Calculation of the optical conductivity for the Anderson impurity model using the slave boson technique

The optical conductivity of the Anderson impurity mode l has been calculated by emp l oying the slave boson technique and an expansion in powers of l i N, where N is the d egeneracy o f the f electron level . This method has been used to find the effective mass of the conduction electrons for temperatures above and below the Kondo tempera ture. For low temperatures, the mass enhancement is f ound to be large while a t high t emperatures, the mass enhancement is sma ll. The conductivity i s f ound to be Drude like with frequency dependent effective mass and scattering time for low independent effective mass and temperatures and scattering time f requency for high t emperatures. The behavior of both the effective mass and the conductivity is in qualitative agreement with experimental r esul t s .

Special report of New York State Survey on the preservation of the scenery of Niagara Falls ; and fourth annual report on the triangulation of State. For the Year 1879 /

Notes by F. L. Olmsted.

Hugh Alexander Papers, 1811-1816 [photocopy]

Hugh Alexander, b. 1780 arrived in Niagara shortly after his birth. He attended school and later apprenticed as a clerk. In 1797 he was granted 200 acres of land in Bertie township and became a merchant and trader in Fort Erie. He was the owner of a sailing vessel, the Chippawa, which he used to transport goods in the area. The ship was lost and/or confiscated as a result of War of 1812 skirmishes on Lake Erie. By 1812 Hugh Alexander was in business together with his brother Ephraim. The Alexander’s storehouse, store and house were burned by the British military when they abandoned Fort Erie ahead of the invading American military in late May 1813. At the time of the burning, Hugh Alexander was engaged as a Lieutenant with the 3rd Lincoln Militia. Prior to this Hugh Alexander had established a second mercantile in Stamford, opposite the green. Misfortune was to strike at this location as well when the British military abandoned the whole of the Niagara area to the invading American forces and the Stamford location was looted. After the end of the hostilities Alexander went on to rebuild his storehouse in Fort Erie and to re-establish his store in Stamford. Hugh Alexander died on November 2, 1817 and is buried in the Stamford Presbyterian Cemetery. Source: George A. Seibel, The Niagara Portage Road: 200 Years 1790-1990. Niagara Falls: City of Niagara Falls, 1990, p. 259-262.

Rick Bell Family fonds, 1874-1875, 1879, 1884, 1886, 1888-1889, 1896, 1898, 1909-1910, 1939, 1945, n.d.

Lewis Tyrell married Jane Gains on August 31, 1849 in Culpeper Court House, Virginia. Jane Gains was a spinster. Lewis Tyrell died September 25, 1908 at his late residence, Vine St. and Welland Ave., St. Catharines, Ont. at the age of 81 years, 5 months. Jane Tyrell died March 1, 1886, age 64 years. Their son? William C. Tyrell died January 15, 1898, by accident in Albany, NY, age 33 years, 3 months. John William Taylor married Susan Jones were married in St. Catharines, Ont. on August 10, 1851 by William Wilkinson, a Baptist minister. On August 9, 1894 Charles Henry Bell (1871-1916), son of Stephen (1835?-1876) and Susan Bell, married Mary E. Tyrell (b. 1869?) daughter of Lewis and Alice Tyrell, in St. Catharines Ontario. By 1895 the Bell’s were living in Erie, Pennsylvania where children Delbert Otto (b. 1895) and Edna Beatrice (b. 1897) were born. By 1897 the family was back in St. Catharines where children Lewis Tyrell (b. 1899), Gertrude Cora (b. 1901), Bessie Jane (b. 1902), Charles Henry (b. 1906), Richard Nelson (b. 1911) and William Willoughby (b. 1912) were born. Charles Henry Bell operated a coal and ice business on Geneva Street. In the 1901 Census for St. Catharines, the Bell family includes the lodger Charles Henry Hall. Charles Henry Hall was born ca. 1824 in Maryland, he died in St. Catharines on November 11, 1916 at the age of 92. On October 24, 1889 Charles Hall married Susan Bell (1829-1898). The 1911 Census of Canada records Charles Henry Hall residing in the same household as Charles Henry and Mary Bell. The relationship to the householder is step-father. It is likely that after Stephen Bell’s death in 1876, his widow, Susan Bell married Hall. In 1939, Richard Nelson Bell, son of Charles Henry and Mary Tyrell Bell, married Iris Sloman. Iris (b. 22 May 1912 in Biddulph Township, Middlesex, Ontario) was the daughter of Albert (son of Joseph b. 1870 and Elizabeth Sloman, b. 1872) and Josie (Josephine Ellen) Butler Sloman of London, Ont. Josie (b. 1891) was the daughter of Everett Richard and Elizabeth McCarthy (or McCarty) Butler, of Lucan Village, Middlesex North. According to the 1911 Census of Canada, Albert, a Methodist, was a porter on the railroad. His wife, Josephine, was a Roman Catholic. Residing with Albert and Josie were Sanford and Sadie Butler and Sidney Sloman, likely siblings of Albert and Josephine. The Butler family is descended from Peter Butler, a former slave, who had settled in the Wilberforce Colony in the 1830s. Rick Bell b. 1949 in Niagara Falls, Ont. is the son of Richard Nelson Bell. In 1979, after working seven years as an orderly at the St. Catharines General Hospital while also attending night school at Niagara College, Rick Bell was hired by the Thorold Fire Dept. He became the first Black professional firefighter in Niagara. He is a founding member of the St. Catharines Junior Symphony; attended the Banff School of Fine Arts in 1966 and also performed with the Lincoln & Welland Regimental Band and several other popular local groups. Upon the discovery of this rich archive in his mothers’ attic he became passionate about sharing his Black ancestry and the contributions of fugitive slaves to the heritage Niagara with local school children. He currently resides in London, Ont.

Proceedings : Grand Lodge, A.F. & A.M. of Canada in the Province of Ontario - 1879

On spine : The Grand Lodge of Canada in the Province of Ontario.

Welland Canal Survey of Lands Alexander Nickerson 1826

Survey map and description of Alexander Nickerson's land created by The Welland Canal Company. Included is a written description of the land along with a drawing of the land. Noteable features include; locks no. 7, 8, 9, 10, line between Soper and Phelps land, concession line, Millard, sawmill, line between Phelps and Dittrick's land. Surveyor notes are seen in pencil on the map. The deed for the land is dated August 23, 1826. This land is owned by Alexander Nickerson, taken to be used by the Welland Canal Company and at the time of the survey was in the posession of Oliver Phelps. The land totals 15 acres, 2 roads, and 20 perches.

British Methodist Episcopal Church Tithing Ticket, 1879

A first quarterly tithing ticket from the British Methodist Episcopal Church, signed by W. Grayson, Minister, and dated August 1, 1879. This ticket was in the possession of the Rick Bell Family of St. Catharines, Ontario. Relatives of the Bell family include former Black slaves from the United States who settled in Canada.