Eilenberger, G.
Overview
Works:  21 works in 65 publications in 4 languages and 647 library holdings 

Roles:  Author, Creator 
Publication Timeline
.
Most widely held works by
G Eilenberger
Solitons : mathematical methods for physicists by
G Eilenberger(
Book
)
32 editions published between 1963 and 1993 in 3 languages and held by 531 WorldCat member libraries worldwide
1.1 Why Study Solitons? The last century of physics, which was initiated by Maxwell's completion of the theory of electromagnetism, can, with some justification, be called the era of linear physi cs. ~Jith few excepti ons, the methods of theoreti ca 1 phys ics have been dominated by linear equations (Maxwell, Schrodinger), linear mathematical objects (vector spaces, in particular Hilbert spaces), and linear methods (Fourier transforms, perturbation theory, linear response theory) . Naturally the importance of nonlinearity, beginning with the NavierStokes equations and continuing to gravitation theory and the interactions of par ticles in solids, nuclei, and quantized fields, was recognized. However, it was hardly possible to treat the effects of nonlinearity, except as a per turbation to the basis solutions of the linearized theory. During the last decade, it has become more widely recognized in many areas of "field physics" that nonlinearity can result in qualitatively new phenom ena which cannot be constructed via perturbation theory starting from linear ized equations. By "field physics" we mean all those areas of theoretical physics for which the description of physical phenomena leads one to consider field equations, or partial differential equations of the form (1.1.1) ~t or ~tt = F(~, ~x ...) for one or manycomponent "fields" Ht, x, y ...) (or their quantum analogs)
32 editions published between 1963 and 1993 in 3 languages and held by 531 WorldCat member libraries worldwide
1.1 Why Study Solitons? The last century of physics, which was initiated by Maxwell's completion of the theory of electromagnetism, can, with some justification, be called the era of linear physi cs. ~Jith few excepti ons, the methods of theoreti ca 1 phys ics have been dominated by linear equations (Maxwell, Schrodinger), linear mathematical objects (vector spaces, in particular Hilbert spaces), and linear methods (Fourier transforms, perturbation theory, linear response theory) . Naturally the importance of nonlinearity, beginning with the NavierStokes equations and continuing to gravitation theory and the interactions of par ticles in solids, nuclei, and quantized fields, was recognized. However, it was hardly possible to treat the effects of nonlinearity, except as a per turbation to the basis solutions of the linearized theory. During the last decade, it has become more widely recognized in many areas of "field physics" that nonlinearity can result in qualitatively new phenom ena which cannot be constructed via perturbation theory starting from linear ized equations. By "field physics" we mean all those areas of theoretical physics for which the description of physical phenomena leads one to consider field equations, or partial differential equations of the form (1.1.1) ~t or ~tt = F(~, ~x ...) for one or manycomponent "fields" Ht, x, y ...) (or their quantum analogs)
Hundert Jahre Friedrich Hund : ein Rückblick auf das Wirken eines bedeutenden Physikers(
Book
)
4 editions published in 1996 in German and held by 64 WorldCat member libraries worldwide
4 editions published in 1996 in German and held by 64 WorldCat member libraries worldwide
Abschlussbericht für das Vorhaben: HochgeschwindigkeitsTelekommunikationsnetze mit innovativen Netzknoten (SpeedNet) bestehend
aus den Teilprojekten "BurstNet" und "SpiderGate" : [Laufzeit: 01.06.2002  31.08.2005](
)
2 editions published in 2006 in German and held by 9 WorldCat member libraries worldwide
2 editions published in 2006 in German and held by 9 WorldCat member libraries worldwide
A program suite for the analysis of Duffing's equation : supplemented by: XDOC, a program documentation system by Klaus Schmidt(
Book
)
4 editions published in 1998 in English and German and held by 9 WorldCat member libraries worldwide
4 editions published in 1998 in English and German and held by 9 WorldCat member libraries worldwide
Flexible MultiLayer Konzepte mit integrierter Steuerung für zukünftige optische Transportnetze (FLINTSTONE) : Förderschwerpunkt:
Netz der Zukunft  Eibone (Efficient integrated backbone) ; Schlussbericht des Vorhabens ; Laufzeit: 01.09.2005  31.08.2008(
)
1 edition published in 2009 in German and held by 8 WorldCat member libraries worldwide
1 edition published in 2009 in German and held by 8 WorldCat member libraries worldwide
Libertà, scienza, estetica by
G Eilenberger(
)
1 edition published in 1987 in Italian and held by 4 WorldCat member libraries worldwide
1 edition published in 1987 in Italian and held by 4 WorldCat member libraries worldwide
Ein Beitrag zur Theorie der inneren Feldemission : (Mit 3 Fig. im Text) by
G Eilenberger(
Book
)
3 editions published in 1961 in German and held by 4 WorldCat member libraries worldwide
3 editions published in 1961 in German and held by 4 WorldCat member libraries worldwide
Solitons Mathematical Methods for Physicists (Volume 19) by
G Eilenberger(
)
3 editions published in 1981 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1981 in English and held by 3 WorldCat member libraries worldwide
Ableitung verallgemeinerter GinzburgLandauGleichungen für reine Supraleiter aus einem Variationsprinzip by
G Eilenberger(
Book
)
1 edition published in 1965 in German and held by 2 WorldCat member libraries worldwide
1 edition published in 1965 in German and held by 2 WorldCat member libraries worldwide
Innovative Kommunikationsnetze (KomNet): ein optisches WDMRingnetz für Breitbandanwendungen im Citybereich (GIGARING) :
Abschlussbericht(
Book
)
2 editions published in 2002 in German and held by 2 WorldCat member libraries worldwide
2 editions published in 2002 in German and held by 2 WorldCat member libraries worldwide
Analytic properties of onedimensional Bloch functions by
G Eilenberger(
Book
)
2 editions published in 1963 in English and held by 2 WorldCat member libraries worldwide
The analytic properties as functions of wave number k of the solutions of a singleelectron Schrodinger equation for onedimensional periodic potentials with inversion symmetry have been treated by Kohn for nonconnected energy bands. Kohns results are generalized in order to include the case of missing inversion symmetry and connected bands; already known results are reviewed to a certain extent in order to treat the generalizations in a closed frame. A simple proof is given, that the Schrodinger equation, considered as differential equation with initial conditions, has solutions which are holomorphic as functions of the parameter E throughout the whole complex Eplane even in the very singular cases when the potential contains 8functions or infinities which are not too strong. The Floquet functions are then constructed in the usual way. The asymptotic behavior of the functions for large (E) is discussed in a detailed way and some remarks are made in the case of singular potentials. The inverse of the function E(k) is also considered. The structure of the Riemannian surface of E(k) is obtained. The Bloch functions are normalized without assuming inversion symmetry for the potential. Their analytic structure turns out to be somewhat more complicated than that of E(k). (Author)
2 editions published in 1963 in English and held by 2 WorldCat member libraries worldwide
The analytic properties as functions of wave number k of the solutions of a singleelectron Schrodinger equation for onedimensional periodic potentials with inversion symmetry have been treated by Kohn for nonconnected energy bands. Kohns results are generalized in order to include the case of missing inversion symmetry and connected bands; already known results are reviewed to a certain extent in order to treat the generalizations in a closed frame. A simple proof is given, that the Schrodinger equation, considered as differential equation with initial conditions, has solutions which are holomorphic as functions of the parameter E throughout the whole complex Eplane even in the very singular cases when the potential contains 8functions or infinities which are not too strong. The Floquet functions are then constructed in the usual way. The asymptotic behavior of the functions for large (E) is discussed in a detailed way and some remarks are made in the case of singular potentials. The inverse of the function E(k) is also considered. The structure of the Riemannian surface of E(k) is obtained. The Bloch functions are normalized without assuming inversion symmetry for the potential. Their analytic structure turns out to be somewhat more complicated than that of E(k). (Author)
Optical solutions for the access network by
G Eilenberger(
)
1 edition published in 1998 in English and held by 1 WorldCat member library worldwide
1 edition published in 1998 in English and held by 1 WorldCat member library worldwide
Nichtlineare Dynamik in kondensierter Materie : vom 28. Febr. bis 11. März 1983 in der Kernforschungsanlage Jülich(
Book
)
1 edition published in 1985 in German and held by 1 WorldCat member library worldwide
1 edition published in 1985 in German and held by 1 WorldCat member library worldwide
Thermodynamic fluctuations of the order parameter in type ii superconductors near the upper critical field h sub c2(
Book
)
1 edition published in 1967 in English and held by 1 WorldCat member library worldwide
An investigation was made of the mean square deviation of the order parameter from its equilibrium for Type II Superconductors, assuming that the Gibbs free energy is given by a GinzburgLandau type functional. It turns out, that the equilibrium function, which is already varying with position because of the penetrating magnetic flux, resists distortion much less than the constant order parameter in type I superconductors. Therefore, the mean square deviation becomes equal in magnitude to the square of the equilibrium order parameter in the magnetic field range ((H sub c2)B)/(H sub c2) approx. <0.0001 to 0.00001. This means, that the range of magnetic fields, in which GinzburgLandau type descriptions should fail and a singular behavior might show up seems not entirely out of reach of present experimental techniques in contrast to the situation in type I superconductors. (Author)
1 edition published in 1967 in English and held by 1 WorldCat member library worldwide
An investigation was made of the mean square deviation of the order parameter from its equilibrium for Type II Superconductors, assuming that the Gibbs free energy is given by a GinzburgLandau type functional. It turns out, that the equilibrium function, which is already varying with position because of the penetrating magnetic flux, resists distortion much less than the constant order parameter in type I superconductors. Therefore, the mean square deviation becomes equal in magnitude to the square of the equilibrium order parameter in the magnetic field range ((H sub c2)B)/(H sub c2) approx. <0.0001 to 0.00001. This means, that the range of magnetic fields, in which GinzburgLandau type descriptions should fail and a singular behavior might show up seems not entirely out of reach of present experimental techniques in contrast to the situation in type I superconductors. (Author)
Determination of kappa1(t) and kappa2(t) for type two superconductors with arbitrary impurity concentration(
Book
)
1 edition published in 1966 in English and held by 1 WorldCat member library worldwide
Formulas are derived for the constants kappa1 and kappa2 of superconducting alloys for arbitrary temperatures and impurity concentrations. Beginning with Gorkov's equations in matrixform, the free energy density is calculated using Abrikosov's assumption of a fluxoid lattice. The impurities are treated by the usual averaging technique, retaining only sand pscattering, and a special technique is developed to treat exactly the nonvanishing commutator of different components of the gauge invariant derivative. The results contain the already known limiting cases. Intermediate values are obtained by performing machine calculations using the general formulas developed here. It is found that the values of kappa1 and kappa2 drop relatively strongly even for small impurity concentration, and also depend unexpectedly strongly on the ratio of sand pscattering. The recent result of Cyrot, Caroli and de Gennes is confirmed according to which kappa2 is approximately equal to kappa1 in the firty limit. (Author)
1 edition published in 1966 in English and held by 1 WorldCat member library worldwide
Formulas are derived for the constants kappa1 and kappa2 of superconducting alloys for arbitrary temperatures and impurity concentrations. Beginning with Gorkov's equations in matrixform, the free energy density is calculated using Abrikosov's assumption of a fluxoid lattice. The impurities are treated by the usual averaging technique, retaining only sand pscattering, and a special technique is developed to treat exactly the nonvanishing commutator of different components of the gauge invariant derivative. The results contain the already known limiting cases. Intermediate values are obtained by performing machine calculations using the general formulas developed here. It is found that the values of kappa1 and kappa2 drop relatively strongly even for small impurity concentration, and also depend unexpectedly strongly on the ratio of sand pscattering. The recent result of Cyrot, Caroli and de Gennes is confirmed according to which kappa2 is approximately equal to kappa1 in the firty limit. (Author)
Schoenheit im Chaos : Bilder aus der Theorie komplexer Systeme = Frontiers of chaos : computer graphics face complex dynamics(
Book
)
1 edition published in 1985 in German and held by 1 WorldCat member library worldwide
1 edition published in 1985 in German and held by 1 WorldCat member library worldwide
Zwanzig Jahre Physikzentrum Bad Honnef : Festschrift(
Book
)
1 edition published in 1996 in German and held by 1 WorldCat member library worldwide
1 edition published in 1996 in German and held by 1 WorldCat member library worldwide
Soluciones opticas para la red de acceso by
G Eilenberger(
)
1 edition published in 1998 in Spanish and held by 1 WorldCat member library worldwide
1 edition published in 1998 in Spanish and held by 1 WorldCat member library worldwide
Solitons : mathematicals methods for physicists by
G Eilenberger(
Book
)
1 edition published in 1983 in English and held by 1 WorldCat member library worldwide
1 edition published in 1983 in English and held by 1 WorldCat member library worldwide
Flexible MultiLayer Konzepte mit integrierter Steuerung für zukünftige optische Transportnetze (FLINTSTONE) : Förderschwerpunkt:
Netz der Zukunft  Eibone (Efficient integrated backbone) ; Schlussbericht des Vorhabens ; Laufzeit: 01.09.200531.08.2008(
Book
)
1 edition published in 2009 in German and held by 1 WorldCat member library worldwide
1 edition published in 2009 in German and held by 1 WorldCat member library worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
Useful Links
Associated Subjects