Hagen Kleinert (born 15 June ) is Professor of Theoretical Physics at the Free University of He also discovered an alternative to Feynman’s time-sliced path integral construction which can be used to solve the path integral formulations. Buy Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Polymer Physics, and Financial Markets by Hagen Kleinert Paperback $ Buy Path Integrals in Quantum Mechanics, Statistics, and Polymer Physics, Hagen Kleinert is Professor of Physics at the Freie Universität Berlin, Germany.

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In addition to the time-sliced definition, the author gives a perturbative, coordinate-independent definition of path integrals, which makes them invariant under coordinate transformations. Photo taken in The experimental integrqls is still missing. In he introduced [20] stiffness into the theory of stringswhich had formerly been characterized by tension alone.

He studied physics at the University of Hanover between andand at several American universities including Georgia Institute of Technologywhere he learned general relativity as a graduate student from George Gamowone of the fathers of the Big Bang theory. This theory inspired Italian artist Laura Pesce to create glass sculptures entitled “world crystal” see also lower left on this page.

Max Born Prize Majorana Prize For superconductors he predicted in a tricritical point in the phase diagram between type-I and type-II superconductors where the order of the transition changes from second to first. This so-called variational perturbation theory yields at present the most accurate integra,s of critical exponents [7] observable close to second-order phase transitionsas confirmed for superfluid helium in satellite experiments. As an alternative to string theoryKleinert used the complete analogy between non-Euclidean geometry and the geometry of crystals with defects to construct a model of the universe called the World Crystal or Planck-Kleinert integrlas.

## Hagen Kleinert

Chervyakov, Kleinert developed an extension of the theory of distributions from linear spaces to semigroups by defining their products uniquely in the mathematical theory, only linear combinations are defined. Later, Kleinert was to collaborate with Feynman [5] in some of the latter’s last work. University of Hanover University of Colorado, Boulder.

Inhe considered the existence of a novel Riemann particle. In this model, matter creates defects in spacetime which generate curvature. The Russian physicist A. Bagen from ” https: Kleinert’s 60th birthday was honored by a Festschrift and a Festcolloquium with 65 contributions by international colleagues for instance Y.

Account Options Sign in. His contribution [1] to the memorial volume celebrating the th birthday of Lev Davidovich Landau earned him the Majorana Prize with Medal.

Views Read Edit View history. Hagen Kleinert Limited preview – Within the quantum field theories of quarks he found the origin [11] of the algebra of Regge residues conjectured by Lkeinert.

hsgen Devreeseand K. The theory is based on a disorder field theory dual to the order field theory of L. George Gamow Richard Feynman. Landau for phase transitions which Kleinert developed in the books on Gauge Fields in Condensed Matter.

Kleinert earned his doctorate in at the University of Colorado, Boulder. This curvature reproduces all the effects of general relativitybut leads to different physics than string theory at the scale of the Planck length.

This page was last edited on 28 Septemberat In this theory, the statistical properties of fluctuating vortex or defect lines are described as elementary excitations with the help of fields, whose Feynman diagrams are the pictures of the lines.

### Homepage of Hagen Kleinert

Kleinert is a senior member of the faculty for the International Relativistic Astrophysics Ph. Free University of Berlin. The powerful Feynman-Kleinert variational approach is explained and developed systematically into a variational perturbation theory which, in contrast to ordinary perturbation theory, produces convergent results.

Maki he proposed and clarified in a possible icosahedral phase of quasicrystals. Special attention is devoted to path integrals with topological restrictions needed to understand the statistical properties of elementary particles and the entanglement phenomena in polymer physics and biophysics. A variational treatment extends the range of validity to small barriers. Please help improve it by revising it to be neutral and encyclopedic. He is married to Dr.

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