Нелинейные аспекты квантовой физики плазмы

Климонтович Ю Л, Силин В П ДАН СССР 82 361 (1952); Климонтович Ю Л, Силин В П ЖЭТФ 23 151 (1952) Bohm D Phys. Rev. 85 166 (1952) Bohm D, Pines D Phys. Rev. 92 609 (1953) Pines D J. Nucl. Energy 2 5 (1961) Bohm D, Pines D in Plasma Physics (Ed. J E Drummond) (New York: McGraw-Hill, 1961), Ch. 2, p. 35 Bonitz M et al. J. Phys. A Math. Gen. 36 5921 (2003) Manfredi G Fields Inst. Commun. 46 263 (2005) Bransden B H, Joachain C J Quantum Mechanics 2nd ed. (Harlow: Prentice Hall, 2000) Fortov V E, Iakubov I T The Physics of Non-Ideal Plasma (Singapore: World Scientific, 2000) Lee T D Astrophys. J. 111 625 (1950) Hubbard W B Astrophys. J. 146 858 (1966) Lampe M Phys. Rev. 170 306 (1968) Azechi H et al. Laser Part. Beams 9 193 (1991) Azechi H et al. (the FIREX Project) Plasma Phys. Control. Fusion 48 B267 (2006) Son S, Fisch N J Phys. Rev. Lett. 95 225002 (2005) Wigner E Phys. Rev. 40 749 (1932) Moyal J E Proc. Camb. Philos. Soc. 45 99 (1949) Anderson D et al. Phys. Rev. E 65 046417 (2002) Tsintsadze N L, Tsintsadze L N, arXiv:0903.5368 Gardner C L, Ringhofer C Phys. Rev. E 53 157 (1996) Manfredi G, Haas F Phys. Rev. B 64 075316 (2001) Shukla P K, Eliasson B Phys. Rev. Lett. 96 245001 (2006) Shukla P K Phys. Lett. A 352 242 (2006) Shukla P K, Eliasson B New J. Phys. 9 98 (2007) Maafa N Phys. Scripta 48 351 (1993) Melrose D B Quantum Plasmadynamics: Unmagnetized Plasmas (New York: Springer, 2008) Лифшиц Е М, Питаевский Л П Физическая кинетика (М.: Наука, 1979); Lifshitz E M, Pitaevskii L P Physical Kinetics (Oxford: Butterworth-Heinemann, 1981) Nozieres P, Pines D The Theory of Quantum Liquids (Cambridge: Perseus Books, 1999) p. 279 Kremp D et al. Phys. Rev. E 60 4725 (1999) Bonitz M Quantum Kinetic Theory (Stuttgart: B-G-Teubner, 1998) Kremp D, Schlanges M, Kraeft W-D Quantum Statistics of Nonideal Plasmas (Berlin: Springer, 2005) Uhlenbeck G E, Goudsmit S Naturwissenschaften 47 953 (1925); Uhlenbeck G E, Goudsmit S Nature 117 264 (1926) Bohm D Quantum Theory (New York: Prentice-Hall, 1951) Sasabe S, Tsuchiya K Phys. Lett. A 372 381 (2008) Ландау Л Д, Лифшиц Е М Квантовая механика: Нерелятивистская теория (М.: Наука, 1974); Landau L D, Lifshitz E M Quantum Mechanics: Non-Relativistic Theory 3rd ed. (Oxford: Pergamon Press, 1977) Steinberg M Thermodynamics and Kinetics of a Magnetized Quantum Plasma (Berlin: Logos, 2000) John P Contrib. Plasma Phys. 33 488 (2006) Shukla P K, Stenflo L J. Plasma Phys. 72 605 (2006) Shukla P K et al. Phys. Plasmas 13 112111 (2006) Shukla P K Phys. Lett. A 369 312 (2007) Lundin J et al. Phys. Plasmas 14 062112 (2007) Misra A P Phys. Plasmas 14 064501 (2007) Khan S A, Saleem H Phys. Plasmas 16 052109 (2009) Madelung E Z. Phys. 40 322 (1927) Takabayasi T Prog. Theor. Phys. 8 143 (1952) Takabayasi T Prog. Theor. Phys. 14 283 (1955) Takabayasi T Prog. Theor. Phys. 70 1 (1983) Bohm D, Schiller R, Tiomno J Suppl. Nuovo Cimento 1 48 (1955) Bohm D, Schiller R Suppl. Nuovo Cimento 1 67 (1955) Janossy L, Ziegler-Naray M Acta Phys. Hung. 20 23 (1965) Ghosh S K, Deb B M Phys. Rep. 92 1 (1982) Takabayasi T Prog. Theor. Phys. 9 187 (1953) Takabayasi T Prog. Theor. Phys. 13 222 (1955) Takabayasi T Nuovo Cimento 3 233 (1956) Takabayasi T Prog. Theor. Phys. Suppl. (4) 2 (1957) Bialynicki-Birula I Acta Phys. Polonica B 26 1201 (1995) Gardner C L SIAM J. Appl. Math. 54 409 (1994) Loffredo M I, Morato L M Nuovo Cimento B 108 205 (1993) Feynman R P Statistical Mechanics; A Set of Lectures (Reading, Mass.: W.A. Benjamin, 1972); Фейнман Р Статистическая механика (М.: Мир, 1978) Domps A, Reinhard P-G, Suraud E Phys. Rev. Lett. 80 5520 (1998) Haas F, Garcia L G, Goedert J, Manfredi G Phys. Plasmas 10 3858 (2003) Eliasson B, Shukla P K J. Plasma Phys. 74 581 (2008) Haas F Phys. Plasmas 12 062117 (2005) Shukla P K, Stenflo L Phys. Plasmas 13 044505 (2006) Shukla P K, Eliasson B Phys. Rev. Lett. 99 096401 (2007) Shaikh D, Shukla P K Phys. Rev. Lett. 99 125002 (2007) Shaikh D, Shukla P K New J. Phys. 10 083007 (2008) Bershadskii A Phys. Lett. A 372 2741 (2008) Eliasson B, Shukla P K Phys. Scr. 78 025503 (2008) Oraevsky V N, Semikoz V B ЯФ 66 494 (2003); Oraevsky V N, Semikoz V B Phys. At. Nucl. 66 466 (2003); Oraevsky V N, Semikoz V B, Volokitin A S hep-ph/0203020 Marklund M, Brodin G Phys. Rev. Lett. 98 025001 (2007) Brodin G, Marklund M Phys. Rev. E 76 055403(R) (2007) Shukla P K, Stenflo L J. Plasma Phys. 74 719 (2008) Shukla P K Nature Phys. 5 92 (2009) Oraevsky V N, Semikoz V B Astropart. Phys. 18 261 (2002) Hu S X, Keitel C H Phys. Rev. Lett. 83 4709 (1999) Андреев А В Письма в ЖЭТФ 72 350 (2000); Andreev A V JETP Lett. 72 238 (2000) Mourou G A, Tajima T, Bulanov S V Rev. Mod. Phys. 78 309 (2006) Marklund M, Shukla P K Rev. Mod. Phys. 78 591 (2006) Salamin Y A et al. Phys. Rep. 427 41 (2006) Malkin V M, Fisch N J, Wertele J S Phys. Rev. E 75 026404 (2007) Kritcher A L et al. Science 322 69 (2008) Hartemann F V, Siders C W, Barty C P J Phys. Rev. Lett. 100 125001 (2008) Lee H J et al. Phys. Rev. Lett. 102 115001 (2009) Norreys P A et al. Phys. Plasmas 16 041002 (2009) Drake R P Phys. Plasmas 16 055501 (2009) van Horn H M Science 252 384 (1991) Guillot T Science 286 72 (1999) Fortney J J et al. Phys. Plasmas 16 041003 (2009) Meszaros P High Energy Radiation from Magnetized Neutron Stars (Chicago: Univ. of Chicago Press, 1992) Beskin V S, Gurevich A V, Istomin Ya N Physics of the Pulsar Magnetosphere (Cambridge: Cambridge Univ. Press, 1993) Craighead H G Science 290 1532 (2000) Opher M et al. Phys. Plasmas 8 2454 (2001) Shapiro S L, Teukolsky S A Black Holes, White Dwarfs, and Neutron Stars: The Physics of Compact Objects (Weinheim: Wiley-VCH, 2004) Benvenuto O G, De Vito M A Mon. Not. R. Astron. Soc. 362 891 (2005) Chabrier G, Douchin F, Potekhin A Y J. Phys. Condens. Matter 14 9133 (2002) Chabrier G, Sauma D, Potekhin A Y J. Phys. A Math. Gen. 39 4411 (2006) Lai D Rev. Mod. Phys. 73 629 (2001); Harding A K, Lai D Rep. Prog. Phys. 69 2631 (2006) Lau Y Y et al. Phys. Rev. Lett. 66 1446 (1991) Ang L K, Kwan T J T, Lau Y Y Phys. Rev. Lett. 91 208303 (2003) Ang L K, Lau Y Y, Kwan T J T IEEE Trans. Plasma Sci. 32 410 (2004) Ang L K et al. Phys. Plasmas 13 056701 (2006) Ang L K, Zhang P Phys. Rev. Lett. 98 164802 (2007) Shukla P K, Eliasson B Phys. Rev. Lett. 100 036801 (2008) Шпатаковская Г В ЖЭТФ 129 533 (2006); Shpatakovskaya G V JETP 102 466 (2006) Barnes W L, Dereux A, Ebbesen T W Nature 424 824 (2003) Chang D E et al. Phys. Rev. Lett. 97 053002 (2006) Marklund M et al. Europhys. Lett. 84 17006 (2008) Markovich P A et al. Semiconductor Equation (Wien: Springer, 1990) Abrahams E, Kravchenko S V, Sarachik M P Rev. Mod. Phys. 73 251 (2001) Magnus W C J, Schoenmaker W J Quantum Transport in Submicron Devices (Berlin: Springer, 2002) Crouseilles N, Hervieux P-A, Manfredi G Phys. Rev. B 78 155412 (2008) Becker K H, Schoenbach K H, Eden J G J. Phys. D 39 R55 (2006) Serbeto A et al. Phys. Plasmas 15 013110 (2008) Piovella N et al. Phys. Rev. Lett. 100 044801 (2008) Lindl J Phys. Plasmas 2 3933 (1995) Tabak M et al. Phys. Plasmas 1 1626 (1994); Tabak M et al. Phys. Plasmas 12 057305 (2005) Glenzer S H et al. Phys. Rev. Lett. 98 065002 (2007) Benney D J, Newell A C J. Math. Phys. (MIT) 46 81 (1967) Benjamin T B Proc. R. Soc. London A 299 59 (1967) Scott A C et al. Proc. IEEE 66 1444 (1973) Hasegawa A, Tappert F Appl. Phys. Lett. 171 (1973) Agrawal G P Nonlinear Fiber Optics (Amsterdam: Elsevier/Academic Press, 2007) Wan W, Jia S, Fleischer J W Nature Phys. 3 46 (2007) Карпман В И, Крушкаль Е М ЖЭТФ 55 530 (1968); Karpman V I, Krushkal E M Sov. Phys. JETP 28 277 (1969) Karpman V I Plasma Phys. 13 477 (1971) Захаров В Е ЖЭТФ 62 1745 (1972); Zakharov V E Sov. Phys. JETP 35 908 (1972) Карпман В И Нелинейные волны в диспергирующих средах (М.: Наука, 1973); Karpman V I Nonlinear Waves in Dispersive Media (New York: Pergamon, 1975) Schamel H, Shukla P K Phys. Rev. Lett. 36 968 (1976) Shukla P K Nature 274 874 (1978) Sulem C, Sulem P-L The Nonlinear Schrodinger Equation: Self-Focusing and Wave Collapse (New York: Springer, 1999) Fedele R Phys. Scripta 65 502 (2002) Dauxois T, Peyrard M Physics of Solitons (Cambridge: Cambridge Univ. Press, 2006) Barenghi C F, Donnelly R J, Vinen W F (Eds) Quantized Vortex Dynamics and Superfluid Turbulence (Berlin: Springer, 2001) Bewley G P, Lathrop D P, Sreenivasan K R Nature 441 588 (2006) Bose S N Z. Phys. 26 178 (1924) Einstein A Sitzungsber. K. Preu? Akad. Wiss. Phys. Math. K1. 261 (1924) Gross E P Nuovo Cimento 20 454 (1961) Питаевский Л П ЖЭТФ 40 646 (1961); Pitaevskii L P Sov. Phys. JETP 13 451 (1961) Pitaevskii L, Stringari S Bose — Einstein Condensation (Oxford: Clarendon Press, 2003) Dalfovo F et al. Rev. Mod. Phys. 71 463 (1999) O Dell D H J, Giovanazzi S, Eberlein C Phys. Rev. Lett. 92 250401 (2004) Pauli W Z. Phys. 32 111 (1925); Pauli W Rev. Mod. Phys. 13 203 (1941) Берестецкий В Б, Лифшиц Е М Питаевский Л П Квантовая электродинамика (М.: Наука, 1980); Berestetskii V B, Lifshitz E M, Pitaevskii L P Quantum Electrodynamics (Oxford: Butterworth-Heinemann, 1999) p. 123 Brodin G, Marklund M New J. Phys. 9 277 (2007) Dvornikov M arXiv:0902.4596 Kolomeisky E B et al. Phys. Rev. Lett. 85 1146 (2000) Ивонин И А ЖЭТФ 112 2252 (1997); Ivonin I A JETP 85 1233 (1997) Ivonin I A, Pavlenko V P, Persson H Phys. Rev. E 60 492 (1999) Whitham G B Linear and Nonlinear Waves (New York: John Wiley Sons, 1999) Сагдеев Р З Вопросы теории плазмы Т. 4 (Под ред. М А Леонтовича) (М.: Атомиздат, 1964) с. 20; Sagdeev R Z in Reviews of Plasma Physics Vol. 4 (Ed. M A Leontovich) (New York: Consultants Bureau, 1966) p. 23 Sagdeev R Z Rev. Mod. Phys. 51 11 (1979) Shukla P K, Yu M Y J. Math. Phys. 19 2506 (1978); Yu M Y, Shukla P K, Bujarbarua S Phys. Fluids 23 2146 (1980) Gottlieb D, Orszag S A Numerical Analysis of Spectral Methods: Theory and Applications (Philadelphia: SIAM, 1977) Колмогоров АН ДАН СССР 30 301 (1941); Kolmogorov A N C.R. (Dokl.) Acad. Sci. USSR 30 301 (1941); Колмогоров АН ДАН СССР 31 4 8 (1941); Kolmogorov A N C.R. (Dokl.) Acad. Sci. USSR 31 438 (1941) Lesieur M Turbulence in Fluids: Stochastic and Numerical Modelling 2nd ed. (Dordrecht: Kluwer Acad. Publ., 1990) Frisch U Turbulence: the Legacy of A.N. Kolmogorov (Cambridge: Cambridge Univ. Press, 1995) Eyink G L, Sreenivasan K R Rev. Mod. Phys. 78 87 (2006) Ирошников П С Астрон. журн. 40 742 (1963); Iroshnikov P S Sov. Astron. 7 566 (1964) Kraichnan R H Phys. Fluids 8 1385 (1965) Larichev V D, McWilliams J C Phys. Fluids A 3 938 (1991) Scott R K Phys. Rev. E 75 046301 (2007) Paoletti M S et al. Phys. Rev. Lett. 101 154501 (2008) Eliasson B, Shukla P K Phys. Rep. 422 225 (2006) Haas F, Eliasson B, Shukla P K, Manfredi G Phys. Rev. E 78 056407 (2008) Kruer W L, Dawson J M, Sudan R N Phys. Rev. Lett. 23 838 (1969) Albrecht-Marc M et al. Phys. Plasmas 14 072704 (2007) Luque A, Schamel H, Fedele R Phys. Lett. A 324 185 (2004) Biermann L Z. Naturforsch. A 5 65 (1950) Weibel E S Phys. Rev. Lett. 2 83 (1959) Gruzinov A Astrophys. J. L15 (2001) Schlickeiser R, Shukla P K Astrophys. J. 599 L57 (2003) Вашими Х, Карпман В И ЖЭТФ 71 1010 (1976); Washimi H, Karpman V I Sov. Phys. JETP 44 528 (1976) Karpman V I, Washimi H J. Plasma Phys. 18 173 (1977) Gradov O M, Stenflo L Z. Naturforsch. A 35 461 (1980) Gradov O M, Stenflo L Phys. Lett. A 95 233 (1983) Shukla P K, Yu M Y Plasma Phys. Control. Fusion 26 841 (1984) Shukla P K et al. Phys. Rep. 138 1 (1986) Tsintsadze L N, Shukla P K Phys. Lett. A 187 67 (1994) Tsintsadze L N, Shukla P K J. Plasma Phys. 74 431 (2008) Haas F Phys. Plasmas 15 022104 (2008) Haas F, Lazar M Phys. Rev. E 77 046404 (2008) Haas F, Shukla P K, Eliasson B J. Plasma Phys. 75 251 (2009) Pines D, Nozi res P The Theory of Quantum Liquids (New York: W.A. Benjamin, 1966) Lindhard J Danske Vid. Selsk. Mat.-Fys. Medd. 28 1 (1954) Cockayne E, Levine Z H Phys. Rev. B 74 235107 (2006) Wei M S et al. Phys. Rev. E 70 056412 (2004) Estabrook K Phys. Rev. Lett. 41 1808 (1978) Abramowitz M, Stegun I A (Eds) Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (New York: Dover Publ., 1972); Абрамовиц М, Стиган И (Ред.) Справочник по специальным функциям с формулами, графиками и математическими таблицами (М.: Наука, 1979) Lewin L Polylogarithms and Associated Functions (New York: North-Holland, 1981) von Rooss O Phys. Rev. 119 1174 (1960) Arista N R, Brandt W Phys. Rev. A 29 1471 (1984) Leemans W P et al. Phys. Rev. A 46 1091 (1992) Fried B D, Conte S D The Plasma Dispersion Function; the Hilbert Transform of the Gaussian (New York: Academic Press, 1961) Krall N A, Trivelpiece A W Principles of Plasma Physics (New York: McGraw-Hill, 1973) Davidson R C et al. Phys. Fluids 15 317 (1972) Eliasson B J. Comput. Phys. 225 1508 (2007) Shukla P K, Shukla N, Stenflo L J. Plasma Phys. 75 (2009), n press Oberman C, Ron A Phys. Rev. 130 1291 (1963) Kelley D C Phys. Rev. 134 A641 (1964) Benford G, Rostoker N Phys. Rev. 181 729 (1969) Кузелев М В, Рухадзе А А УФН 169 687 (1999); Kuzelev M V, Rukhadze A A Phys. Usp. 42 603 (1999) Melrose D B, Weise J I Phys. Plasmas 9 4473 (2002) Гинзбург В Л Распространение электромагнитных волн в плазме (М.: Физматгиз, 1960); Ginzburg V L Propagation of Electromagnetic Waves in Plasma (New York: Gordon and Breach, 1962) Абдуллаев А Ш Физ. плазмы 14 365 (1988); Abdullaev A Sh Sov. J. Plasma Phys. 14 214 (1988) Eliezer S et al. Phys. Plasmas 12 052115 (2005) Boose D, Perez A Phys. Lett. A 234 113 (1997) Kittel C Introduction to Solid State Physics 7th ed. (New York: Wiley, 1996), Ch. 14; Киттель Ч Введение в физику твердого тела (М.: Наука, 1978) Marklund M, Elliason B, Shukla P K Phys. Rev. E 76 067401 (2007) Shaikh D, Shukla P K Phys. Rev. Lett. 102 045004 (2009) Drake J F et al. Phys. Fluids 17 778 (1974) Yu M Y, Spatschek K H, Shukla P K Z. Naturforsch. A 29 1736 (1974) Stenflo L Phys. Plasmas T30 166 (1990) Sagdeev R Z, Galeev A A Nonlinear Plasma Theory (New York: Benjamin, 1969) Haas F Phys. Plasmas 14 042309 (2007) Haas F, Shukla P K Phys. Rev. E 79 066402 (2009) Marburger J H, Tooper R H Phys. Rev. Lett. 35 1001 (1975) Hakim R, Heyvaerts J Phys. Rev. A 18 1250 (1978) Шабад А Е Труды ФИАН 192 5 (1988); Shabad A Y Polarization of the Vacuum and a Quantum Relativistic Gas in an External Field (Proc. Lebedev Phys. Inst., Ed. V L Ginzburg) (New York: Nova Sci, Pub. Inc, 1991) Lamata L et al. Phys. Rev. Lett. 98 253005 (2007)