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1.

図書
図書
1. Random iterative models
Marie Duflo ; translated by Stephen S. Wilson
出版情報: Berlin ; Tokyo : Springer, c1997  xv, 385 p. ; 24 cm
シリーズ名: Applications of mathematics ; 34
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2.

図書
図書
2. Machine vision applications in industrial inspection II : 8-9 February 1994, San Jose, California (pbk.)
Benjamin M. Dawson, Stephen S. Wilson, Frederick Y. Wu, chairs/editors ; sponsored by IS&T--the Society for Imaging Science and Technology, SPIE--the International Society for Optical Engineering
出版情報: Bellingham, Wash., USA : SPIE, c1994  ix, 336 p. ; 28 cm
シリーズ名: Proceedings / SPIE -- the International Society for Optical Engineering ; v. 2183
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3.

図書
図書
3. Machine vision applications in industrial inspection III : 8-9 February 1995, San Jose, California
Frederick Y. Wu, Stephen S. Wilson, chairs/editors ; sponsored by IS&T--the Society for Imaging Science and Technology, SPIE--the International Society for Optical Engineering
出版情報: Bellingham, Wash., USA : SPIE, c1995  ix, 378 p. ; 28 cm
シリーズ名: Proceedings / SPIE -- the International Society for Optical Engineering ; v. 2423
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4.

図書
図書
4. Classical theory of gauge fields
Valery Rubakov ; translated by Stephen S. Wilson
出版情報: Princeton : Princeton University Press, c2002  x, 444 p. ; 24 cm
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目次情報: 続きを見る
Preface
Gauge Principle in Electrodynamics / Part I：
Electromagnetic-field action in vacuum / 1.1：
Gauge invariance / 1.2：
General solution of Maxwell's equations in vacuum / 1.3：
Choice of gauge / 1.4：
Scalar and Vector Fields / Chapter 2：
System of units h = c = 1 / 2.1：
Scalarfield action / 2.2：
Massive vectorfield / 2.3：
Complex scalarfield / 2.4：
Degrees of freedom / 2.5：
Interaction offields with external sources / 2.6：
Interactingfields. Gauge-invariant interaction in scalar electrodynamics / 2.7：
Noether's theorem / 2.8：
Elements of the Theory of Lie Groups and Algebras / Chapter 3：
Groups / 3.1：
Lie groups and algebras / 3.2：
Representations of Lie groups and Lie algebras / 3.3：
Compact Lie groups and algebras / 3.4：
Non-Abelian Gauge Fields / Chapter 4：
Non-Abelian global symmetries / 4.1：
Non-Abelian gauge invariance and gaugefields: the group SU(2) / 4.2：
Generalization to other groups / 4.3：
Field equations / 4.4：
Cauchy problem and gauge conditions / 4.5：
Spontaneous Breaking of Global Symmetry / Chapter 5：
Spontaneous breaking of discrete symmetry / 5.1：
Spontaneous breaking of global U(1) symmetry. Nambu-Goldstone bosons / 5.2：
Partial symmetry breaking: the SO(3) model / 5.3：
General case. Goldstone's theorem / 5.4：
Higgs Mechanism / Chapter 6：
Example of an Abelian model / 6.1：
Non-Abelian case: model with complete breaking of SU(2) symmetry / 6.2：
Example of partial breaking of gauge symmetry: bosonic sector of standard electroweak theory / 6.3：
Supplementary Problems for
The Simplest Topological Solitons / Part II：
Kink / 7.1：
Scale transformations and theorems on the absence of solitons / 7.2：
The vortex / 7.3：
Soliton in a model of n-field in (2 + 1)-dimensional space-time / 7.4：
Elements of Homotopy Theory / Chapter 8：
Homotopy of mappings / 8.1：
The fundamental group / 8.2：
Homotopy groups / 8.3：
Fiber bundles and homotopy groups / 8.4：
Summary of the results / 8.5：
Magnetic Monopoles / Chapter 9：
The soliton in a model with gauge group SU(2) / 9.1：
Magnetic charge / 9.2：
Generalization to other models / 9.3：
The limit mh/mv 0 / 9.4：
Dyons / 9.5：
Non-Topological Solitons / Chapter 10：
Tunneling and Euclidean Classical Solutions in Quantum Mechanics / Chapter 11：
Decay of a metastable state in quantum mechanics of one variable / 11.1：
Generalization to the case of many variables / 11.2：
Tunneling in potentials with classical degeneracy / 11.3：
Decay of a False Vacuum in Scalar Field Theory / Chapter 12：
Preliminary considerations / 12.1：
Decay probability: Euclidean bubble (bounce) / 12.2：
Thin-wall approximation / 12.3：
Instantons and Sphalerons in Gauge Theories / Chapter 13：
Euclidean gauge theories / 13.1：
Instantons in Yang-Mills theory / 13.2：
Classical vacua and 0-vacua / 13.3：
Sphalerons in four-dimensional models with the Higgs mechanism / 13.4：
Fermions in Background Fields / Part III：
Free Dirac equation / 14.1：
Solutions of the free Dirac equation. Dirac sea / 14.2：
Fermions in background bosonicfields / 14.3：
Fermionic sector of the Standard Model / 14.4：
Fermions and Topological External Fields in Two-dimensional Models / Chapter 15：
Charge fractionalization / 15.1：
Level crossing and non-conservation of fermion quantum numbers / 15.2：
Fermions in Background Fields of Solitons and Strings in Four-Dimensional Space-Time / Chapter 16：
Fermions in a monopole backgroundfield: integer angular momentum and fermion number fractionalization / 16.1：
Scattering of fermions off a monopole: non-conservation of fermion numbers / 16.2：
Zero modes in a backgroundfield of a vortex: superconducting strings / 16.3：
Preface
Gauge Principle in Electrodynamics / Part I：
Electromagnetic-field action in vacuum / 1.1：
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