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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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Hagen Kleinert – Wikipedia

Lettere al Nuovo Cimento. Landau for phase transitions which Kleinert developed in the books on Gauge Fields in Condensed Matter. In he introduced [20] stiffness into the theory of stringswhich had formerly been characterized by tension alone.

From Wikipedia, the free encyclopedia. Kleinert’s 60th birthday was honored by a Festschrift and a Festcolloquium with 65 contributions by international colleagues for instance Y. This page was last edited on 28 Septemberat It is the first book to explicitly solve path integrals of a wide variety of nontrivial quantum-mechanical systems, in particular the hydrogen atom.

Kleinert earned his doctorate in at the University of Colorado, Boulder. Within the quantum field theories of quarks he found the origin [11] of the algebra of Regge residues conjectured by N. He is married to Dr. 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 lntegrals experiments. This greatly improved the description of the physical properties of strings.

Hagen Kleinert

George Gamow Richard Feynman. Max Born Prize Majorana Prize 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. 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.


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. Free University of Berlin. Polyakov simultaneously proposed a similar extension, and so the model is now known as the Polyakov-Kleinert string. Annemarie Kleinert since with whom he has a son Michael Kleinert. By using this site, you inttegrals to the Terms of Use and Privacy Policy. Retrieved from ” https: The powerful Feynman-Kleinert variational approach is explained inhegrals developed systematically into a variational perturbation theory which, in contrast to ordinary perturbation theory, produces convergent results.

The Russian physicist A. The convergence is uniform from weak to strong couplings, opening a way to precise kpeinert of analytically unsolvable path integrals in the strong-coupling regime where they describe critical phenomena.

Inhe considered the existence of a novel Riemann particle. Selected pages Title Page. My library Help Advanced Book Search.

Views Read Edit View history. University of Hanover University of Colorado, Boulder. Photo taken in This curvature reproduces all the effects of general relativitybut leads to different physics than string theory at the scale of the Planck length. For superconductors he predicted in hagsn tricritical point in the phase diagram between type-I and type-II superconductors where the order of the transition changes from second to first.

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

Maki he proposed and clarified in a possible icosahedral phase of quasicrystals. Please help improve it by revising it to be neutral and encyclopedic. A variational treatment extends the range of validity to small barriers. His theory of collective quantum fields [17] and the Hadronization of Quark Theories [18] are prototypes for kleiner developments in the theory of condensed matternuclear and elementary particle physics.

Hagen Kleinert Limited preview – 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. Hagen Kleinert No preview available – His contribution [1] to the memorial volume celebrating k,einert th birthday of Lev Davidovich Landau earned him the Majorana Prize with Medal.

The experimental verification is still missing. A corresponding extension of the large-order perturbation theory now also applies to small orders.

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.