Correlations in Space and Time and Born Approximation Scattering in Systems of Interacting Particles( Van Hove) + Molecular Microwave Oscillator and New Hyperfine Structure in the Microwave Spectrum in Physical Review 95, Number 1, July 1, 1954, pp. 249-262; 282-284

Van Hove, Léon + Gordon, J. P.; Zeiger, H. J.; and Townes, C. H.

Published by American Physical Society, Lancaster, 1954

About this Item

FIRST EDITION IN ORIGINAL WRAPS OF VAN HOVE'S PAPER PRESENTING A CENTRAL QUANTITY IN THE STUDY OF FLUCTUATIONS, THE DENSITY-DENSITY SPACETIME CORRELATION THAT HAS COME TO BE KNOWN AS THE VAN HOVE FUNCTION. Here Van Hove offers "a natural time-dependent generalization for the well-known pair distribution function g(r) of systems of interacting particles. The pair distribution in space and time thus defined, denoted by G(r,t), gives rise to a very simple and entirely general expression for the angular and energy distribution of [the] Born approximation scattering by the system" (Van Hove). Van Hove's paper is considered seminal. Another way of stating this is to say that the Van Hove formula proveides the relation between the cross-sections "for scattiner of slow neutrons by an assembly of nuclei and space-time correlation functions for hte motion of the scattering system. [His papers shows that] the Born approximation scattering cross section can be expressed in terms of the four-dimensional Fourier transform of a pair distribution function depending on a space vector and a time variable. The formula. provided a convenient method of analyzing the properties of slow neutron scattering by systems of particles, of light scattering by media, etc. The advantage of using [it] for analysis of scattering data is its compact form and intuitively clear physical meaning" (Berne, B. J. Time Dependent Properties of Condensed Media). ALSO PRESENT, Charles Townes' Nobel Prize winning construction of the first amplification and generation of electromagnetic waves by stimulation - the first ammonia maser. Townes coined the word 'maser' for this device, an acronym for microwave amplification by stimulated emission of radiation. CONDITION & DETAILS: Lancaster: American Physical Society. Quarto (11.25 x 8.25 inches; 275 x 200mm). Original wraps. Ex-libris bearing a light "Duplicate Reserve Collection" stamp on the front wrap and two equally light small date stamps on the rear wrap. Minor wear at the spine, repaired to match. Slight scuffing and wear around the edges. Otherwise bright and very clean throughout.

Seller Inventory # 391

Bibliographic Details

• Title: Correlations in Space and Time and Born Approximation Scattering in Systems of Interacting Particles( Van Hove) + Molecular Microwave Oscillator and New Hyperfine Structure in the Microwave Spectrum in Physical Review 95, Number 1, July 1, 1954, pp. 249-262; 282-284
• Publisher: American Physical Society, Lancaster
• Publication Date: 1954
• Edition: 1st Edition.
• Seller catalogs:
  • Astronomy, Cosmology, & Astrophysics