Correspondence with Judge George Thatcher, 1789-1815

Correspondence from Tyng, who resided in Newburyport and Boston, to Congressman George Thacher of Maine, touching on a variety of political topics such as the judiciary act of 1789, the make-up of the United States Supreme Court, and the judges of the Massachusetts court system.

[Pamphlets on cotton.].

American cotton crop movements--An address delivered at the International Convention of Cotton Spinners, Manufacturers and Cotton Growers, Atlanta, Georgia, Oct. 8, 1907 / S.T. Hubbard--An exposition of the methods of business in "cotton futures" as conducted in the New York, New Orleans and Liverpool markets / A.B. Shepperson--Nature and uses of cotton contracts--The economic position of the New York Cotton Exchange and its relation to the cotton trade / A.R. Marsh--The New York Cotton Exchange and its contract for delivery of cotton / S.T. Hubbard.

Roses and their culture; how to propagate, grow and exhibit outdoor roses in America

Mode of access: Internet.

Letters of the Hon. C.F. Cleveland, and Hon. Henry Hubbard, Governors of Connecticut and New Hampshire, to Samuel Ward King, the charter governor of Rhode Island, refusing to deliver up Thomas Wilson Dorr, ...

Also, the letter of the Hon. Marcus Morton, and others, to the Suffrage Clam-bake.

Strong-coupling expansion for the momentum distribution of the Bose-Hubbard model with benchmarking against exact numerical results

A strong-coupling expansion for the Green's functions, self-energies, and correlation functions of the Bose-Hubbard model is developed. We illustrate the general formalism, which includes all possible (normal-phase) inhomogeneous effects in the formalism, such as disorder or a trap potential, as well as effects of thermal excitations. The expansion is then employed to calculate the momentum distribution of the bosons in the Mott phase for an infinite homogeneous periodic system at zero temperature through third order in the hopping. By using scaling theory for the critical behavior at zero momentum and at the critical value of the hopping for the Mott insulator–to–superfluid transition along with a generalization of the random-phase-approximation-like form for the momentum distribution, we are able to extrapolate the series to infinite order and produce very accurate quantitative results for the momentum distribution in a simple functional form for one, two, and three dimensions. The accuracy is better in higher dimensions and is on the order of a few percent relative error everywhere except close to the critical value of the hopping divided by the on-site repulsion. In addition, we find simple phenomenological expressions for the Mott-phase lobes in two and three dimensions which are much more accurate than the truncated strong-coupling expansions and any other analytic approximation we are aware of. The strong-coupling expansions and scaling-theory results are benchmarked against numerically exact quantum Monte Carlo simulations in two and three dimensions and against density-matrix renormalization-group calculations in one dimension. These analytic expressions will be useful for quick comparison of experimental results to theory and in many cases can bypass the need for expensive numerical simulations.

Samuel and Eva Baeck nee Placzek with unidentified woman holding child in background Portraits; Family

Digital Image

Samuel Eliasberg in a park with his son Georg Eliasberg; Berlin Portraits Family

Digital Image

Portrait of brothers Moshe Chayim Eliasberg (on left) and Samuel Eliasberg playing chess watched by Moshe's son Mulek Eliasberg Portraits Family

Moshe Chayim Eliasberg died 1920; Samuel Eliasberg died 1929; Mulek Eliasberg, 1886-1942

Photographic reproduction of oil painting portrait of Samuel Meyer Ehrenberg Portraits Men

Original painting with Louis Rosenzweig, New Haven, CT

Photograph of oil painting portrait of Samuel Loewen; Berlin Portraits Men

Handwritten description on verso