Beʾer Avraham : ... ḥidushe halakhot ʻal kol ha-Talmud ... ḥeleḳ rishon ʻal Berakhot ṿe-seder Moʻed /

Mode of access: Internet.

[Mahalakh shevile ha-daʻat /

T.p. in red and black.

Rabbinical manuscripts of Judah Monis, ca. 1700s

This leather-bound volume contains ten handwritten Hebrew texts presumably compiled by Judah Monis in the early 18th century. The pieces range from three to 150 pages on different sized leaves and appear to be in multiple hands. The last page of the volume has the struck-through inscription, "Judah Monis' Book" and accompanies a 44-page text. The texts are unattributed and undated, but have been identified as transcriptions of cabalistic writings and include a short biography of Isaac Luria (1533-1572) and extracts from the work of Luria, Hayyim ben Joseph Vital, Jacob ben Hayyim Zemah, Abraham ben Isaac of Granada, and Naphtali Bachrach. The transcriptions appear to be unattributed and undated.

Otsar ha-shorashim ʻa.p. Ben-Zeʼev be-ḥamishah ḥalaḳim.

Vol. 1 has added t.p.: Hebräisch und chaldäisches Woerterbuch vel verbis, J. L. Bensew. Ozar haschoraschim in 5 Theilen.

Sefer Ben ha-melekh ṿeha-nazir, ʻim perush maspiḳ. Ṿe-ʻatah nitṿasef be-sofo Sefer Milḥemet ha-ḥokhmah ṿeha-ʻosher,

The Hebrew version is that of Abraham ben Samuel Ḥasdai, ha-Levi.

Ashmat Shomron : nikhbadot medubar bo bi-yeme Aḥaz melekh Yehudah u-Feḳaḥ ben Remalyahu ṿe-Hosheʻa ben Elah malkhe Yiśraʼel /

Mode of access: Internet.

Sefer Ben ha-melekh ṿeha-nazir /

Mode of access: Internet.

Mefiboshet ben Yehonatan... : teshuvah...ʻal igeret Elʾasaf ibn Harun... /

Introd. in Yiddish.

KINETICS VERSUS HYDRODYNAMICS: GENERALIZATION OF LANDAU/COOPER-FRYE PRESCRIPTION FOR FREEZE-OUT

The problem of spectra formation in hydrodynamic approach to A + A collisions is considered within the Boltzmann equations. It is shown analytically and illustrated by numerical calculations that the particle momentum spectra can be presented in the Cooper-R-ye form despite freeze-out is not sharp and has the finite temporal width. The latter is equal to the inverse of the particle collision rate at points (t(sigma) (r, p), r) of the maximal emission at a fixed momentum p. The set of these points forms the hypersurfaces t(sigma)(r,p) which strongly depend on the values of p and typically do not enclose completely the initially dense matter. This is an important difference from the standard Cooper-Frye prescription (CFp), with a common freeze-out hypersurface for all p, that affects significantly the predicted spectra. Also, the well known problem of CFp as for negative contributions to the spectra from non-space-like parts of the freeze-out hypersurface is naturally eliminated in this improved prescription.

Higher charges and regularized quantum trace identities in su(1,1) Landau-Lifshitz model

We solve the operator ordering problem for the quantum continuous integrable su(1,1) Landau-Lifshitz model, and give a prescription to obtain the quantum trace identities, and the spectrum for the higher-order local charges. We also show that this method, based on operator regularization and renormalization, which guarantees quantum integrability, as well as the construction of self-adjoint extensions, can be used as an alternative to the discretization procedure, and unlike the latter, is based only on integrable representations. (C) 2010 American Institute of Physics. [doi:10.1063/1.3509374]

On quantum integrability of the Landau-Lifshitz model

We investigate the quantum integrability of the Landau-Lifshitz (LL) model and solve the long-standing problem of finding the local quantum Hamiltonian for the arbitrary n-particle sector. The particular difficulty of the LL model quantization, which arises due to the ill-defined operator product, is dealt with by simultaneously regularizing the operator product and constructing the self-adjoint extensions of a very particular structure. The diagonalizibility difficulties of the Hamiltonian of the LL model, due to the highly singular nature of the quantum-mechanical Hamiltonian, are also resolved in our method for the arbitrary n-particle sector. We explicitly demonstrate the consistency of our construction with the quantum inverse scattering method due to Sklyanin [Lett. Math. Phys. 15, 357 (1988)] and give a prescription to systematically construct the general solution, which explains and generalizes the puzzling results of Sklyanin for the particular two-particle sector case. Moreover, we demonstrate the S-matrix factorization and show that it is a consequence of the discontinuity conditions on the functions involved in the construction of the self-adjoint extensions.

Three-point vertices in Landau-gauge Yang-Mills theory

Vertices are of central importance for constructing QCD bound states out of the individual constituents of the theory, i.e. quarks and gluons. In particular, the determination of three-point vertices is crucial in nonperturbative investigations of QCD. We use numerical simulations of lattice gauge theory to obtain results for the 3-point vertices in Landau-gauge SU(2) Yang-Mills theory in three and four space-time dimensions for various kinematic configurations. In all cases considered, the ghost-gluon vertex is found to be essentially tree-level-like, while the three-gluon vertex is suppressed at intermediate momenta. For the smallest physical momenta, reachable only in three dimensions, we find that some of the three-gluon-vertex tensor structures change sign.

Contribution of the second Landau level to the exchange energy of the three-dimensional electron gas in a high magnetic field

We derive a closed analytical expression for the exchange energy of the three-dimensional interacting electron gas in strong magnetic fields, which goes beyond the quantum limit (L=0) by explicitly including the effect of the second, L=1, Landau level and arbitrary spin polarization. The inclusion of the L=1 level brings the fields to which the formula applies closer to the laboratory range, as compared to previous expressions, valid only for L=0 and complete spin polarization. We identify and explain two distinct regimes separated by a critical density n(c). Below n(c), the per particle exchange energy is lowered by the contribution of L=1, whereas above n(c) it is increased. As special cases of our general equation we recover various known more limited results for higher fields, and we identify and correct a few inconsistencies in some of these earlier expressions.

DJKM ALGEBRAS I: THEIR UNIVERSAL CENTRAL EXTENSION

The purpose of this paper is to explicitly describe in terms of generators and relations the universal central extension of the infinite dimensional Lie algebra, g circle times C[t, t(-1), u vertical bar u(2) = (t(2) - b(2))(t(2) - c(2))], appearing in the work of Date, Jimbo, Kashiwara and Miwa in their study of integrable systems arising from the Landau-Lifshitz differential equation.