Leseprobe
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Studies in Mathematical Physics
Elliott H. Lieb (Hrsg.)
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Naturwissenschaften, Medizin, Informatik, Technik / Naturwissenschaften allgemein
Beschreibung
Some of the articles in this collection give up-to-date accounts of areas in mathematical physics to which Valentine Bargmann made pioneering contributions. The others treat a selection of the most interesting current topics in the field. The contributions include both reviews and original results.
Contents: The Inverse r-Squared Force (Henry D. I. Abarbanel; Certain Hilbert Spaces of Analytic Functions Associated with the Heisenberg Group (Donald Babbitt); Lower Bound for the Ground State Energy of the Schrodinger Equation Using the Sharp Form of Young's Inequality (John F. Barnes, Herm Jan Brascamp, and Elliott II. Lieb); Alternative Theories of Gravitation (Peter G. Bergmann; )Generalized Wronskian Relations (F. Calogero); Old and New Approaches to the Inverse-Scattering Problem (Freeman J. Dyson); A Family of Optimal Conditions for the Absence of Bound States in a Potential (V. Glaser, A. Martin, H. Grosse, and W. Thirring); Spinning Tops in External Fields (Sergio Hojman and Tullio Regge); Measures on the Finite Dimensional Subspaces of a Hilbert Space (Res Jost); The Froissart Bound and Crossing Symmetry (N. N. Khuri); Intertwining Operators for SL(n,R) (A. W. Knapp and E. M. Stein); Inequalities for the Moments of the Eigenvalues of the Schrodinger Hamiltonian and Their Relations to Sobolev Inequalities (Elliott H. Lieb and Walter Thirriny); On the Number of Bound States of Two Body Schrodinger Operators (Barry Simon); Quantum Dynamics: From Automorphism to Hamiltonian (Barry Simon); Semiclassical Analysis Illuminates the Connection between Potential and Bound States and Scattering (John Archibald Wheeler); Instability Phenomena in the External Field Problem for Two Classes of Relativistic Wave Equations (A. S. Wightman)
Originally published in 1976.
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Mathematical analysis, Inverse scattering problem, Quantum field theory, Unitarity (physics), Quantum tunnelling, Hilbert space, WKB approximation, Quantum mechanics, Atomic physics, Schrödinger equation, Variable (mathematics), Physical cosmology, Effective mass (solid-state physics), Wigner's theorem, Expectation value (quantum mechanics), Quantum harmonic oscillator, Minkowski space, Commutator, Measure (mathematics), Projective Hilbert space, Cauchy–Riemann equations, Scattering, Equation, Dirac equation, Mathematical optimization, Mathematics, Classical physics, Eigenfunction, Fractional calculus, Order of integration (calculus), Quantum number, Mathematical physics, Theoretical physics, Support (mathematics), Hamiltonian mechanics, Action (physics), Riemannian geometry, Gauge theory, Lagrangian (field theory), Gleason's theorem, Norm (mathematics), Perturbation theory (quantum mechanics), Lorentz group, Automorphism, Eigenvalues and eigenvectors, Differential equation, Renormalization, Kepler problem, Wave equation, Physics, Three-dimensional space (mathematics), Sign (mathematics), Integral equation, Lie algebra, Scientific notation, Von Neumann's theorem, Theorem, Hyperbolic function, Mathematical problem, Variational method (quantum mechanics), Lebesgue measure, Projection (linear algebra), Spin (physics), Axiomatic quantum field theory, Wave function, Available energy (particle collision), Quantum dynamics, Operator (physics), Gaussian measure, Cross section (physics)