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For a single membrane of stiffness κ fluctuating between two planar walls of distance d , we calculate analytically the pressure law p= π 2 128 k B 2 T 2 κ(d/2) 3 . The prefactor π 2 /128∼0.077115… is in very good agreement with results from Monte Carlo simulations 0.079±0.002.
We exhibit a specific implementation of the creation of geometrical phase through the state-space evolution generated by the dynamic quantum Zeno effect. That is, a system is guided through a closed loop in Hilbert space by means a sequence of closely spaced projections leading to a phase...
The two-body collision induced light scattering spectra of pure mercury vapor have been computed at different temperatures. The spectra consist of several contributions: purely translational scattering due to the transitions between free–free states and the scattering due to bound dimers. The...
Within the fermion-spin theory, the physical properties of the electron pairing state in copper oxide materials are discussed. According to the common form of the electron Cooper pair, it is shown that there is a coexistence of the electron Cooper pair and magnetic short-range correlation, and...
Under certain assumptions it is shown that the decay of level 2 of a three-level system onto level 1 is slowed down because of the further decay of level 1 onto level 0. It is argued that this phenomenon may be interpreted as a consequence of the quantum Zeno effect. The reason why this may be...
The Lie–Trotter formula e A ̂ + B ̂ = lim N→∞ e A ̂ /N e B ̂ /N N is of great utility in a variety of quantum problems ranging from the theory of path integrals and Monte Carlo methods in theoretical chemistry, to many-body and thermostatistical calculations. We generalize it for the q...
We show that the Frieden and Soffer's Extreme Physical Information principle, applied to a non-extensive statistical scenario, yields solutions to several well-known classical dynamical problems.
The magnetic flux in superconductors is quantized in units of hc /2| e | rather than hc /| e | observed in the Aharonov–Bohm effect. Such a result is widely recognized as an obvious evidence of electron pairing. It has been believed that electron pairs (Cooper's pairs) with charge 2 e...
Using the Pegg–Barnett formalism we obtain phase probability distributions of the even and odd nonlinear coherent states. These distributions are then used to examine whether or not the even and odd nonlinear coherent states exhibit number/phase squeezing. We also examine whether these states...
General results concerning suppression of homoclinic (and heteroclinic) chaos are derived on the basis of a Melnikov analysis for damped, nonlinear, and low-dimensional oscillators subjected to two weak harmonic excitations (one chaos-inducing and the other chaos-suppressing). Analytical...
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