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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Landau for phase transitions which Kleinert developed in the books on Ingegrals Fields in Condensed Matter. A corresponding extension of the large-order perturbation theory now also applies to small orders. This curvature reproduces all the effects of general relativitybut leads to different physics than string theory at the scale of the Planck length. Inhe considered the existence kleunert a novel Riemann particle. Please help improve it by revising it to be neutral and encyclopedic.

The convergence is uniform from weak to strong couplings, opening a way to precise evaluations of analytically unsolvable path integrals in the strong-coupling regime where they describe critical phenomena. He studied physics at the University of Hanover hagej 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.

His theory of collective quantum fields [17] and the Hadronization of Quark Theories [18] are prototypes for numerous developments in the theory of condensed matternuclear and elementary particle physics. Retrieved from ” https: Selected pages Title Page. This so-called variational perturbation theory yields at present the most accurate theory of critical exponents [7] observable close to second-order phase transitionsnitegrals confirmed for superfluid imtegrals in satellite experiments.

At the summer school in Erice he proposed the existence of broken supersymmetry in atomic nuclei, [15] which has since been observed experimentally.

In this model, matter creates defects in spacetime which generate curvature.

This page was last edited on 28 Septemberat Devreeseand K. A consistent implementation of this property leads to an extension of the theory of generalized functions by defining uniquely products of distributions.

This greatly improved the description of the physical properties of strings. Hagen Kleinert Limited preview – The Russian physicist A. Kleinert’s 60th birthday was honored by pzth Festschrift and a Festcolloquium with 65 contributions by international colleagues for instance Y.

It is the first book to explicitly solve path integrals of a wide variety of nontrivial quantum-mechanical systems, in particular the hydrogen atom.

My library Help Advanced Book Search. 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.

The experimental verification is still missing. The theory is based on a disorder field theory dual to the order field theory of L. He is married to Dr. Hagen Kleinert No preview available – For his contributions to particle and solid state physics he was awarded the Max Born Prize with Medal. The second is a new nonholonomic mapping principle carrying physical laws in flat spacetime to spacetimes with curvature and torsion, which leads to time-sliced path integrals that are manifestly invariant under coordinate transformations.

Free University of Berlin. Lettere al Nuovo Cimento. Later, Kleinert was to collaborate with Feynman [5] in some of the latter’s last work.

Annemarie Kleinert since with whom he has a son Michael Kleinert. Special attention gagen 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. Polyakov simultaneously proposed a similar extension, and so the model is now known as the Polyakov-Kleinert string.

### Homepage of Hagen Kleinert

By using this site, you agree to the Terms of Use and Privacy Policy. Kleinert earned his doctorate in at the University of Colorado, Boulder. The solutions have been made possible by two kleniert advances. Account Options Sign in. Max Born Prize Majorana Prize 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.

## Hagen Kleinert

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 crystal. Kleinert is a senior member of the faculty for the International Relativistic Astrophysics Ph. 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.

University of Hanover University of Colorado, Boulder. This theory inspired Italian artist Laura Pesce to create glass sculptures entitled “world crystal” see also lower left on this page.

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. From Wikipedia, the free encyclopedia.