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5,063
The Complete Spectrum of the WN String
, 1992
"... We obtain the complete physical spectrum of the WN string, for arbitrary N. The WN constraints freeze N − 2 coordinates, while the remaining coordinates appear in the currents only via their energymomentum tensor. The spectrum is then effectively described by a set of ordinary Virasorolike string ..."
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We obtain the complete physical spectrum of the WN string, for arbitrary N. The WN constraints freeze N − 2 coordinates, while the remaining coordinates appear in the currents only via their energymomentum tensor. The spectrum is then effectively described by a set of ordinary Virasorolike string
Complete spectrum of multidepth corrugated circular waveguides
 G Hz ) R0 = p = 16.33 mm, δ = 0.1
, 1999
"... Abstract — The paper presents a rigorous fullwave analysis of the complete spectrum of multidepth corrugated circular waveguides. The propagation constants are determined from the classical eigenvalues of a canonical matrix eigenvalue problem instead of a complex determinant. The method is used to ..."
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Cited by 1 (1 self)
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Abstract — The paper presents a rigorous fullwave analysis of the complete spectrum of multidepth corrugated circular waveguides. The propagation constants are determined from the classical eigenvalues of a canonical matrix eigenvalue problem instead of a complex determinant. The method is used
Multiple reference states and complete spectrum of the Zn Belavin model with open boundaries
, 706
"... The multiple reference state structure of the Zn Belavin model with nondiagonal boundary terms is discovered. It is found that there exist n reference states, each of them yields a set of eigenvalues and Bethe Ansatz equations of the transfer matrix. These n sets of eigenvalues together constitute ..."
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the complete spectrum of the model. In the quasiclassic limit, they give the complete spectrum of the corresponding Gaudin model. PACS: 75.10.Pq; 04.20.Jb; 05.50.+q
LevelSpacing Distributions and the Airy Kernel
 COMMUNICATIONS IN MATHEMATICAL PHYSICS
, 1994
"... Scaling levelspacing distribution functions in the "bulk of the spectrum" in random matrix models of N x N hermitian matrices and then going to the limit N — » oo leads to the Fredholm determinant of the sine kernel sinπ(x — y)/π(x — y). Similarly a scaling limit at the "edge o ..."
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Cited by 430 (24 self)
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;quot;edge of the spectrum " leads to the Airy kernel [Ai(x) Ai(y) — Ai (x) Ai(y)]/(x — y). In this paper we derive analogues for this Airy kernel of the following properties of the sine kernel: the completely integrable system of P.D.E.'s found by Jimbo, Miwa, Mori, and Sato; the expression, in the case of a
The Complete Spectrum of the Area From Recoupling Theory in Loop Quantum Gravity
"... . We compute the complete spectrum of the area operator in the loop representation of quantum gravity, using recoupling theory. This result extends previous derivations, which did not include the "degenerate" sector, and agrees with the recently computed spectrum of the connectionreprese ..."
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. We compute the complete spectrum of the area operator in the loop representation of quantum gravity, using recoupling theory. This result extends previous derivations, which did not include the "degenerate" sector, and agrees with the recently computed spectrum of the connection
Complete Spectrum of Long Operators in N = 4 SYM at One Loop
, 2005
"... We construct the complete spectral curve for an arbitrary local operator, including fermions and covariant derivatives, of oneloop N = 4 gauge theory in the thermodynamic limit. This curve perfectly reproduces the Frolov–Tseytlin limit of the full spectral curve of classical strings on AdS5 × S 5 d ..."
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We construct the complete spectral curve for an arbitrary local operator, including fermions and covariant derivatives, of oneloop N = 4 gauge theory in the thermodynamic limit. This curve perfectly reproduces the Frolov–Tseytlin limit of the full spectral curve of classical strings on AdS5 × S 5
Complete spectrum of the infiniteU Hubbard ring using group theory
, 2014
"... We present a full analytical solution of the multiconfigurational stronglycorrelated mixedvalence problem corresponding to the NHubbard ring filled with N − 1 electrons, and infinite onsite repulsion. While the eigenvalues and the eigenstates of the model are known already, analytical determina ..."
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We present a full analytical solution of the multiconfigurational stronglycorrelated mixedvalence problem corresponding to the NHubbard ring filled with N − 1 electrons, and infinite onsite repulsion. While the eigenvalues and the eigenstates of the model are known already, analytical determination of their degeneracy is presented here for the first time. The full solution, including degeneracy count, is achieved for each spin configuration by mapping the Hubbard model into a set of Hückelannulene problems for rings of variable size. The number and size of these effective Hückel annulenes, both crucial to obtain Hubbard states and their degeneracy, are determined by solving a wellknown combinatorial enumeration problem, the necklace problem for N − 1 beads and two colors, within each subgroup of the CN−1 permutation group. Symmetryadapted solution of the necklace enumeration problem is finally achieved by means of the subduction of coset representation technique [S. Fujita, Theor. Chem. Acta 76, 247 (1989)], which provides a general and elegant strategy to solve the onehole infiniteU Hubbard problem, including degeneracy count, for any ring size. The proposed group theoretical strategy to solve the infiniteU Hubbard problem for N−1 electrons, is easily generalized to the case of arbitrary electron count L, by analyzing the permutation group CL and all its subgroups.
Results 1  10
of
5,063