Theoretical Physics Fin de Siecle

Foreword......Page 5
Jan Lopuszanski - the Man and His Achievments......Page 7
List of Participants......Page 12
Contents......Page 17
About the Volume......Page 20
Introduction......Page 24
1 Molecules and Chemical Forces in the Old Quantum Theory (1920-1923)......Page 26
2 Göttingen, a Center of the Quantum Mechanics of Molecules (1925-1930)......Page 28
3 Born and the Theory of Chemical Binding (1930-1933)......Page 32
References......Page 35
1 Introduction......Page 38
2 Proposal of a Picture and Terminology......Page 43
1 Introduction. Many-Valued Logic and Nondistributive Logic......Page 47
2 Classical (Non-Quantum) Modality......Page 55
3 Quantum Modality......Page 58
4 Modal Interpretation of Classical and Quantum Physics......Page 60
References......Page 63
1 Introduction......Page 67
2.1 Classical Theory......Page 68
2.2 The Equation......Page 70
2.3 The Potential......Page 72
2.4 Poincar e Invariance......Page 76
3.1 The Position Operator......Page 78
3.2 Nonlocal Interactions......Page 81
3.3 The Model......Page 85
4 Conclusions......Page 87
References......Page 88
1 Introduction......Page 90
2.1 1d - Classical Mechanics......Page 92
2.2 Quantum Mechanics of the Deformed 1d-Oscillator......Page 93
2.3 The Singular Oscillator......Page 99
2.4 Arbitrary Potentials V (x)......Page 101
3 Systems with Two Degrees of Freedom......Page 102
4 The s-Equivalence for Spherically Symmetric Potentials Revisited......Page 104
5 Interactions as Modified Commutators in Quantum Field Theory......Page 105
References......Page 106
1 Introduction......Page 108
2 Relativistic Wave Equation......Page 109
3 Quantum Fields......Page 112
References......Page 115
1 Introduction......Page 117
2 The Constructive Program......Page 118
3.1 Relative Coordinates......Page 122
3.2 Elementary Symmetric Polynomials......Page 123
3.3 The AN-1 Series......Page 124
3.4 The G2 and AG3 Models......Page 126
4.1 The BCN and DN Models......Page 130
4.2 The F4 Model......Page 132
5 Coxeter Groups, Orbits and Prepotentials......Page 134
References......Page 138
1 Introduction......Page 140
2 Generalizations......Page 142
3 Examples......Page 143
References......Page 146
The Particle Structure Implies Relative Entropy Bounds......Page 148
1 The Relative Entropy Bounds for Gibbs Measures......Page 149
2 Equivalence of Equilibrium and Non-Equilibrium Descriptions......Page 150
4 Strong Decay to Equilibrium in Disordered Systems......Page 152
5 The Relative Entropy Estimates in Quantum Systems......Page 153
6 Hypercontractivity in Noncommutative ILp Spaces......Page 154
7 Spectral Theory of Hypercontractive Semigroups......Page 155
References......Page 157
2 The Algebraic Structure......Page 160
3.1 Basic Definitions......Page 162
3.2 Examples of Topological Partial *-Algebras......Page 164
4 Partial *-Algebras of Closable Operators......Page 167
5.1 Generalities......Page 169
5.2 The GNS Construction......Page 170
6.1 *-Automorphisms......Page 173
6.2 Automorphism Groups and *-Derivations......Page 174
7 Epilogue......Page 176
References......Page 177
1 Introduction......Page 179
2 CQ*-Algebras......Page 180
2.1 CQ*-Algebras of Operators on Scales of Hilbert Spaces......Page 181
2.2 Mathematical Properties of CQ*-Algebras......Page 182
3 CQ*-Algebras and Spin Lattice Systems......Page 184
3.1 Thermodynamical Limits......Page 187
4 Conclusions......Page 189
References......Page 190
1 Introduction......Page 191
2 Generalization of Ferber-Shirafuji Superparticle Model: Spinor Fundamental Variables and Central Charges......Page 194
3 D = 10 and D = 11 Models with One Fundamental Spinor......Page 198
4 A Set of D = 11 Massless Superparticle Models with Conservation of More than 1=2 Target Space Supersymmetries......Page 200
4.1 Spinor Moving Frame......Page 201
4.2 Action for D = 11 Massless Superparticle with Tensorial Central Charge Coordinates......Page 202
5 Final Remarks......Page 204
References......Page 205
1 Introduction......Page 207
2 Implementations of Odd Derivations......Page 208
3 Conclusions......Page 214
References......Page 216
1 Introduction......Page 217
2 Fundamental Assumptions......Page 218
3 Hermitian Wick Algebras......Page 219
4 Fock Space Representation......Page 220
References......Page 221
J. Wess......Page 223
References......Page 230
1 Introduction......Page 231
2 Newtonian System and Descendant Di erential Form......Page 233
3 The Second Newton\'s Law as a Pfaffian System and Its Descendant Di fferential Form......Page 235
4 Formalism......Page 236
References......Page 237
2 Dynamics of Particle in Curved 2d Space-Time......Page 239
2.1 The Case R0 < 0......Page 241
3.1 The Case R0 < 0......Page 242
3.2 The Case R0 > 0......Page 243
References......Page 244
1 Introduction......Page 245
2 Dirac\'s Generalized Square Root......Page 246
3 Neutrino Oscillations Involving  vs and v\'s......Page 248
4 Outlook: Non-Abelian Spin-1/2 Fermions......Page 252
References......Page 256
1 Introduction......Page 257
2 Magnetic Monopoles and Sphalerons in Flat Space......Page 258
3 The Spherically Symmetric Gravitational Field......Page 261
4 Gravitating Monopoles - BPS-Type Solutions......Page 263
5 Gravitating Monopoles without SUSY......Page 265
6 Coloured Black Holes......Page 268
References......Page 271
1 Introduction: Lattice and Continuum......Page 273
2 Local Cohomology......Page 274
3 What Is the Massles Continuum Limit of a Critical Classical Spin Model?......Page 275
4 The Noether Current: Some Generalities......Page 277
5 The Noether Current: Bounds and Inequalities......Page 280
6 Consequences......Page 281
References......Page 284
1 Introduction......Page 285
2 HBT Contribution......Page 286
3 The GGLP Contribution......Page 288
4 Density Matrix Approach......Page 289
5 Simple Case: Pure Final State......Page 291
6 Independent Production......Page 292
7 Einstein\'s Condensation......Page 293
8 Statistical Physics Interpretation......Page 295
References......Page 297
W. Zimmermann......Page 298
1 Reduction in Massive Models......Page 299
2 Massless  ß Functions......Page 303
3 Scheme Independence......Page 305
4 Elimination of Mass Parameters......Page 306
References......Page 308
J. Czerwonko......Page 309
L. Halpern......Page 310
References......Page 311