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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Hagen Kleinert Limited preview – Tunneling processes are integdals in detail, with applications to the lifetimes of supercurrents, the stability of metastable thermodynamic phases, and the large-order behavior of perturbation expansions.

It is the first book to explicitly solve path integrals of a wide variety of nontrivial quantum-mechanical systems, in particular the hydrogen atom. This theory inspired Italian artist Laura Pesce to create glass pzth entitled “world crystal” see also lower left on this page.

The second is a new nonholonomic mapping principle carrying physical laws in flat spacetime to spacetimes with curvature kldinert torsion, which leads to time-sliced path integrals that are manifestly invariant under coordinate transformations.

Views Read Edit View history. A corresponding extension of the large-order perturbation theory now also applies to small orders. Free University of Berlin. Polyakov simultaneously proposed a similar extension, and so the model is now known as the Polyakov-Kleinert string. Retrieved from ” https: Account Options Sign in. This so-called variational perturbation theory yields at present the most accurate theory of critical exponents [7] observable close to second-order phase transitionsas confirmed for superfluid helium in satellite experiments.

## Hagen Kleinert

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

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

For his contributions to particle and solid state physics he was awarded the Max Born Prize with Medal. This curvature ihtegrals all the effects of general relativitybut leads to different physics than string theory at the scale of the Planck length.

### Hagen Kleinert – Wikipedia

He is married to Dr. He studied physics at the University of Hanover between andand at several American universities including Georgia Institute of Technologywhere he learned general relativity as lath graduate student from George Gamowone of the fathers of the Big Bang theory.

Hagen Kleinert No preview available – A variational treatment extends the range of validity to small barriers. Photo taken in Kleinert’s 60th birthday was honored by a Festschrift and a Festcolloquium with 65 contributions by international colleagues for instance Y.

The Russian physicist A. This page was last edited on 28 Septemberat The convergence is uniform from weak to strong couplings, opening a way to precise evaluations of analytically unsolvable path integrals in the hahen regime where they describe critical phenomena.

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.

The theory is intgrals on a disorder field theory dual to the order field theory of L. Maki he proposed and clarified klfinert a possible icosahedral phase of quasicrystals.

In he introduced [20] stiffness into the theory of stringswhich had formerly been characterized by tension alone. This is the fifth, expanded edition of the comprehensive textbook published in on the theory and applications of path integrals. A consistent implementation of this property leads to an extension of the theory of generalized functions by defining uniquely products of distributions.

Landau for phase transitions which Kleinert developed in the books on Gauge Fields in Kleiinert Matter. Devreeseand K. Please help improve it by revising it to be neutral and encyclopedic.

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. The solutions have been made possible by two major advances.

Annemarie Kleinert since with whom he has a son Michael Kleinert. By using this site, you agree to the Terms of Use and Privacy Policy. From Wikipedia, the free encyclopedia. George Gamow Richard Feynman. 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.

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. Max Born Prize Majorana Prize Inhe kleinegt the existence of a novel Riemann particle.