Geometrical interpretation of Inönü-Wigner contractions

The Inönü-Wigner contractions which interrelate the Lie algebras of the isometry groups of metric spaces are discussed with reference to deformations of the absolutes of the spaces. A general formula is derived for the Lie algebra commutation relations of the isometry group for anyN-dimensional metric space. These ideas are illustrated by a discussion of important particular cases, which interrelate the four-dimensional de Sitter, Poincaré, and Galilean groups.

Elementary particles, general relativity and f-mesons

Abstract is not available.

Paraxial Maxwell beams: transformation by general linear optical systems

Extending the work of earlier papers on the relativistic-front description of paraxial optics and the formulation of Fourier optics for vector waves consistent with the Maxwell equations, we generalize the Jones calculus of axial plane waves to describe the action of the most general linear optical system on paraxial Maxwell fields. Several examples are worked out, and in each case it is shown that the formalism leads to physically correct results. The importance of retaining the small components of the field vectors along the axis of the system for a consistent description is emphasized.

Untersekunda Gymnasium Schalke; Excursion to Festival " Wilhelm Tell" Near Pond in Hohenstein Portraits; Groups

856 field created from CDN and IMN fields by JPALMISANO, 08/10/2010.

Sitting l-r Rabbi Dudley Weinberg, Leo Baeck, Joseph H. Cohen, Dr. Joshua Liebman; Standing l-r Max Feldberg, Louis Salvage, Rabbi Beryl D. Cohon, Harry Penn, Abraham Schiller; Boston Portraits; Groups; Men

Page 58 of the "American Jewish Cavalcade" scrapbook of Leo Baeck in New York found in ROS 10 Folder 3

Bishop Lewis Hartman, Reverend Dr. Isaac Higginbotham, Leo Baeck, Bishop Norman B. Nash, and Reverend Frank Jennings Portraits; Groups; Men

Page 57 of the "American Jewish Cavalcade" scrapbook of Leo Baeck in New York found in ROS 10 Folder 3

Leo Baeck sitting at table speaking with Congressman Adolph Sabath; Chicago Portraits; Groups; Men

Page 61 of the "American Jewish Cavalcade" scrapbook of Leo Baeck in New York found in ROS 10 Folder 3

Leo Baeck shaking hands with Congressman Adolph Sabath; Chicago Portraits; Groups; Men

Page 62 of the "American Jewish Cavalcade" scrapbook of Leo Baeck in New York found in ROS 10 Folder 3

Julian Morgenstern (?), Leo Baeck, and Nelson Glueck Portraits; Groups; Men

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Leo Baeck speaking with Rabbi Joshua Liebman Portraits; Groups; Men

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Leo Baeck with unidentified man Portraits; Groups; Men

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Leo Baeck with Maurice N. Eisendrath, President of the Union of American Hebrew Congregations Portraits; Groups; Men

Page 24 of the "American Jewish Cavalcade" scrapbook of Leo Baeck in New York found in ROS 10 Folder 3

Leo Baeck with Maurice N. Eisendrath, President of the Union of American Hebrew Congregations Portraits; Groups; Men

Page 24 of the "American Jewish Cavalcade" scrapbook of Leo Baeck in New York found in ROS 10 Folder 3

Leo Baeck speaking, Maurice N. Eisendrath, President of the Union of American Hebrew Congregations, in background Portraits; Groups; Men

Page 23 of the "American Jewish Cavalcade" scrapbook of Leo Baeck in New York found in ROS 10 Folder 3

Leo Baeck with New York Mayor William O'Dwyer Portraits; Groups; Men

Page 68 of the "American Jewish Cavalcade" scrapbook of Leo Baeck in New York found in ROS 10 Folder 3