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  • 1
    Electronic Resource
    Electronic Resource
    van der Waals energies of cylindrical and spherical single layer systems (1993)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 99 (1993), S. 8168-8182 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The van der Waals energies for cylindrical and spherical single layer systems are obtained, in the nonretarded limit, from the heuristic procedure of summing the normal surface electromagnetic mode frequencies. Both the zero and finite temperature results are presented. The geometrical dependence of the energies for the cylindrical and spherical systems is shown to satisfy inequalities involving simple model dielectric configurations. The exact energies have a first-order correction to the planar case, for a large inner radius in comparison to the film thickness, which is proportional to the mean curvature with a new Hamaker coefficient. It is conjectured that this applies to arbitrarily shaped smooth films with small curvature. In the two-body summation approximation the energies factorize into a geometrical factor, for which exact analytical forms are found, and the standard Hamaker constant. The effect of geometry on the van der Waals energy is shown to be important, in that the effective Hamaker constants for curved films of inner radius r and layer thickness w rises rapidly at r∼2.6w for the cylindrical and at r∼1.8w for the spherical system .
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.465644
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  • 2
    Electronic Resource
    Electronic Resource
    The Lanczos algorithm for extensive many-body systems in the thermodynamic limit (1999)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 40 (1999), S. 4975-4994 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: We establish rigorously the scaling properties of the Lanczos process applied to an arbitrary extensive many-body system which is carried to convergence n→∞ and the thermodynamic limit N→∞ taken. In this limit the solution for the limiting Lanczos coefficients are found exactly and generally through two equivalent sets of equations, given initial knowledge of the exact cumulant generating function. The measure and the orthogonal polynomial system associated with the Lanczos process in this regime are also given explicitly. Some important representations of these Lanczos functions are given, including Taylor series expansions, and theorems controling their general properties are proven. © 1999 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.533010
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  • 3
    Electronic Resource
    Electronic Resource
    Electrical and magnetic phases of the layered perovskite Ca4−xLaxMn3O10 (1998)
    Woodbury, NY : American Institute of Physics (AIP)
    Applied Physics Letters 72 (1998), S. 853-855 
    Details
    ISSN: 1077-3118
    Source: AIP Digital Archive
    Topics: Physics
    Notes: We analyze magnetic susceptibility, resistivity and neutron diffraction measurements of the electron doped triple layered perovskite, or Ruddlesden–Popper class of manganates Ca4−xLaxMn3O10. Near the undoped region a paramagnetic insulator to antiferromagnetic insulator transition is observed with decreasing temperature and a concomitant change in the conduction process from thermal activation to Mott-type hopping. For larger doping, with a Mn valence of 3.97, there is a transition from the paramagnetic insulator to a canted antiferromagnetic insulator which exhibits a more dramatic change in the conduction mechanism. © 1998 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.120915
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  • 4
    Electronic Resource
    Electronic Resource
    Exact Wigner Surmise Type Evaluation of the Spacing Distribution in the Bulk of the Scaled Random Matrix Ensembles (2000)
    Springer
    Letters in mathematical physics 53 (2000), S. 195-200 
    Details
    ISSN: 1573-0530
    Keywords: random matrices ; Painlevé transcendents
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract Random matrix ensembles with orthogonal and unitary symmetry correspond to the cases of real symmetric and Hermitian random matrices, respectively. We show that the probability density function for the corresponding spacings between consecutive eigenvalues can be written exactly in the Wigner surmise type form a(s)e−b(s) for a simply related to a Painlevé transcendent and b its anti-derivative. A formula consisting of the sum of two such terms is given for the symplectic case (Hermitian matrices with real quaternion elements).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1011074616607
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  • 5
    Electronic Resource
    Electronic Resource
    Plaquette expansion proof and interpretation (1994)
    Springer
    The European physical journal 95 (1994), S. 531-539 
    Details
    ISSN: 1434-6036
    Keywords: 71.10.+x ; 05.30.-d ; 05.50.+q ; 11.15.Tk
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The plaquette expansion, a general non-perturbative method for calculating the properties of lattice Hamiltonian systems, is established up to the first two orders for an arbitrary system. This method employs an expansion of the Lanczos coefficients, the tridiagonal Hamiltonian matrix elements or equivalently the continued fraction coefficients of the resolvent, in a descending series in the size of the system. The coefficients of this series are formed from the low order cumulants or connected Hamiltonian moments. The lowest order approximation in the plaquette expansion corresponds to a gaussian model which is a consequence of the central limit theorem. The first nontrivial order yields a model with a spectrum on a bounded energy interval, becoming asymptotically uniform in the thermodynamic limit.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01313364
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