The Use of Coherent States in the Theory of Quantum Crystals

1972 ◽  
Vol 50 (16) ◽  
pp. 1815-1825 ◽  
Author(s):  
J. Noolandi ◽  
J. Van Kranendonk

The coherent state formalism is applied to the calculation of the phonon frequencies in quantum crystals. The normal mode frequencies are determined using an expansion in powers of the displacements of the centers of the single-particle distributions rather than of the particles. The known results of the RPA and of Meissner's inversion of the displacement–displacement correlation function are derived in a simple way, and the connection with Feynman's method for liquid helium is discussed. The method of constant short-range correlations is introduced and compared with the recent work of Koehler and Werthamer.

1985 ◽  
Vol 63 (4) ◽  
pp. 466-471 ◽  
Author(s):  
S. Ahmad ◽  
H. Ahrar ◽  
M. Zafar ◽  
M. Shafi

Results on the single particle rapidity distributions and rapidity–gap correlations among hadrons produced in 50 GeV/c π−-meson and 400 GeV/c proton collisions with emulsion nuclei have been investigated. Study of the rapidity distributions reveals that the projectile fragmentation is mass independent and the target fragmentation depends upon the target mass. From the rapidity–gap distributions, we find evidence for short-range correlations that indicate that the secondary particles are produced via cluster formations and each cluster should consist of at least three charged particles.


2020 ◽  
Vol 5 ◽  
pp. 158
Author(s):  
G. A. Lalazissis ◽  
S. E. Massen ◽  
C. P. Panos

The influence of state dependent short range correlations on the occupation numbers of the single particle shell model orbits of the doubly closed shell nuclei 16O and 40Ca is examined. The study shows that the effect of the state dependence of the short range correlations is rather small. The total depletion of the nuclear Fermi sea changes slightly compared with the one calculated by considering state independent short range correlations.


1975 ◽  
Vol 53 (13) ◽  
pp. 1292-1298 ◽  
Author(s):  
K. Srinivasa Rao ◽  
V. Devanathan

Short range correlations in nuclei are introduced into the nuclear wave function using a unitary operator whose form was originally suggested by Villars. Their effect on positive pion photoproduction from 16O is found to be small for the correlation function we have assumed.


2008 ◽  
Vol 59 (11) ◽  
Author(s):  
Vasile V. Morariu

The length of coding sequence (CDS) series in bacterial genomes were regarded as a fluctuating system and characterized by the methods of statistical physics. The distribution and the correlation properties of CDS for 47 genomes were investigated. The distribution was found to be approximated by an exponential function while the correlation analysis revealed short range correlations.


1970 ◽  
Vol 48 (23) ◽  
pp. 2804-2808 ◽  
Author(s):  
K. F. Chong ◽  
Y. Nogami ◽  
E. Satoh

The single-particle-energy spectrum of a Λ particle in nuclear matter is examined in the independent-pair approximation, by assuming nonlocal separable potentials for the ΛN interaction. Effects of short-range repulsion in the ΛN interaction on the Λ binding are also examined in terms of separable potentials of rank two.


2000 ◽  
Vol 14 (16) ◽  
pp. 609-618
Author(s):  
V. A. POPESCU

Signal-to-quantum noise ratio for quantum current in mesoscopic Josephson junction of a circular superconducting ring can be improved if the electromagnetic field is in a successive squeezed coherent state. The mesoscopic Josephson junctions can feel the difference between the successive squeezed coherent states and other types of squeezed coherent states because their current–voltage Shapiro steps are different. We compare our method with another procedure for superposition of two squeezed coherent states (a squeezed even coherent state) and consider the effect of different large inductances on the supercurrent.


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