Valentine Bargmann (7 results)

Hardcover. Condition: Near Fine. Dust Jacket Condition: Very Good. 1st Edition. Vii, 377 Pp. Grey Cloth, Spine Lettered In Gilt On Maroon Background. First Edition, 1954, First Printing ( No Statement Of Printing, Dj Price Clipped But Exactly Same As First And Came With This Book, Publisher's Address As 419 Fourth Avenue On Front And Rear Flaps). Book Near Fine, Spine Edges Bumped, No Marks. Dj Good, Rubbing At Corners With Small Losses, 2 1/2" Closed Tear At Bottom Of Front Spine Edge, 3 1/2" Tear Across Top Left Corner Of Rear Panel, 1 1/4" Closed Tear Bottom Of Rear Panel, No Loss Of Lettering, Slight Fading Of Yellow Lettering On Spine Panel.

Broschiert. Condition: Gut. 112 Seiten; Vieweg & Sohn - 3. Auf. 1963 : Albert Einstein - tb. Gr. - Namenseintrag , 9-56-2-L5 RL-GMAX-VKT7 Sprache: Deutsch Gewicht in Gramm: 500.

1st Edition. FIRST EDITION IN ORIGINAL PRINTED WRAPS OF BARGMANN'S RELATION OF FOCK'S "GLOBAL METHOD" OF TREATMENT FOR THE HYDROGEN ATOM TO THE "INFINITESIMAL METHOD" OF PAULI (Chattargi, The Theory of Auger Transitions, 36; Avery, Applications in Quantum Theory, xii). Note that we offer the Fock paper separately. A German-American theoretical physicist and mathematician, Valentine â??Valya' Bargmann worked as an assistant to Albert Einstein at Princeton from 1937-1946. In this paper, Bargmann shows "that a group theoretical interpretation of the matrix equations that Pauli used as a basis of his treatment of the hydrogen atom leads to the method recently developed by Fock. The separation of the Schrödinger equation in parabolic coordinates will be introduced in this connection" (Bargmann, 1936, 576). "In a very interesting paper, Fock reduces the Schrödinger equation of the hydrogen atom in momentum space to an integral equation in the spherical harmonics in four variables, by making a stereographic projection between momentum space and the four dimensional unit sphere. These considerations are [as Bargmann shows] closely connected with the treatment of the hydrogen atom by the matrix calculus of Pauli. The group theoretical interpretation of the relations derived by Pauli lead necessarily to Fock's method" (ibid). Bargmann draws "the connection between Fock's analytic approach and Pauli's algebraic approach [six months after Fock's paper when he noticed that the operators L and M in Pauli's article functioned as the generators of infinitesimal rotations of the four-dimensional hypersphere, giving rise to the SO (4) group as outlined by Fock. Since the angular momentum components were known to generate the familiar three-dimensional rotation group SO (30, the components of the LRL vector were deemed responsible for the additional symmetry and accidental degeneracy of the hydrogen atom" (ibid). In addition to his work with Einstein, Bargmann also collaborated "with the mathematician John von Neumann on work that was to help lead to the development of computers" (NYTimes Obituary, 25 July 1989). CONDITION & DETAILS: Complete issue. 8vo. 9 x 6 inches; 225 x 140mm). Very slight toning at the edges of the wraps and interior (the scanner makes it appear much, much darker in the image than to the naked eye). Front wrap is detached; very slight chipping of the paper at the spine; withal bright, clean, and in very good to near fine condition.

Berlin, Springer, 1936. 8vo. In contemporary halv cloth with gilt lettering to spine. In "Zeitschrift für Physik", Bd. 99, 1936. Entire volume offered. Stamp to front free end-paper and titlepage, Extremities with soiling and some leaves with light dampstain, not affecting the Bargmann paper. Pp. 576-582. [Entire volume: VIII, 803 pp.]. First appearance of Bargmann's paper in which he showed that the Kepler problem is mathematically equivalent to a particle moving freely on the surface of a four-dimensional (hyper-)sphere, so that the whole problem is symmetric under certain rotations of the four-dimensional space.Bargmann functioned as Albert Einstein assistant for several years.

Berlin, Springer, 1936. 8vo. In contemporary halv cloth with gilt lettering to spine. In "Zeitschrift für Physik", Bd. 99, 1936. Entire volume offered. Stamp to front free end-paper, otherwise fine. Pp. 576-582. [Entire volume: VIII, 803 pp.]. First appearance of Bargmann's paper in which he showed that the Kepler problem is mathematically equivalent to a particle moving freely on the surface of a four-dimensional (hyper-)sphere, so that the whole problem is symmetric under certain rotations of the four-dimensional space.Bargmann functioned as Albert Einstein assistant for several years.

Soft cover. Condition: Fine. 1st Edition. First edition, very rare offprint, of Bargmann and Wigner's classification of relativistic wave equations in terms of represenations of the Poincare group. When they wrote the present paper, "there existed a very considerable literature on relativistic wave equations which, in principle, should have provided examples of representations of the Poincare group, at least if an appropriate Hilbert space structure could be put on the solutions of the equations. In [the present paper] Bargmann and Wigner constructed new explicitly invariant realizations of the irreducible representations of [the Poincare group] in terms if Hilbert spaces of solutions of partial differential equations . . . the continuous spin equations were entirely new, but [Wigner] claims to find antecedents for the other cases in papers of Majorana, Kramers, Belinfante and Lubanski, and others. Posierity has passed its judgement by referring to [these partial differential equations] as the Bargmann-Wigner equations" (Arthur Wightman in The Collected Works of Eugene Paul Wigner, Part A, Vol. III, pp. 9-11). "Bargmann worked with Eugene Wigner on relativistic wave equations and together they developed the justly famous Bargmann-Wigner equations for elementary particles of arbitrary spin" (Bargmann's National Academy of Sciences obituary). 8vo, pp. 211-233. Original printed wrappers.

First edition, offprint issue, of the first of two papers on Einstein's penultimate approach by which he hoped to arrive at a unified field theory. "What Einstein and Bargmann proposed was an attempt at a nonlocal relativistic theory of gravitation. They investigated the properties of a new kind of mathematical object that they called 'bivectors'" (Sauer, p. 300). Boni 248; Weil 213. Tilman Sauer, "Einstein's Unified Field Theory Programme", The Cambridge Companion to Einstein, 2014. Octavo, pp. 14. Original yellow wrappers, front wrapper printed in black, wire-stitched as issued. Wrappers a little soiled: a very good copy.