Waves Weak force

A newly discovered, highly organized state of matter in which clusters of 20-30 component atoms are magnetically contained and adiabatically cooled to within 2-3 X 10 K of absolute zero. At this point, the motions of the contained atoms are overcome by very weak cohesive forces of the Bose-Einstein condensate. While of no apparent relevance to biochemical kinetics, the Bose-Einstein condensate represents one of the most perfect forms of self-assembly, inasmuch as aU atoms within the condensate share identical Schrodinger wave equations. 

In the book of Zel dovich Kompaneets (Ref 45a), the following subjects related to detonation pressure are discussed p 12-13 (Shock compression and isentropic compression) 14 (Static pressure) 27 (Pressure in weak shock waves) 31 (Pressure in shock wave of an ideal gas) 92-8 (Formation of an overcompressed detonation wsve on forcing the detonation in a gas to pass from a large pipe to a narrow one) ... 

The expectation value of the property A at the space-time point (r, t) depends in general on the perturbing force F at all earlier times t — t and at all other points r in the system. This dependence springs from the fact that it takes the system a certain time to respond to the perturbation that is, there can be a time lag between the imposition of the perturbation and the response of the system. The spatial dependence arises from the fact that if a force is applied at one point of the system it will induce certain properties at this point which will perturb other parts of the system. For example, when a molecule is excited by a weak field its dipole moment may change, thereby changing the electrical polarization at other points in the system. Another simple example of these nonlocal changes is that of a neutron which when introduced into a system produces a density fluctuation. This density fluctuation propagates to other points in the medium in the form of sound waves. 

When the two dipoles occupy symmetrical positions in the cell, as for instance in the case of the anthracene crystal, (1.70) may be further simplified by introducing symmetric and antisymmetric states for all directions of K, with respect to the assumed symmetry. Then (1.70) reduces to 2 x 2 determinants for the two (symmetric and antisymmetric) transitions. The solution of (1.70) leads to four values of co for each wave vector K, i.e. to four excitonic branches. In general, the crystal field is assumed weak compared to intramolecular forces, so that coupling between excitonic branches may be neglected. To a first approximation, each of the excitonic branches, symmetric and antisymmetric, is given by the equation... 

Instead of forcing the data to conform to the d-wave picture, we take the approach that the deviations from. v-wave behavior are due to quantifiable phenomena, most notably temperature-dependent fhixon de-pinning. Since the maximum temperature for the data acquired at each held is below the melting curve (see Fig. 4 of Ref. 11), the vortex lattice is subject to pinning, as occurs in very clean crystals where the flux lattice becomes locked-in by weak pinning at oxygen vacancies and/or other defects. 

---