Squeezed states squeezing

A term that is nearly synonymous with complex numbers or functions is their phase. The rising preoccupation with the wave function phase in the last few decades is beyond doubt, to the extent that the importance of phases has of late become comparable to that of the moduli. (We use Dirac s terminology [7], which writes a wave function by a set of coefficients, the amplitudes, each expressible in terms of its absolute value, its modulus, and its phase. ) There is a related growth of literatm e on interference effects, associated with Aharonov-Bohm and Berry phases [8-14], In parallel, one has witnessed in recent years a trend to construct selectively and to manipulate wave functions. The necessary techifiques to achieve these are also anchored in the phases of the wave function components. This bend is manifest in such diverse areas as coherent or squeezed states [15,16], elecbon bansport in mesoscopic systems [17], sculpting of Rydberg-atom wavepackets [18,19], repeated and nondemolition quantum measurements [20], wavepacket collapse [21], and quantum computations [22,23], Experimentally, the determination of phases frequently utilizes measurement of Ramsey fringes [24] or similar" methods [25]. 

When the water film is squeezed out, the thick water layer is removed and the surfaces are separated by lubricant film of only molecular dimensions. Under these conditions, which are referred to as BL conditions, the very thin film of water is bonded to the substrate by very strong molecular adhesion forces and it has obviously lost its bulk fluid properties. The bulk viscosity of the water plays little or no part in the frictional behavior, which is influenced by the nature of the underlying surface. By comparing with the friction force of an elastomer sliding on a rigid surface in a dry state, Moore was able to conclude that for an elastomer sliding on a rigid surface under BL conditions, one can expect ... 

On the other hand, the increase in temperature decreases the inter-molecular interaction (hydrogen bonding) between water molecules, which lessens the squeezing-out effect for nonpolar solutes. At the supercritcal state, water exhibits an antiaqueous property. For example, water at high temperatures exhibits considerable, and sometimes complete, miscibility with nonpolar compounds. 

What law may be stated qualitatively, When you squeeze a gas, it gets smaller. Arts. Boyle s law. 

In combination with DFT calculations, the time- and depth-dependent phonon frequency allows to estimate the effective diffusion rate of 2.3 cm2 s 1 and the electron-hole thermalization time of 260 fs for highly excited carriers. A recent experiment by the same group looked at the (101) and (112) diffractions in search of the coherent Eg phonons. They observed a periodic modulation at 1.3 THz, which was much slower than that expected for the Eg mode, and attributed the oscillation to the squeezed phonon states [9]. 

It is possible to improve the error term in (54) to any desired order hN/2 by replacing (45) with its N-th iterate. That way the state that is propagated along classical trajectories is no longer given by the coherent state (52), but by a suitably squeezed version of it. These states possess the same localisation properties as (52), however, their explicit form looks considerably more awkward. 

To achieve better value for the money, and to squeeze waste out of the economy, Chinese industry will be made freer, and therefore, it is hoped, more productive. Yao Yilin, the new Chief planner (Vice Premier of the State Council and currently Chairman of the State Planning Commission), in a speech delivered on August 30, 1980 at the Fifth NPC, confirmed reports that experimental autonomy granted to selected factories during the past 18 months will be broadened to include all state enterprises. Factories are encouraged to adjust their output to market demands and purchase their necessary inputs in the open market—once state production and procurement targets are met. 

It was my turn to sing now, but I squeezed in one more question. If the Mass was a formal state gathering, how did a kid like Zorzi ever get admitted He couldn t have been a member of the Great Council at nineteen. ... 

The dipole moment measurement of scandium and europium complexes in solution showed the complexes to be planar. In the solid state, the values of metal atoms are squeezed out of... 

In a more complex situation than that of two electrons occupying each its orbital one can expect much more sophisticated interconnections between the total spin and two-electron densities than those demonstrated above. The general statement follows from the theorem given in [72] which states that no one-electron density can depend on the permutation symmetry properties and thus on the total spin of the wave function. For that reason the difference between states of different total spin is concentrated in the cumulant. If there is no cumulant there is no chance to describe this difference. This explains to some extent the failure of almost 40 years of attempts to squeeze the TMCs into the semiempirical HFR theory by extending the variety of the two-electron integrals included in the parameterization. 

A big rubber brain sits atop my computer monitor at work. I squeeze it from time to time to reduce stress. Sometimes I imagine myself as a brain-snatcher—the Chief Curator of a futuristic collection of famous brains. The brains are stored on shelves in a cavern, beneath the basement of my home. I walk down lamp-lit corridors filled with gray, wrinkled things stored in formalin-filled jars to prevent decay. Stalagmites support some of the shelves. The coolness of the cavern contributes to the brains remarkable state of preservation. 

Fermi s atomic pile was just a prototype. For manufacturing bomb plutonium, a plant was built at the tiny village of Hanford in Washington State. And so, drip by drip, the US war machine squeezed out its uranium-235 and plutonium, while the problem of how to build an atomic bomb was tackled by the physicists, chemists, and engineers at the Los Alamos complex in New Mexico. 

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