References 1. W. Nolting: Grundkurs theoretische Physik, in German, 5th edn (Springer, Berlin Heidelberg New York 2002), 7 volumes. This is a good example of a series of textbooks which in seven volumes covers sometimes less but sometimes much more than the four parts of our com- pendium. 2. http://www.physik.uni-regensburg.de/forschung/krey To Part I: 3. As a recommendable standard textbook on Classical Mechanics we recommend H. Goldstein, Ch.P. Poole, J. Safko: Classical Mechanics, 3rd edn (Addison- Wesley, San Francisco Munich 2002), pp 1–638 4. H. Hertz: Die Constitution der Materie, in: A. F¨olsing (Ed.), Springer, Berlin Heidelberg New York, 1999, pp 1–171 5. A. Einstein: Zur Elektrodynamik bewegter K¨orper, Ann. der Physik 17, 891 (1905) 6. R. von E¨otv¨ os, D. Pek´ar, E. Fekete: Ann. d. Physik 68, 11 (1922) 7. S.M. Carroll: Spacetime andGeometry. Introduction to General Relativity, (Ad- dison Wesley, San Francisco and elsewhere 2003), pp 1–513 8. L.D. Landau, E.M. Lifshitz: Course of Theoretical Physics, volume 2, The Clas- sical Theory of Fields, 4th edn (Pergamon Press, Oxford New York and else- where, 1975), pp 1–402 (This book contains very readable chapters on relativ- ity.) 9. H.G. Schuster, W. Just: Deterministic Chaos, 4th edn (Wiley-VCH, Weinheim 2005), pp 1–287 To Part II: 10. B.I. Bleaney, B. Bleaney: Electricity and Magnetism, 3rd edn (Oxford Univer- sity Press 1976), pp 1–761 11. J.D. Jackson: Classical Electrodynamics, 3rd edn (Wiley, New York Weinheim Singapore 1999), pp 1–938 12. A. Heck: Introduction to Maple, 3rd edn (Springer, Berlin Heidelberg New York 2003), pp 1–828 13. L.D. Landau, E.M. Lifshitz: Course of Theoretical Physics, volume 1, Mechan- ics, 3rd edn (Pergamon Press, Oxford New York and elsewhere, 1976), pp 1–169, Chapt. 44 . (This chapter is useful for understanding the cross relations to the Fermat principle in geometrical optics.) 14. A. Sommerfeld: Optics, 4th edn (Academic Press, New York 1967), pp 1–383
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References
1. W. Nolting: Grundkurs theoretische Physik, in German, 5th edn (Springer,Berlin Heidelberg New York 2002), 7 volumes.This is a good example of a series of textbooks which in seven volumes coverssometimes less but sometimes much more than the four parts of our com-pendium.
3. As a recommendable standard textbook on Classical Mechanics we recommendH. Goldstein, Ch.P. Poole, J. Safko: Classical Mechanics, 3rd edn (Addison-Wesley, San Francisco Munich 2002), pp 1–638
4. H. Hertz: Die Constitution der Materie, in: A. Folsing (Ed.), Springer, BerlinHeidelberg New York, 1999, pp 1–171
5. A. Einstein: Zur Elektrodynamik bewegter Korper, Ann. der Physik 17, 891(1905)
6. R. von Eotvos, D. Pekar, E. Fekete: Ann. d. Physik 68, 11 (1922)7. S.M. Carroll: Spacetime and Geometry. Introduction to General Relativity, (Ad-
dison Wesley, San Francisco and elsewhere 2003), pp 1–5138. L.D. Landau, E.M. Lifshitz: Course of Theoretical Physics, volume 2, The Clas-
sical Theory of Fields, 4th edn (Pergamon Press, Oxford New York and else-where, 1975), pp 1–402 (This book contains very readable chapters on relativ-ity.)
10. B.I. Bleaney, B. Bleaney: Electricity and Magnetism, 3rd edn (Oxford Univer-sity Press 1976), pp 1–761
11. J.D. Jackson: Classical Electrodynamics, 3rd edn (Wiley, New York WeinheimSingapore 1999), pp 1–938
12. A. Heck: Introduction to Maple, 3rd edn (Springer, Berlin Heidelberg New York2003), pp 1–828
13. L.D. Landau, E.M. Lifshitz: Course of Theoretical Physics, volume 1, Mechan-ics, 3rd edn (Pergamon Press, Oxford New York and elsewhere, 1976), pp 1–169,Chapt. 44 . (This chapter is useful for understanding the cross relations to theFermat principle in geometrical optics.)
14. A. Sommerfeld: Optics, 4th edn (Academic Press, New York 1967), pp 1–383
432 References
15. F. Pedrotti, L. Pedrotti: Introduction to optics, 2nd edn (Prentice Hall, UpperSaddle River (NY, USA) 1993), pp 1–672
16. E. Hecht: Optics, 4th edn (Addison-Wesley, San Francisco New York 2002),pp 1–565
17. K. Bammel: Physik Journal, in German, (1) 42 (2005)
To Part III:
18. A. Einstein: Uber einen die Erzeugung und Verwandlung des Lichtes betref-fenden heuristischen Gesichtspunkt, Ann. der Physik 17, 132 (1905)
19. W. Heisenberg: Z. Physik 33, 879 (1925)20. M. Born, W. Heisenberg, P. Jordan: Z. Pysik 35 557 (1926)21. C.I. Davisson, L.H. Germer: Nature 119, 890 (1927); Phys. Rev. 30, 705 (1927)22. E. Schrodinger: Ann. Physik (4) 79, 361; 489; 734 (1926); 80, 109 (1926)23. J. von Neumann: Mathematische Grundlagen der Quantenmechanik, in Ger-
man, reprinted from the 2nd edn of 1932 (Springer, Berlin Heidelberg NewYork 1996), pp 1–262
24. W. Doring: Quantenmechanik, in German (Vandenhoek & Ruprecht, Gottingen1962), pp 1–517
26. D.D. Osheroff. R.C. Richardson, D.M. Lee, Phys. Rev. Lett. 28, 885 (1972)27. H. Borsch, H. Hamisch, K. Grohmann, D. Wohlleben: Z. Physik 165, 79 (1961)28. M. Berry: Phys. Today 43 34 (12) (1990)29. A. Einstein, B. Podolski, N. Rosen: Phys. Rev. 47, 777 (1935)30. J.S. Bell: Physics 1, 195 (1964)31. P. Kwiat, H. Weinfurter, A. Zeilinger: Spektrum der Wissenschaft 42, (1) (1997)32. A. Zeilinger: Einsteins Schleier – die neue Welt der Quantenphysik, in German
(C.H. Beck, Munchen 2003), pp 1–23733. D. Loss, D.P. DiVincenzo: Phys. Rev. A 57, 120 (1998)34. F.H.L. Koppens, J.A. Folk, J.M. Elzerman, R. Hanson, L.H.W. van Beveren,
35. A. Einstein: Uber die von der molekularkinetischen Theorie der Warmegeforderte Bewegung von in ruhenden Flussigkeiten suspendierten Teilchen,Ann. der Physik 17, 549 (1905)
36. P. Papon, J. Leblond, P.H.E. Meijer: The Physics of Phase Transitions(Springer, Berlin Heidelberg New York 2002), pp 1–397
37. C. Kittel: Introduction to Solid State Physics, 8th edn (Wiley, New York LondonSidney Toronto 2005), pp 1–680
38. W. Gebhardt, U. Krey: Phasenubergange und kritische Phanomene, in German(Vieweg, Braunschweig Wiesbaden 1980), pp 1–246
39. W. Doring: Einfuhrung in die theoretische Physik, Sammlung Goschen, in Ger-man, 5 volumes, 3rd edn (de Gruyter, Berlin 1965), pp 1–125, 1–138, 1–117,1–107, 1–114
40. A. Sommerfeld, H.A. Bethe: Elektronentheorie der Metalle (Springer, BerlinHeidelberg New York 1967)
References 433
41. H. Thomas: Phase transitions and critical phenomena. In: Theory of condensedmatter, directors F. Bassani, G. Cagliotto, J. Ziman (International AtomicEnergy Agency, Vienna 1968), pp 357–393. At some libraries this book, whichhas no editors, is found under the name E. Antoncik.
42. R. Sexl, H. Sexl: White dwarfs – black holes, 2nd edn (Springer, Berlin Heidel-berg New York 1999), pp 1–540
43. R. Sexl, H.K. Urbantke: Gravitation und Kosmologie, in German, 3rd edn (Bib-liograpisches Institut, Mannheim 1987), pp 1–399
45. D. Vollhardt, P. Wolfle, The superfluid phases of helium 3, (Taylor & Francis,London New York Philadephia 1990), pp 1–690
46. V.L. Ginzburg, L.D. Landau: J. Exp. Theor. Physics (U.S.S.R.) 20, 1064 (1950)47. A. Abrikosov: Sov. Phys. JETP 5, 1174 (1957)48. L.D. Landau, E.M. Lifshitz: Course of Theoretical Physics, volumes 5 and 9 (=
Statistical Physics, Part 1 and Part 2), 3rd edn, revised and enlarged by E.M.Lifshitz and L.P. Pitaevskii (Pergamon Press, Oxford New York and elsewhere,1980), pp 1–544 and 1–387
49. J. de Cloizeaux: Linear response, generalized susceptibility and dispersion the-ory. In: Theory of condensed matter, directors F. Bassani, G. Cagliotto, J.Ziman (International Atomic Energy Agency, Vienna 1968), pp 325–354. Atsome libraries this book, which has no editors, is found under the name E.Antoncik.
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Index
Abbe resolution 198
Abrikosov (vortex lattice) 398
Abrikosov, Ginzburg, Legget 395
abstract quantum mechanics (algebraicmethods) 241
accelerated reference frames 95
acceleration (definition) 11
acceleration in planar polar coordinates31
acceptance (Metropolis algorithm)412
accuracy for optical mappings 197
action
and reaction . . . : weak and strongforms 8, 9
functional 47
principle 55
and reaction . . . 8, 38, 119
activated state (thermodynamics,kBT � Ei) 341
active charge 119
active gravitational mass 8
actual (versus virtual) orbits 47, 48
addition rules for angular momenta255, 270
additivity of partial entropies 415
additivity of the entropy 365, 413, 414
adiabatic
expansion 324
demagnetization 372
demagnetization (low temperatures)371
adiabatics versus isotherms 325
admixture of excited states (“polariza-tion”) 262
aether (pre-Einstein) 58
Aharonov-Bohm effect 281, 287, 295
algebraic methods (in quantummechanics) 241
Alice (quantum cryptography) 289,297
alkali atoms 256alternating parity 226Ampere’s
law 145current loops (always equivalent to
magnetic dipoles) 149law 145, 156law including Maxwell’s displacement
current 153amplitude resonance curve 20angular momentum
operators (orbital part) 235elementary treatment 24of a rigid body 73, 77orbital part, spin part 236quantization 351quantum number l 237
fluctuations 332(versus caloric) equation of state
317coherence length ξ(T ) 405equilibrium 306
thermodynamic temperature T (Kelvin)301
thermostat 337
Third Law of Thermodynamics 316,371, 372, 429
Thomson: impossibility of an ideal heatmachine 355
throttle valve (Joule-Thomson) 321time dilatation 59time-ordering operator (Dyson) 247torque on electric dipoles 25torque-free top 78total Pfaffian form 29trace formalism 377trade winds (Passat) 98transfer matrix method 228transformation between mksa and cgs
units 111transformer 158, 159transient time 169transition to chaos 80translational and rotational parts of
the kinetic energy 71translational part of the kinetic energy
337, 339transversality (of electromagnetic
waves) 167traps (ultralow temperatures) 371traveling wave 167triangulation 116triple point 305, 419triplet pairing (in He3) 278triplet wave functions (two spins) 271,
272, 276true charges (as opposed to effective
ones) 137true force (as opposed to inertial forces)
95tunneling
states (two levels) 402through a barrier 229transmittivity 229
two-level systems in quantumcomputing 283
two-particle problems 29two-spinors 249type II superconductors (vortex lattice)
398
ultralow temperatures 371, 374ultrarelativistic behavior and photon
gases 338
452 Index
ultraviolet (spectral range) 179unattainability of T = 0 in a finite
number of steps 372, 373undulator 173uniaxial crystals (normal birefringence)
190uniqueness of the solution for
a capacitor problem 129unitarity relation 226, 227unitary
equivalence 245operators 245, 283vector space (pre-Hilbert space)
212operators 53
units in electromagnetism 109units of length and time 6universal gas constant (R0 = Lo · kB)
303universality classes 408
vacuum light velocity 169vacuum permeability 111, 250van der Waals equation of state 304,
317, 322, 330, 425van der Waals theory 327, 369vapor pressure outside a droplet 423variational
derivative 48parameter 47principle of “least action”principle of “maximal proper time”