Kleinert, Hagen
Overview
Works:  45 works in 194 publications in 3 languages and 6,398 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Dedicatee 
Classifications:  QC174.17.P27, 530.12 
Publication Timeline
.
Most widely held works by
Hagen Kleinert
Path integrals in quantum mechanics, statistics, and polymer physics by
Hagen Kleinert(
Book
)
31 editions published between 1990 and 2004 in English and German and held by 463 WorldCat member libraries worldwide
31 editions published between 1990 and 2004 in English and German and held by 463 WorldCat member libraries worldwide
Gauge fields in condensed matter by
Hagen Kleinert(
Book
)
13 editions published in 1989 in English and Undetermined and held by 195 WorldCat member libraries worldwide
13 editions published in 1989 in English and Undetermined and held by 195 WorldCat member libraries worldwide
Path integrals in quantum mechanics, statistics, polymer physics, and financial markets by
Hagen Kleinert(
Book
)
12 editions published between 2004 and 2010 in English and held by 161 WorldCat member libraries worldwide
"This is the fifth, expanded edition of the comprehensive textbook published in 1990 on the theory and applications of path integrals. It is the first book to explicitly solve path integrals of a wide variety of nontrivial quantummechanical systems, in particular the hydrogen atom. The solutions have become possible by two major advances. The first is a new euclidean path integral formula which increases the restricted range of applicability of Feynman's famous formula to include singular attractive 1/r and 1/r[superscript 2] potentials. The second is a simple quantum equivalence principle governing the transformation of euclidean path integrals to spaces with curvature and torsion, which leads to timesliced path integrals that are manifestly invariant under coordinate transformations." "In addition to the timesliced definition, the author gives a perturbative definition of path integrals which makes them invariant under coordinate transformations. A consistent implementation of this property leads to an extension of the theory of generalized functions by defining uniquely integrals over products of distributions." "The powerful FeynmanKleinert variational approach is explained and developed systematically into a variational perturbation theory which, in contrast to ordinary perturbation theory, produces convergent expansions. The convergence is uniform from weak to strong couplings, opening a way to precise approximate evaluations of analytically unsolvable path integrals." "Tunneling processes are treated in detail. The results are used to determine the lifetime of supercurrents, the stability of metastable thermodynamic phases, and the largeorder behavior of perturbation expansions. A new variational treatment extends the range of validity of previous tunneling theories from large to small barriers. A corresponding extension of largeorder perturbation theory now also applies to small orders." "Special attention is devoted to path integrals with topological restrictions. These are relevant to the understanding of the statistical properties of elementary particles and the entanglement phenomena in polymer physics and biophysics. The ChernSimons theory of particles with fractional statistics (anyons) is introduced and applied to explain the fractional quantum Hall effect." "The relevance of path integrals to financial markets is discussed, and improvements of the famous BlackScholes formula for option prices are developed which account for the fact that large market fluctuations occur much more frequently than in Gaussian distributions."Jacket
12 editions published between 2004 and 2010 in English and held by 161 WorldCat member libraries worldwide
"This is the fifth, expanded edition of the comprehensive textbook published in 1990 on the theory and applications of path integrals. It is the first book to explicitly solve path integrals of a wide variety of nontrivial quantummechanical systems, in particular the hydrogen atom. The solutions have become possible by two major advances. The first is a new euclidean path integral formula which increases the restricted range of applicability of Feynman's famous formula to include singular attractive 1/r and 1/r[superscript 2] potentials. The second is a simple quantum equivalence principle governing the transformation of euclidean path integrals to spaces with curvature and torsion, which leads to timesliced path integrals that are manifestly invariant under coordinate transformations." "In addition to the timesliced definition, the author gives a perturbative definition of path integrals which makes them invariant under coordinate transformations. A consistent implementation of this property leads to an extension of the theory of generalized functions by defining uniquely integrals over products of distributions." "The powerful FeynmanKleinert variational approach is explained and developed systematically into a variational perturbation theory which, in contrast to ordinary perturbation theory, produces convergent expansions. The convergence is uniform from weak to strong couplings, opening a way to precise approximate evaluations of analytically unsolvable path integrals." "Tunneling processes are treated in detail. The results are used to determine the lifetime of supercurrents, the stability of metastable thermodynamic phases, and the largeorder behavior of perturbation expansions. A new variational treatment extends the range of validity of previous tunneling theories from large to small barriers. A corresponding extension of largeorder perturbation theory now also applies to small orders." "Special attention is devoted to path integrals with topological restrictions. These are relevant to the understanding of the statistical properties of elementary particles and the entanglement phenomena in polymer physics and biophysics. The ChernSimons theory of particles with fractional statistics (anyons) is introduced and applied to explain the fractional quantum Hall effect." "The relevance of path integrals to financial markets is discussed, and improvements of the famous BlackScholes formula for option prices are developed which account for the fact that large market fluctuations occur much more frequently than in Gaussian distributions."Jacket
Multivalued fields in condensed matter, electromagnetism, and gravitation by
Hagen Kleinert(
Book
)
9 editions published in 2008 in English and Undetermined and held by 161 WorldCat member libraries worldwide
"This book lays the foundations of a theory of fluctuating multivalued fields with numerous applications. Most prominent are phenomena dominated by the statistical mechanics of linelike objects, such as the phase transitions in superfluids and superconductors, and the melting process of crystals, all being the consequence of a condensation of vortex or defect lines. The phenomenon of charge confinement can also be explained if the electromagnetic potential is a multivalued field which is able lo produce a condensate of magnetic monopoles. There an electric version of the Meissner effect leads to electric flux tubes between charges which bind them permanently together. A third application defines the mathematics of RiemannCartan geometry with curvature and torsion and the associated laws of gravity from a new model of spacetime: a worldcrystal with translational and rotational defects." "The book provides students.and researchers with supplementary reading material for graduate courses on phase transitions, quantum field theory, gravitational physics, and differential geometry."Jacket
9 editions published in 2008 in English and Undetermined and held by 161 WorldCat member libraries worldwide
"This book lays the foundations of a theory of fluctuating multivalued fields with numerous applications. Most prominent are phenomena dominated by the statistical mechanics of linelike objects, such as the phase transitions in superfluids and superconductors, and the melting process of crystals, all being the consequence of a condensation of vortex or defect lines. The phenomenon of charge confinement can also be explained if the electromagnetic potential is a multivalued field which is able lo produce a condensate of magnetic monopoles. There an electric version of the Meissner effect leads to electric flux tubes between charges which bind them permanently together. A third application defines the mathematics of RiemannCartan geometry with curvature and torsion and the associated laws of gravity from a new model of spacetime: a worldcrystal with translational and rotational defects." "The book provides students.and researchers with supplementary reading material for graduate courses on phase transitions, quantum field theory, gravitational physics, and differential geometry."Jacket
Critical properties of [Greek letter phi]⁴theories by
Hagen Kleinert(
Book
)
17 editions published in 2001 in English and held by 139 WorldCat member libraries worldwide
17 editions published in 2001 in English and held by 139 WorldCat member libraries worldwide
Fluctuating paths and fields : festschrift dedicated to Hagen Kleinert on the occasion of his 60th birthday by
W Janke(
Book
)
9 editions published in 2001 in English and Undetermined and held by 97 WorldCat member libraries worldwide
This volume covers the following fields: path integrals, quantum field theory, variational perturbation theory, phase transitions and critical phenomena, topological defects, strings and membranes, gravitation and cosmology
9 editions published in 2001 in English and Undetermined and held by 97 WorldCat member libraries worldwide
This volume covers the following fields: path integrals, quantum field theory, variational perturbation theory, phase transitions and critical phenomena, topological defects, strings and membranes, gravitation and cosmology
The Eleventh Marcel Grossmann Meeting : on recent developments in theoretical and experimental general relativity, gravitation
and relativistic field theories : proceedings of the MG11 Meeting on General Relativity, Berlin, Germany, 2329 July 2006 by Marcel Grossmann Meeting on General Relativity(
Book
)
12 editions published between 2006 and 2008 in English and held by 43 WorldCat member libraries worldwide
The Marcel Grossman Meetings are threeyearly forums that meet to discuss recent advances in gravitation, general relativity and relativistic field theories, emphasizing their mathematical foundations, physical predictions and experimental tests. These meetings aim to facilitate the exchange of ideas among scientists, to deepen our understanding of spacetime structures, and to review the status of ongoing experiments and observations testing Einstein's theory of gravitation either from ground or spacebased experiments. Since the first meeting in 1975 in Trieste, Italy, which was established by Remo Ruffini and Abdus Salam, the range of topics presented at these meetings has gradually widened to accommodate issues of major scientific interest, and attendance has grown to attract more than 900 participants from over 80 countries. This proceedings volume of the eleventh meeting in the series, held in Berlin in 2006, highlights and records the developments and applications of Einstein's theory in diverse areas ranging from fundamental field theories to particle physics, astrophysics and cosmology, made possible by unprecedented technological developments in experimental and observational techniques from space, ground and underground observatories. It provides a broad sampling of the current work in the field, especially relativistic astrophysics, including many reviews by leading figures in the research community
12 editions published between 2006 and 2008 in English and held by 43 WorldCat member libraries worldwide
The Marcel Grossman Meetings are threeyearly forums that meet to discuss recent advances in gravitation, general relativity and relativistic field theories, emphasizing their mathematical foundations, physical predictions and experimental tests. These meetings aim to facilitate the exchange of ideas among scientists, to deepen our understanding of spacetime structures, and to review the status of ongoing experiments and observations testing Einstein's theory of gravitation either from ground or spacebased experiments. Since the first meeting in 1975 in Trieste, Italy, which was established by Remo Ruffini and Abdus Salam, the range of topics presented at these meetings has gradually widened to accommodate issues of major scientific interest, and attendance has grown to attract more than 900 participants from over 80 countries. This proceedings volume of the eleventh meeting in the series, held in Berlin in 2006, highlights and records the developments and applications of Einstein's theory in diverse areas ranging from fundamental field theories to particle physics, astrophysics and cosmology, made possible by unprecedented technological developments in experimental and observational techniques from space, ground and underground observatories. It provides a broad sampling of the current work in the field, especially relativistic astrophysics, including many reviews by leading figures in the research community
Particles and quantum fields by
Hagen Kleinert(
Book
)
6 editions published in 2016 in English and held by 42 WorldCat member libraries worldwide
"This book arose from lectures I gave at the Freie Universität Berlin over the past five decades. They were intended to prepare graduate students for their research in elementaryparticle physics or in manybody theory of condensed matter. They should serve as a general introduction and a basis for understanding more advanced work on the subject"Page vii
6 editions published in 2016 in English and held by 42 WorldCat member libraries worldwide
"This book arose from lectures I gave at the Freie Universität Berlin over the past five decades. They were intended to prepare graduate students for their research in elementaryparticle physics or in manybody theory of condensed matter. They should serve as a general introduction and a basis for understanding more advanced work on the subject"Page vii
Gauge fields in condensed matter by
Hagen Kleinert(
Book
)
10 editions published in 1989 in English and held by 32 WorldCat member libraries worldwide
10 editions published in 1989 in English and held by 32 WorldCat member libraries worldwide
Gauge fields in condensed matter by
Hagen Kleinert(
Book
)
9 editions published in 1989 in English and held by 28 WorldCat member libraries worldwide
9 editions published in 1989 in English and held by 28 WorldCat member libraries worldwide
Critical properties of ø4theories by
Hagen Kleinert(
Book
)
4 editions published in 2001 in English and held by 12 WorldCat member libraries worldwide
4 editions published in 2001 in English and held by 12 WorldCat member libraries worldwide
Superflow and vortex lines : disorder fields, phase transitions by
Hagen Kleinert(
Book
)
4 editions published in 1989 in English and Undetermined and held by 12 WorldCat member libraries worldwide
4 editions published in 1989 in English and Undetermined and held by 12 WorldCat member libraries worldwide
Electron scattering, photoexcitation and nuclear models by
Herbert Überall(
Book
)
5 editions published in 1969 in English and held by 10 WorldCat member libraries worldwide
5 editions published in 1969 in English and held by 10 WorldCat member libraries worldwide
The Eleventh Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation
and Relativistic Field Theories : proceedings of the MG11 Meeting on General Relativity; Berlin, Germany, 2329 July 2006 by Gravitation and Relativistic Field Theories Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity(
Book
)
5 editions published in 2008 in English and held by 10 WorldCat member libraries worldwide
5 editions published in 2008 in English and held by 10 WorldCat member libraries worldwide
Stresses and defects : differential geometry, crystal meeting by
Hagen Kleinert(
Book
)
4 editions published in 1989 in English and Undetermined and held by 10 WorldCat member libraries worldwide
4 editions published in 1989 in English and Undetermined and held by 10 WorldCat member libraries worldwide
Proceedings of the The Eleventh Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity,
Gravitation and Relativistic Field Theories : proceedings of the MG11 Meeting on General Relativity; Berlin, Germany, 23 
29 July 2006(
Book
)
2 editions published in 2008 in English and held by 10 WorldCat member libraries worldwide
2 editions published in 2008 in English and held by 10 WorldCat member libraries worldwide
Critical properties of phi 4 theories by
Hagen Kleinert(
Book
)
4 editions published in 2001 in Undetermined and English and held by 8 WorldCat member libraries worldwide
7.4 Anomaly in the Ward IdentitiesNotes and References; 8 Regularization of Feynman Integrals; 8.1 Regularization; 8.2 Dimensional Regularization; 8.2.1 Calculation in Dimensional Regularization; 8.2.2 Dimensional Regularization via Proper Time Representation; 8.2.3 Tensor Structures; 8.2.4 Dimensional Regularization of 't Hooft and Veltman; 8.2.5 Subtraction Method; 8.3 Calculation of OneParticleIrreducible Diagrams up to Two Loops in Dimensional Regularization; 8.3.1 OneLoop Diagrams; 8.3.2 TwoLoop SelfEnergy Diagrams; 8.3.3 TwoLoop Diagram of FourPoint Function
4 editions published in 2001 in Undetermined and English and held by 8 WorldCat member libraries worldwide
7.4 Anomaly in the Ward IdentitiesNotes and References; 8 Regularization of Feynman Integrals; 8.1 Regularization; 8.2 Dimensional Regularization; 8.2.1 Calculation in Dimensional Regularization; 8.2.2 Dimensional Regularization via Proper Time Representation; 8.2.3 Tensor Structures; 8.2.4 Dimensional Regularization of 't Hooft and Veltman; 8.2.5 Subtraction Method; 8.3 Calculation of OneParticleIrreducible Diagrams up to Two Loops in Dimensional Regularization; 8.3.1 OneLoop Diagrams; 8.3.2 TwoLoop SelfEnergy Diagrams; 8.3.3 TwoLoop Diagram of FourPoint Function
Feynman, génie iconoclaste by
Elena Castellani(
Book
)
1 edition published in 2004 in French and held by 6 WorldCat member libraries worldwide
1 edition published in 2004 in French and held by 6 WorldCat member libraries worldwide
Introduction to theory and guide to practical applications by
Hagen Kleinert(
Book
)
1 edition published in 2004 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 2004 in English and held by 4 WorldCat member libraries worldwide
The Eleventh Marcel Grossmann Meeting. on recent developments in theoretical and experimental general relativity, gravitation
and relativistic field theories : proceedings of the MG11 Meeting on General Relativity, Berlin, Germany, 2329 July 2006 by
Hagen Kleinert(
Book
)
5 editions published in 2008 in English and held by 3 WorldCat member libraries worldwide
The Marcel Grossmann Meetings are threeyearly forums that meet to discuss recent advances in gravitation, general relativity and relativistic field theories, emphasizing their mathematical foundations, physical predictions and experimental tests. These meetings aim to facilitate the exchange of ideas among scientists, to deepen our understanding of spacetime structures, and to review the status of ongoing experiments and observations testing Einstein's theory of gravitation either from ground or spacebased experiments. Since the first meeting in 1975 in Trieste, Italy, which was established by Remo Ruffini and Abdus Salam, the range of topics presented at these meetings has gradually widened to accommodate issues of major scientific interest, and attendance has grown to attract more than 900 participants from over 80 countries. This proceedings volume of the eleventh meeting in the series, held in Berlin in 2006, highlights and records the developments and applications of Einstein's theory in diverse areas ranging from fundamental field theories to particle physics, astrophysics and cosmology, made possible by unprecedented technological developments in experimental and observational techniques from space, ground and underground observatories. It provides a broad sampling of the current work in the field, especially relativistic astrophysics, including many reviews by leading figures in the research community
5 editions published in 2008 in English and held by 3 WorldCat member libraries worldwide
The Marcel Grossmann Meetings are threeyearly forums that meet to discuss recent advances in gravitation, general relativity and relativistic field theories, emphasizing their mathematical foundations, physical predictions and experimental tests. These meetings aim to facilitate the exchange of ideas among scientists, to deepen our understanding of spacetime structures, and to review the status of ongoing experiments and observations testing Einstein's theory of gravitation either from ground or spacebased experiments. Since the first meeting in 1975 in Trieste, Italy, which was established by Remo Ruffini and Abdus Salam, the range of topics presented at these meetings has gradually widened to accommodate issues of major scientific interest, and attendance has grown to attract more than 900 participants from over 80 countries. This proceedings volume of the eleventh meeting in the series, held in Berlin in 2006, highlights and records the developments and applications of Einstein's theory in diverse areas ranging from fundamental field theories to particle physics, astrophysics and cosmology, made possible by unprecedented technological developments in experimental and observational techniques from space, ground and underground observatories. It provides a broad sampling of the current work in the field, especially relativistic astrophysics, including many reviews by leading figures in the research community
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Related Identities
 SchulteFrohlinde, Verena Author
 Janke, W. (Wolfhard) Author Editor
 Jantzen, Robert T. Editor
 World Scientific (Firm)
 Ruffini, Remo Editor
 Überall, Herbert Author
 SchulteFrohlinde, Verena
 Castellani, Elena Author
 Castellani, Leonardo
 Janke, W.
Useful Links
Associated Subjects
Algebras, Linear Astrophysics Baryons Cosmology Crystals CrystalsDefects ElectronsScattering Field theory (Physics) Gauge fields (Physics) General relativity (Physics) Gravitation Nuclear excitation Particles (Nuclear physics) Path integrals Perturbation (Quantum dynamics) Phase transformations (Statistical physics) Physics Polymers Quantum field theory Quantum gravity Quantum theory Statistical physics Superfluidity Valued fields
Alternative Names
Hagen Klajnert
Hagen Kleinert Duits natuurkundige
Hagen Kleinert fisico tedesco
Hagen Kleinert German physicist
Hagen Kleinert physicien allemand
Hagen Kleinert tysk fysikar
Hagen Kleinert tysk fysiker
Kleinert, H.
Kleinert, H. 1941
Kleinert, H. (Hagen)
Χάγκεν Κλάινερτ
Кляйнерт, Хаген
Хаген Клајнерт
קלינרט האגן
هاغين كلاينيرت
هاگن کلاینرت فیزیکدان آلمانی
ஆகென் கிலிநெர்டு
ハーゲン・クライネルト
哈根·克莱纳特
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