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 Universit├Ąt Berlin, Germany.

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Kleinert is a senior member of the faculty for the International Relativistic Astrophysics Ph. Within the quantum field theories of quarks he found the origin [11] of the algebra of Regge residues conjectured by N.

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Kleinert’s 60th klejnert was honored by a Festschrift and a Festcolloquium with 65 contributions by international colleagues for instance Y. Hagen Kleinert No preview available – At the summer school in Erice he proposed the existence of broken supersymmetry in atomic nuclei, [15] which has since been observed experimentally.

This greatly improved ihtegrals description of the physical properties of strings. Please help improve it by revising it to be neutral and encyclopedic. A variational treatment extends the range of validity to small barriers. This theory inspired Italian artist Laura Pesce to create glass sculptures entitled “world crystal” see also lower left on this page. 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.


My library Help Advanced Book Search. Devreeseand K. Later, Kleinert was to collaborate with Feynman [5] in some of the latter’s last work. A consistent implementation of this property leads to an kleinett of the theory of generalized functions by defining uniquely products of distributions.

For superconductors he predicted in a tricritical point in the phase diagram between type-I and type-II superconductors inegrals the order of the transition changes from second to first. Inhe considered the existence of a pagh Riemann particle. The experimental verification is still missing.

In he introduced [20] stiffness into the theory of stringswhich had formerly been characterized by tension alone. Itnegrals Russian physicist A. This curvature reproduces all the effects of general relativitybut leads to different physics than string theory at the scale of the Planck length. Tunneling processes are treated in detail, with applications to the lifetimes of supercurrents, the stability of metastable thermodynamic phases, and the large-order behavior of perturbation expansions.

Homepage of Hagen Kleinert

As an lleinert 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. The theory is based on a disorder field theory dual to the order field theory of L. From Wikipedia, the free encyclopedia. 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.

Hagen Kleinert

The solutions have been made possible by two major advances. 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 hagsn. Annemarie Kleinert since with whom he has a son Michael Kleinert.


For his contributions to particle and solid state physics he was awarded the Max Born Prize with Medal. Kleinert earned his doctorate in at the University of Colorado, Boulder. Chervyakov, Kleinert developed an extension of the theory of distributions from linear spaces to semigroups by defining hagdn products uniquely in the mathematical theory, only linear combinations are defined.

Free University of Berlin.

Selected pages Title Page. His contribution [1] to the memorial volume celebrating the th birthday of Lev Davidovich Landau earned him the Majorana Prize with Medal. Landau for phase transitions which Kleinert developed in the books on Gauge Fields in Condensed Matter. This is the fifth, expanded edition of the comprehensive textbook published in on the theory and applications of path integrals.

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.

In this model, matter creates defects in spacetime which generate curvature. Max Born Prize Majorana Prize It is the first book to explicitly solve path integrals of a paath variety of nontrivial quantum-mechanical systems, in particular the hydrogen atom.

Hagen Kleinert Limited preview – Lettere al Nuovo Cimento. Account Options Sign in.