References
- Abbott , L and Wise , M . 1981 . American Journal of Physics , 49 : 37 – 39 .
- Ben Adda , F and Cresson , J . 2004 . Chaos, Solitons, and Fractals , 19 : 1323 – 1334 .
- Agop , M , Ioannou , P , Buzea , C and Nica , P . 2003 . Chaos, Solitons, and Fractals , 16 : 321 – 338 .
- Agop , M , Ioannou , P and Buzea , C . 2002 . Chaos, Solitons, and Fractals , 13 : 1137 – 1165 .
- Arimitsu T math-ph 0206015; quant-ph 0206062
- Arimitsu T Arimitsu N cond-mat 0210027 and 0306042
- Ben-Avraham A Havlin S 2000 Diffusion and Reactions in Fractal and Disordered Systems, Cambridge University Press
- Babakhani , A and Dattardar-Gejji , V . 2002 . Journal of Mathematics and Analytical Applications , 270 : 66 – 79 .
- Bacciagaluppi G quant-ph 9711048
- Bacciagaluppi G quant-ph 9811040 and 0302099
- Bahns D Doplicher S Fredenhagen K Piacitelli G hep-th 0301100
- Barabash D Shtanov Y hep-th 9807291
- Barbosa G Pinto-Neto N hep-th 0304105
- Bell , J . 1986 . Physics Reports , 137 : 49 – 54 .
- Bell J 1987 Speakable and Unspeakable in Quantum Mechanics, Cambridge University Press
- Bertoldi G Faraggi A Matone M hep-th 9909201
- Bialynicki-Birula , I and Mycielski , J . 1976 . Annals of Physics , 100 : 62
- Bohm , D , Hiley , B and Kaloyerou , P . 1987 . Physics Reports , 144 : 323 – 375 .
- Bohm D Hiley B 1993 The Undivided Universe Routledge Chapman and Hall
- Bell , J . 1986 . Physics Reports , 137 : 49 – 54 .
- Bell J 1987 Speakable and Unspeakable in Quantum Mechanics, Cambridge University Press
- Bouda A Djama T quant-ph 0103071 and 0206149
- Boyarsky A Gora P 2001 Chaos, Solitons, and Fractals 9 1611 1618 1996, 7, 611–630, 939–954
- deBroglie L Electrons et photons pp. 105–141 Solvay Conference Paris
- Brown H Sjöqvist E Bacciagaluppi G quant-ph 9811054
- Bunde A Havlin S 1991 Fractals and Disordered Systems, Springer
- Burdyuzha V de Freitas-Pacheco J Vereshkov G gr-qc 0312072
- Capri A Roy S 1992 Modular Physics Letters A 7 2317 1994, International Journal of Modular Physics A, 9, 1239
- Carroll R 2000 Quantum Theory, Deformation and Integrability, North-Holland
- Carroll R 2003 Proceedings and Conference Symmetry Kiev (to appear)
- Carroll , R . 1999 . Canadian Journal of Physics , 77 : 319 – 325 .
- Carroll R 2000 Direct and Inverse Problems of Mathematical Physics pp. 39–52 (Kluwer)
- Carroll R 1998 Generalized Analytic Functions pp. 299–311 (Kluwer)
- Carroll R quant-ph 0309223 and 0309159
- Carroll R quant-ph 0401082
- Carroll R Aspects of the Schrödinger Equation (book in preparation)
- Carroll R 1997 Nucl. Phys. B 502 561 593 1998, Springer Lecture Notes Physics, 502, pp. 33–56
- Carroll R 1996 Proc. First World Congress Nonlinear Analysts ‘92 pp. 241–252 (deGruyter)
- Carroll , R and Kodama , Y . 1995 . Jour. Phys. A , 28 : 6373 – 6387 .
- Carroll , R and Konopelchenko , B . 1996 . International Journal of Modular Physics A , 11 : 1183 – 1216 .
- Carroll R 2002 Calculus Revisited, Kluwer
- Castro C Mahecha J Rodriguez B quant-ph 0202026
- Castro C 2000 Chaos, Solitons, and Fractals 11 1663 1670 (2001), 12, 101–104 and 1585–1606; hep-th 0203086
- Célérier M Nottale L hep-th 0112213 and 0210027
- Colin S quant-ph 0301119 and 0310056; 2003 Physics Letters A 317 349 358
- Compte , A . 1996 . Physics Review E , 53 : 4191 – 4193 .
- Cresson J math.GM 0211071
- Cresson J 2003 Scale calculus and the Schrödinger equation; Scale geometry, I, Nondifferentiable variational principles (preprints)
- Czachor M Doebner H quant-ph 0106051 and 0110008
- Czopnik R Garbaczewski P quant-ph 0203018; cond-mat 0202463
- Darling R math.PR 0210109
- Davidson M quant-ph 0110050, 0112157 and 0106124
- Delphenich D gr-qc 0211065
- Deotto , E and Ghirardi , C . Foundations of Physics , 28 1–30 and quant-ph 9704021
- Deutsch S physics 9803039
- Djama T quant-ph 0111121 and 0201003
- Djama T quant-ph 0311057 and 0311059
- Doebner H Goldin G Natterman P quant-ph 9502014 and 9709036
- Doebner , H and Goldin , G . 1996 . Physics Review A , 54 : 3764 – 3771 .
- Dohrn , D and Guerra , F . 1985 . Physics Review E , 31 : 2521 – 2594 .
- Doplicher S hep-th 0105251
- Doplicher S Fredenhagen K Roberts J hep-th 0303037
- Dürr D Goldstein S Zanghi N quant-ph 9511016, 0308039 and 0308038
- Dürr D Goldstein S Tumulka R Zanghi N quant-ph 0208072; 0303156; 0303056; 0311127
- Dürr , D , Goldstein , S and Zanghi , S . 1992 . Journal of Statistical Physics , 67 : 843 – 907 .
- Faraggi , A and Matone , M . 1997 . Physics Review Letters , 78 : 163 – 166 .
- Faraggi , A and Matone , M . 2000 . International Journal of Modular Physics A , 15 : 1869 – 2017 .
- Floyd E 1999 International Journal of Modular Physics A 14 1111 1124 2000, 15, 1363–1378; 2000, Foundations of Physics Letters, 13, 235–251; quant-ph 0009070, 0302128 and 0307090
- Floyd E 1984 Physics Review D 29 1842 1844 1982, 26, 1339–1347; 1986, 34, 3246–3249; 1982, 25, 1547–1551; 1979, Journal of Mathematics and Physics, 20, 83–85; 1976, 17, 880–884; 1996, Phys. Lett. A, 214, 259–265; 1998, International Journal of Theoretical Physics, 27, 273–281
- Floyd E quant-ph 0206114
- Frieden B 1998 Physics from Fisher Information, Cambridge University Press
- Frieden B Plastino A Plastino AR Soffer B cond-mat 0206107
- Fülöp T Katz S quant-ph 9806067
- Garbaczewski P cond-mat 0211362 and 0301044
- Georgii H Tumulka R math.PR 0312294
- Giona , M and Roman , H . 1992 . Journal of Physics A , 25 : 2093 – 2105 .
- Goldin G Shtelen V quant-ph 0006067
- Gottlieb , I , Ciobanu , G and Buzea , C . Chaos, Solitons, and Fractals , 17
- Gottlieb , I , Agop , M and Jarcau , M . 2004 . Chaos, Solitons, and Fractals , 19 : 705 – 730 .
- Grössing G quant-ph 0311109
- Guk , I . 1998 . Technical Physics , 43 : 353 – 357 .
- Hall M quant-ph 9806013, 9903045, 9912055, 0103072, 0107149, 0302007
- Hall M Reginatto M quant-ph 0102069 and 0201084
- Hall M Kumar K Reginatto M hep-th 0206235 and 0307259
- Hallin , J and Lidjenbeg , P . 1995 . Physics Review D , 52 : 1150
- Hatfield B 1992 Quantum Field Theory of Point Particles and Strings, Addison-Wesley
- Halvorson H Clifton R quant-ph 0103041
- Hilfer , R and Anton , L . 1995 . Physics Review E , 51 : R848 – R851 .
- Hofer W quant-ph 9610009, 9797024, 9801044 and 9910036
- Hofer W quant-ph 0001012, 0003061 and 0101091
- Holland P 1997 The Quantum Theory of Motion, Cambridge University Press
- Holland P 1998 Foundations of Physics 38 881 911 2001, Nuovo Cimento B, 116, 1043 and 1143; 1988, Phys. Lett. A, 128, 9; quant-ph 0305175
- Isaev P physics 0111072
- Jegerlehner F hep-th 9803021
- Jizba P Arimitsu T cond-mat 0207707 and 0312034
- John M quant-ph 0102087 and 0109093
- Kälbermann G quant-ph 0307018
- Kaloyerou P quant-ph 0311035
- Kaniadakis G Scarfone A 2003 Rep. Math. Phys 51 225 (cond-mat 0303334), 2002,Jour. Phys. A, 35, 1943 (quant-ph 0202032)
- Kaniadakis G 2002 Physica A 307 172 (quant-ph 0112049) 2003, Physics Letters A, 310, 377 (quant-ph 0303159); 2003, Foundations of Physics Letters, 16, 99 (quant-ph 0209033)
- Kigami J 2001 Analysis on Fractals, Cambridge University Press
- Kobelev L hep-th 0002005; physics 0003036 and 0011038; math.CA 0002008
- Kobryn A Hayashi T Arimitsu T math-ph 0304023
- Kolwanker K Gangal A physics 9801010 1998 Physics Review Letters 12 214 217 1996, Chaos, 6, 505–513
- Kozlowski M Marciak–Kozlowska J astro-ph 0307168; cond-mat 0304052 and 0306699
- Marcial–Kozlowska J Kozlowski M astro-ph 0303256; quant-ph 0402069; cond-mat 0402159
- Kozlowski M Marcial–Kozlowska J 2001 From Quarks to Bulk Matter, Hadronic Press
- Kröger , H . 1997 . Physics Review A , 55 : 951 – 966 .
- Lamb D Capri A Roy S hep-th 9411225
- Lemos , N . 1980 . Physics Letters A , 78 : 237, 239
- Li M Yoneya T hep-th 9806240
- Libof R 2003 Kinetic Theory, Springer
- Maroney O quant-ph 0311149
- Matone M hep-th 0005274 and 0212260
- Messiah A 1999 Quantum Mechanics, Dover
- Mostafazadeh A Zamani F quant-ph 0312078
- Mostafazadeh A gr-qc 0306003
- Motavali H Salehi H Golshani M hep-th 0011062
- Motavali H Golshani M hep-th 0011064
- Nagasawa M 1993 Schrödinger Equations and Diffusion Theory, Birkäuser
- Nagasawa M 2000 Stochastic Processes in Quantum Physics, Birkhäuser
- El Naschie M 1993 Chaos, Solitons, and Fractals 3 89 98 1996, 7, 499–518; 1997, 11, 1873–1886; 1995, 5, 661–684, 1503–1508; 1995, 6, 1031–1032
- El Naschie , M . 2004 . Chaos, Solitons, and Fractals , 19 : 209–236, 689–697
- Natterman P Scherer W quant-ph 9506033
- Natterman P Zhdanov R solv-int 9510001
- Natterman P quant-ph 9703017 and 9709044
- Nelson E 1985 Quantum Fluctuations, Princeton University Press 1967, Dynamical Theory of Brownian Motion (Princeton University Press)
- Nikolić H hep-th 0205022
- Nikolić H quant-ph 0307179
- Nikolić H 2004 Foundations of Physics Letters 17 363 380 (quant-ph 0208185); quant-ph 0302152
- Nikolić H 2003 International Journal of Modular Physics D12 407 444 (hep-th 0202204) 2002, Physics Letters B, 527; 2002, 119, 529, 265
- Nikolić H hep-th 0103053, 0103251 and 0105176
- Nikolić H gr-qc 9901045 and 0312063
- Nikolić H hep-th 0210307
- Nitta , H , Kudo , T and Minowa , H . 1999 . Amer. Jour. Phys , 67 : 966 – 971 .
- Nottale L Célérier M Lehner T hep-th 0307093
- Nottale L 1993 Fractal Space-time and Microphysics: Toward a Theory of Scale Relativity, World Scientific
- Nottale L 2000 La relativité dans tous ses états, Hachette
- Nottale , L . 1999 . Chaos, Solitons, and Fractals , 10 : 459 – 468 .
- Nottale , L . 2003 . Chaos, Solitons, and Fractals , 16 : 539 – 564 .
- Nottale , L . 1996 . Chaos, Solitons, and Fractals , 7 : 877 – 938 .
- Nottale , L and Schneider , J . 1984 . Journal of Mathematics and Physics , 25 : 1296 – 1300 .
- Ohanian H Ruffini R 1994 Gravity and Spacetime, Norton
- Olavo L quant-ph 9503020, 9503021, 9503022, 9503024, 9503025, 9509012, 9509013, 9511028, 9511039, 9601002, 9607002, 9607003, 9609003,9609023, 9703006, 9704004
- Ord G 1997 Chaos, Solitons, and Fractals 8 727 741 1998, 9, 1011–1029; 1983, Jour. Phys. A, 16, 1869–1884
- Ord G 2000 Chaos, Solitons, and Fractals 11 383 391 2003, 17, 609–620
- Ord , G and Gualtieri , J . 2002 . Chaos, Solitons, and Fractals , 14 : 929 – 935 .
- Pardy M quant-ph 0111105
- Parvate A Gangal A math-ph 0310047
- Pavon M 1995 Journal of Mathematics and Physics 36 6774 6800 quant-ph 0306052
- Pissondes J 1998 Chaos, Solitons, and Fractals 9 1115 1142 1999, Journal of Physics A, 32, 2871
- Puszkarz W quant-ph 9912006
- Puszkarz W quant-ph 9802001, 9903010, 9905046, 9710007, 0710008, 9710009, 9710010 and 9710011
- Reginatto M 1998 quant-ph 9909065 Physics Review A 58 1775
- Reif F 1965 Fundamentals of Statistical and Thermal Physics, McGraw-Hill
- Roman , H and Giona , M . 1992 . Journal of Physics A , 25 : 2107 – 2117 .
- Roy S Singh V quant-ph 9811041
- Roy S quant-ph 9811047
- Sabot C math-ph 0201041
- Salehi H Sepangi H hep-th 9810207
- Salehi H Motavali H Golshani M hep-th 0011063
- Salehi H Sepangi H Darabi F gr-qc 0002058
- Salehi H Bisabr Y hep-th 0301208
- Schmelzer I gr-qc 9811073, 0001101 and 0205035
- Serva , M . 1988 . Annuals of Institute H. Poincaré, Physics Theory , 49 : 415 – 432 .
- Sewell G 2002 Quantum Mechanics and its Emergent Macrophysics, Princeton University Press
- Shtanov Y quant-ph 9705024; gr-qc 9503005
- Stone M 2000 The Physics of Quantum Fields, Springer
- Strocchi F hep-th 0401143
- Su C physics 0208082, 0208083, 0208084, 0208085 and 0211019
- Sudbery , A . 1987 . Journal of Physics A , 20 : 1743 – 1750 .
- Svozil K quant-ph 000033 and 0110054; physics 0210091 and 0305048
- Tumulka R math.PR 0312326
- Valentini A quant-ph 0104067, 0106098 and 0309107
- Vink , J . 1993 . Physics Review A , 48 : 1808 – 1818 .
- Volovik G 2003 The Universe in a Helium Droplet, Oxford University Press
- Volovik G gr-qc 9809081, 0101111, 0104046, 0212003, 0301043 and 0306011
- Wallace D quant-ph 0112148 and 0112149
- Ward R hep-th 0207100
- Werbos P Werbos L quant-ph 0309087
- Yoneya T hep-th 0004074
- Zambrini J 1987 Physics Review A 38 3631 3649 1986, 33, 1532–1548; 1986, Journal of Mathematics and Physics, 27, 2307–2330
- Zastawnicak , T . 1990 . Europhysics Letters , 13 : 13 – 17 .
- Zeh , H . 2003 . Physics Letters A , 309 : 329 – 334 .