Zobrazeno 1 - 10
of 117
pro vyhledávání: '"H.-J. Sommers"'
Autor:
H. J. Sommers, Yan V. Fyodorov
Publikováno v:
Journal of Physics A: Mathematical and General. 36:3303-3347
The paper discusses progress in understanding statistical properties of complex eigenvalues (and corresponding eigenvectors) of weakly non-unitary and non-Hermitian random matrices. Ensembles of this type emerge in various physical contexts, most imp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cf2e633eb07a71b9ecf1b3ae9719f4b2
https://doi.org/10.1088/0305-4470/36/12/326
https://doi.org/10.1088/0305-4470/36/12/326
Autor:
H. J. Sommers, Yan V. Fyodorov
Publikováno v:
Journal of Experimental and Theoretical Physics Letters. 72:422-426
Random contractions (sub-unitary random matrices) appear naturally when considering quantized chaotic maps within a general theory of open linear stationary systems with discrete time. We analyze statistical properties of complex eigenvalues of gener
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f5e58651027fe54ef5de167e709ddf49
https://doi.org/10.1134/1.1335121
https://doi.org/10.1134/1.1335121
Autor:
Yan V. Fyodorov, H. J. Sommers
Publikováno v:
Journal of Experimental and Theoretical Physics Letters. 63:1026-1030
We derive the explicit expression for the distribution of resonance widths in a chaotic quantum system coupled to continua via M equivalent open channels. It describes a crossover from the $\chi^2$ distribution (regime of isolated resonances) to a br
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e588d57dc726738e267d0af403f24824
https://doi.org/10.1134/1.567120
https://doi.org/10.1134/1.567120
Autor:
H. J. Sommers, Andrea Crisanti
Publikováno v:
Journal de Physique I. 5:805-813
We analyze the Thouless-Anderson-Palmer (TAP) approach to the spherical p-spin spin glass model in zero external field. The TAP free energy is derived by summing up all the relevant diagrams for N → ∞ of a diagrammatic expansion of the free energ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::90a5ecae1558a409d92022ce76d2a84d
https://doi.org/10.1051/jp1:1995164
https://doi.org/10.1051/jp1:1995164
Publikováno v:
Nuclear Physics A. 582:223-256
We investigate a model of chaotic resonance scattering based on the random matrix approach. The hermitian part of the effective hamiltonian of resonance states is taken from the GOE whereas the amplitudes of coupling to decay channels are considered
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7e67acd130557a8c33f7aa3aa62208c9
https://doi.org/10.1016/0375-9474(94)00460-5
https://doi.org/10.1016/0375-9474(94)00460-5
Autor:
H.-J. Sommers, C. Kwon
Publikováno v:
Physical Review B. 48:12834-12841
We consider a spin-glass system with two interacting replicas. In the spin-glass phase we derive the long-time behavior within the Sompolinsky scheme. There are infinitely many spin-glass solutions, which reflect the infinite degeneracy and ultrametr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::208536f239ff414a97e4b6290ac41b1b
https://doi.org/10.1103/physrevb.48.12834
https://doi.org/10.1103/physrevb.48.12834
Publikováno v:
Zeitschrift f�r Physik B Condensed Matter. 92:257-271
The relaxational dynamics for local spin autocorrelations of the sphericalp-spin interaction spin-glass model is studied in the mean field limit. In the high temperature and high external field regime, the dynamics is ergodic and similar to the behav
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::657bf48c5b273547253b2fe44df8aec4
https://doi.org/10.1007/bf01312184
https://doi.org/10.1007/bf01312184
Publikováno v:
Zeitschrift f�r Physik B Condensed Matter. 88:359-370
We present analytical and numerical results for the level density of a certain class of random non-Hermitian matrices ℋ=H+iГ. The conservative partH belongs to the Gaussian orthogonal ensemble while the damping piece Г is quadratic in Gaussian ra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::99d00cc2d532a5bcc788d0267dca1725
https://doi.org/10.1007/bf01470925
https://doi.org/10.1007/bf01470925
Autor:
Andrea Crisanti, H. J. Sommers
Publikováno v:
Zeitschrift f�r Physik B Condensed Matter. 87:341-354
The static properties of the sphericalp-spin interaction spin glass model are calculated using the replica method. It is shown that within the Parisi scheme the most general solution is the one-step replica symmetry breaking. The transition from the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5f8fd0443b42e8547619efa74e35226a
https://doi.org/10.1007/bf01309287
https://doi.org/10.1007/bf01309287
Autor:
H. J. Sommers, Nils Lehmann
Publikováno v:
Physical Review Letters. 67:941-944
Completing Ginibre's work we determine the joint probability density of eigenvalues in a Gaussian ensemble of real asymmetric matrices, which is invariant under orthogonal transformations. The symmetry parameter r may vary from -1 (antisymmetric ense
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::03b27cd6cd306e2100250da32d313d25
https://doi.org/10.1103/physrevlett.67.941
https://doi.org/10.1103/physrevlett.67.941