basic nuclear properties and phenomena were qualitatively understood in terms of single-particle and/or collective degrees of freedom. A hot topic was the study of collective excitations of nuclei such as giant dipole resonance or shape vibrations, and the state-of-the-art method was the nuclear shell model plus random phase approximation (RPA). With improved experimental precision and theoretical ambitions in the 1960s, the nuclear many-body problem was born. The importance of the ground-state correlations for the transition amplitudes to excited states was recognized. 

The Coriolis meter is commonly used to measure liquid flow rates. The coriolis meter utilizes the coriolis effect to directly measure the mass flow rate of liquids. The meter is equipped with a specially shaped vibrating tube through with the liquid flows. When a fluid flows through the tube it alters the manner in which the tube vibrates. The mass flow rate of the fluid is then... 

Ye, X. Demidov, A. Rosea, F. Wang, W. Kumar, A. lonascu, D. Zhu, L. Barrick, D. Wharton, D. Champion, R M., Investigations of heme protein absorption line shapes, vibrational relaxation, and resonance Raman scattering on ultrafast time scales. J. Phys. Chem. A 2003, 107, 8156-8165. 

All these data suggest that the lowest states of even-even spherical nuclei cannot be described properly as two (quasi)particle or other single-particle states. These properties are characteristic of a quantum-mechanical vibrator, i.e., an incompressible liquid drop capable of shape vibration. 

Shaping Vibrational Wavepackets in the Excited State to Optimize Stabilization into Deeply Bound Levels of the Lower State. 

Section 7.4 presents the possibility of shaping vibrational wavepackets in the excited state, in view of a focusing effect that optimizes the formation of stable ground-state molecules in a pump-dump experiment. 

SHAPING VIBRATIONAL WAVEPACKETS IN THE EXCITED STATE TO OPTIMIZE STABILIZATION INTO DEEPLY BOUND LEVELS OF THE LOWER STATE... 

The waves, and relative energies for = 1, 2, 3, 4 are shown in Fig. 1.5. Note than in addition to the nodes at the ends of the wave, the wave shapes themselves can generate nodes at various points on the wave in this case the number of these internal nodes is given by n— 1. The actual wave shape (vibration of a string) is not limited to only one of these fundamental mode vibrations, and it may be much more complex but all vibrations, however complex, can be represented by the addition or subtraction, that is, a superposition or linear combination, of different fundamental modes. By the reverse process, any complex waveform can be... 

Leafy, large flat shapes Vibrated bed Indirect rotary... 

How to Obtain Intensities and Band Shapes Vibrational Contributions... 

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