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  • 1
    Electronic Resource
    Electronic Resource
    Symmetric Jack polynomials from non-symmetric theory (1999)
    Springer
    Annals of combinatorics 3 (1999), S. 159-170 
    Details
    ISSN: 0219-3094
    Keywords: 33C80 ; Jack polynomials ; symmetric functions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We show how a number of fundamental properties of the symmetric and anti-symmetric Jack polynomials can be derived from knowledge of the corresponding properties of the nonsymmetric Jack polynomials. These properties include orthogonality relations, normalization formulas, a specialization formula and the evaluation of a proportionality constant relating the anti-symmetric Jack polynomials to a product of differences multiplied by the symmetric Jack polynomials with a shifted parameter.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01608781
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  • 2
    Electronic Resource
    Electronic Resource
    Exact results and universal asymptotics in the Laguerre random matrix ensemble (1994)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 35 (1994), S. 2539-2551 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: For various values of the parameters in the Laguerre random matrix ensemble, the distribution of the smallest eigenvalue and the scaled n-level distribution function are calculated exactly in terms of generalized hypergeometric functions. In certain cases these functions are expressed as multidimensional integrals, from which asymptotic formulas are calculated and predictions of universal behavior verified.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.530883
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  • 3
    Electronic Resource
    Electronic Resource
    The ideally polarizable interface: The metallic boundary limit (1985)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 83 (1985), S. 2366-2367 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The model of a classical one-component plasma in the vicinity of a metallic hard wall is shown to be a limiting case of an ideally polarizable interface.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.449278
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  • 4
    Electronic Resource
    Electronic Resource
    Density and correlation functions for the two-component plasma at Γ=2 near a metal wall (1991)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 95 (1991), S. 4545-4549 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The density profiles and correlation functions are computed exactly, at the special coupling Γ=2, for the two-dimensional two-component plasma separated by an impermeable membrane of width ε from a metal wall. In a grand canonical formalism, the Hamiltonian used includes the image forces due to the metal wall. This provides a direct calculation of results obtained previously as a limiting case of the ideally polarizable interface [F. Cornu and B. Jancovici, J. Chem. Phys. 90, 2444 (1989)], and extends those results.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.461745
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  • 5
    Electronic Resource
    Electronic Resource
    Exact calculation of the ground-state single-particle Green's function for the 1/r2 quantum many-body system at integer coupling (1995)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 36 (1995), S. 86-96 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The ground-state single-particle Green's function describing hole propagation is calculated exactly for the 1/r2 quantum many-body system at integer coupling. The result is in agreement with a recent conjecture of Haldane. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.531328
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  • 6
    Electronic Resource
    Electronic Resource
    Complex Wishart matrices and conductance in mesoscopic systems: Exact results (1994)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 35 (1994), S. 6736-6747 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: It is noted that the hypothesis of independent random complex elements for the off diagonal blocks (say, M2 and M3) of the transfer matrix describing conductance in a mesoscopic wire allows the eigenvalue distribution of the matrix product M3°M3 (or M2°M2) to be computed exactly. Exact expressions, in terms of double Wronskian and Toeplitz determinants, are derived for the distribution of the smallest and second smallest eigenvalue of this and similar random matrix products. © 1994 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.530639
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  • 7
    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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  • 8
    Electronic Resource
    Electronic Resource
    The two-dimensional one-component plasma at Γ=2: Behavior of correlation functions in strip geometry (1983)
    Springer
    Journal of statistical physics 31 (1983), S. 129-140 
    Details
    ISSN: 1572-9613
    Keywords: Coulomb systems ; plasmas ; surface properties ; strip geometry ; correlations ; sum rules
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract This paper considers a strip of two-dimensional one-component plasma of particles of chargeq at a temperatureT such that the coupling constant be Γ=q2/kBT = 2. The strip is of finite width and infinite length and bears charge densities on either edge. Inside the strip and on one side, the dielectric constant is 1; on the other side of the strip, it may be either 1 or 0 (in the latter case, image forces play an important role). The free energy as well as the one-particle and two-particle distribution functions can be exactly computed. They obey a variety of sum rules reflecting the Coulombic behavior of the system. At large separations the truncated two-particle distribution function behaves with algebraically decaying oscillations. The strip of finite width in fact is correlated along the strip much as a one-dimensional system is correlated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01010926
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  • 9
    Electronic Resource
    Electronic Resource
    Charged rods in a periodic background: A solvable model (1986)
    Springer
    Journal of statistical physics 42 (1986), S. 871-894 
    Details
    ISSN: 1572-9613
    Keywords: Kosterlitz-Thouless phase transition ; exact solvability ; one-component plasma
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The one-component Coulomb system with logarithmic potential in a periodic background is considered. In one dimension, when the background has the same period as the average interparticle spacing, the system is exactly solvable for three values of the coupling constant. The exact solution exhibits insulating-conducting phase transitions. An heuristic argument is presented which predicts the phase diagram for this system.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01010450
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  • 10
    Electronic Resource
    Electronic Resource
    The two-dimensional one-component plasma at Γ=2: The semiperiodic strip (1983)
    Springer
    Journal of statistical physics 33 (1983), S. 13-22 
    Details
    ISSN: 1572-9613
    Keywords: Long-range order ; semiperiodic boundary conditions ; two-dimensional-one-component plasma
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The one-component two-dimensional plasma is studied in a strip of finite width, replicated periodically parallel to the long axis of the strip. Exact results for the one- and two-particle distribution functions are found at coupling Γ=q 2/kT =2. The system is inhomogeneous: the one- and two-particle distribution functions show long-range order.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01009744
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