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  • 1
    Online Resource
    Online Resource
    Providence :American Mathematical Society,
    Keywords: Quantum field theory--Congresses. ; Electronic books.
    Description / Table of Contents: This book is the first volume of the proceedings of the Canadian Mathematical Society Annual Seminar on Mathematical Quantum Theory, held in Vancouver in August 1993. The seminar was run as a research-level summer school concentrating on two related areas of contemporary mathematical physics. The subject of the first session, quantum field theory and many-body theory, is covered in the present volume; papers from the second session, on Schrödinger operators, are in volume 2. Each session featured a series of minicourses, consisting of approximately four one-hour lectures, designed to introduce students to current research in a particular area. In addition, about thirty speakers gave one-hour expository lectures. With contributions by some of the top experts in the field, this book provides an overview of the state of the art in mathematical quantum field and many-body theory.
    Type of Medium: Online Resource
    Pages: 1 online resource (244 pages)
    Edition: 1st ed.
    ISBN: 9781470439217
    Series Statement: CRM Proceedings & Lecture Notes ; v.7
    DDC: 530.1/43
    Language: English
    Note: Cover -- Title page -- Contents -- Preface -- Weak perturbations of Gaussian measures -- Fermionic many-body models -- Conformal field theory and geometry of strings -- Cluster expansions with small/large field conditions -- Percolation theory and the phase structure of two-dimensional classical ferromagnets -- Navier and Stokes meet the wavelet, II -- Applications of the renormalization group -- End-to-end distance for a four-dimensional self-avoiding walk -- The Falicov-Kimball model of interacting electrons -- Radiative decay of an atom in a massless quantised field -- The Knizhnik-Zamolodchikov-Bernard equation on the torus -- Dual potentials of free Dirac currents as exactly soluble models -- Back Cover.
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  • 2
    Online Resource
    Online Resource
    Providence :American Mathematical Society,
    Keywords: Schrèodinger operator--Congresses. ; Electronic books.
    Description / Table of Contents: The articles in this collection constitute the proceedings of the Canadian Mathematical Society Annual Seminar on Mathematical Quantum Theory, held in Vancouver in August 1993. The meeting was run as a research-level summer school concentrating on two related areas of contemporary mathematical physics. The first area, quantum field theory and many-body theory, is covered in volume 1 of these proceedings. The second area, treated in the present volume, is Schrödinger operators. The meeting featured a series of four-hour mini-courses, designed to introduce students to the state of the art in particular areas, and thirty hour-long expository lectures. With contributions from some of the top experts in the field, this book is an important resource for those interested in activity at the frontiers of mathematical quantum theory.
    Type of Medium: Online Resource
    Pages: 1 online resource (314 pages)
    Edition: 1st ed.
    ISBN: 9781470439224
    Series Statement: CRM Proceedings & Lecture Notes ; v.8
    DDC: 530.1/44
    Language: English
    Note: Cover -- Title page -- Contents -- Preface -- Topics in spectral theory of Schrodinger operators on non-compact Riemannian manifolds with cusps -- The general theory of -body quantum systems -- Lectures on large Coulomb systems -- Spectral analysis of rank one perturbations and applications -- Inverse potential scattering: A geometrical approach -- New results on the long-range scattering -- Spectral properties of the Kac operator in large dimension -- Localization properties of continuous disordered systems in d-dimensions -- Cluster WKB -- The Selberg zeta function and scattering poles for Kleinian groups -- Charge transport in quantum Hall systems and the index of projectors -- Number theory, classical mechanics, and the theory of large atoms -- Bound for the atomic ground state density at the nucleus -- Spectral analysis of N-body Stark Hamiltonians -- Ground state resonances for hydrogen in an intense magnetic field -- On the scattering matrix for N-particle Hamiltonians -- Back Cover.
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  • 3
    ISSN: 1432-1106
    Keywords: Endothelin ; Ischemia ; Striatum ; Microdialysis ; Cerebral blood flow ; Rat
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary The present study examines the possibility that lesions induced by intrastriatal injections of endothelin-1 (ET-1, 0.43 nmol/0.5 µl) are ischemic in nature due to a vasoconstriction of the cerebral microvessels. In time course and dose-response experiments with ET-1 and in comparisons with ET-3, the volume of the lesions has been determined based mainly on the disappearance of striatal nerve cells, using a computer assisted morphometrical analysis. The blood flow in the neostriatum close to the site of injection of ET-1 was determined acutely by Laser-Doppler flowmetry. The acute metabolic effects of ET-1 were also studied on striatal superfusate levels of lactate, pyruvate, dopamine and its metabolites DOPAC (3,4-dihydroxyphenylacetic acid) and homovanilic acid (HVA) using an instrastriatal microdialysis probe. Dose related striatal lesions were observed with ET-1 (0.043–0.43 nmol) with a peak lesion volume after 24–48 h and the possible existence of a penumbra area. ET-3 showed a reduced potency to produce striatal lesions compared to ET-1. The lesions induced by ET-1 were prevented by coinjection with dihydralazine, a vasodilator drug. Acutely ET-1 (0.43 nmol/0.5 µl) produced a prolonged reduction of the cerebral blood flow down to 40% of control values and temporary increases of striatal lactate and DA efflux, the latter change being very marked. Also a significant reduction of DOPAC and HVA was observed. These neurochemical changes were all prevented by treatment with dihydralazine. These results indicate that ET-1 injected in the neostriatum may produce lesions by causing local ischemia, related to its vasoconstrictor activity and possibly also to an activation of ET-1 receptors in the astroglial-endothelial complex. Based on the present results it seems possible that ET-1 may participate in the multifactorial pathogenesis of cerebral ischemia.
    Type of Medium: Electronic Resource
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  • 4
    ISSN: 1432-1106
    Keywords: Endothelin-1 ; Striatum ; Ischemia ; Microdialysis ; Cerebral blood flow ; Rat
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract We have studied the ability of the vigilance-promoting drug modafinil to counteract the ischemic lesion produced by a unilateral microinjection of endothelin-1 (ET-1) in the neostriatum of the rat using a combined morphometrical, biochemical, cardiovascular and behavioral analysis. ET-1 was injected unilaterally into the neostriatum. The ET-1-induced lesion volume, which was determined by a computer-assisted morphometrical analysis, was reduced by the 7-day modafinil treatment (10, 30, and 100 mg/kg i.p.) in a dose-related way. Modafinil also produced a dose-related counteraction of the ET-1-induced increase of perfusate lactate levels, as determined by intrastriatal microdialysis without affec ting the ET-1 induced reduction of striatal blood flow, as determined by laser-Doppler flowmetry. The ipsilateral rotational behavior induced by apomorphine in the ET-1-lesioned rats was reduced dose-dependently by modafinil treatment. Thus, morphological, neurochemical, and behavioral evidence that the putative ischemic striatal injury induced by microinjection of ET-1 in the rat neostriatum is counteracted in a dose-dependent way by modafinil treatment has been obtained. The mechanism does not appear to involve an increase in striatal blood flow. It is instead speculated that its powerful preventive action in striatal ischemic injury may be related to a reduced anaerobic metabolism.
    Type of Medium: Electronic Resource
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