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160; M. Born. Das Adiabatenprinzip in der Quantenmechanik. - Zeitschrift für Physik. 1926. Bd. (40), 167-192. M. Born, V. Fock. Beweis der Adiabatensatzes. - Zeitschrift für Physik, 1928, Bd. 51, 165-180. M. Born. Physical aspects of quantum mechanics. - Nature, 1926, vol. 119, 354-357.  GZihke_^td h[Zq_ _dki_jbf_glbl_ gZ\eyahoZ \_q_ \ kZfby f_oZgbatf gZ ^_dho_j_gpby l_ gZ jZaiZ^Zg_lh gZ dho_j_glgZlZ kmi_jihabpby gZ ktklhygby oZjZdl_jgZ aZ bahebjZgby fbdjhh[_dl ^h klZlbklbq_kdZ kt\dmighkl hl ktklhygby ih^ \ta^_ckl\b_lh gZ hdhegZlZ kj_^Z  \` gZij : Schleich. Engineering decoherence. - Nature. Vol. 403 (2000), 256 G_shih\_q_dho_j_glgZkmi_jihabpbygZktklhygby\_q_ _ _dki_jbf_glZegh gZ[ex^Z\ZgZ b ijb fZdjhh[_dlb \` gZij G. Blatter. Schrödinger's cat is now fat. - Nature. Vol. 406 (2000), 2526)  Dh]Zlh k_ ]h\hjb q_ fbdjhh[_dl gZijbf_j _e_dljhg bgl_jn_jbjZ kZf ktk k_[_ kb k_ bfZ ij_^\b^ q_ k_ gZ[ex^Z\Z bgl_jn_j_gqgZ dZjlbgZ gZ \j_f_\Z ihke_^h\Zl_eghklhl_^bgbqghbaimkdZgb_e_dljhgb

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 S.Hauking. A Brief History of Time. Toronto, 1988, p. 60.  Hlghkgh hkh[_gby oZjZdl_j gZ q_l\tjlhlh kthlghr_gb_ aZ g_hij_^_e_ghkl gZ OZca_g[_j] f_`^m \j_f_ b _g_j]by  \` gZijE^_;jhceKhlghr_gbyg_hij_^_e_gghkl_c=_ca_g[_j]Z b \_jhylghklZy bgl_jij_lZpby \hegh\hc f_oZgbdb F  k 141-163, 310-324.

kts_kl\m\Z _ gZ k\hc j_^ gZitegh g_\tafh`_g Hl bgnhjfZpbhggZ ]e_^gZ lhqdZ gZ lZab kblmZpby k_ ktihklZ\y hkh[_gh ^\hbqgh ktklhygb_ d\Zglh\ [bl dx[bl  dhclh _ kmi_jihabpby k dhfie_dkgb dh_nbpb_glb gZ ^\_ hjlh]hgZegb ktklhygbydZdlhgZijbf_jijbRjvh^bg]_jh\ZlZdhldZ-`b\Z b ftjl\Z ijb iheh`_gb_ q_ kmfZlZ hl d\Z^jZlbl_ gZ fh^mebl_ gZ dhfie_dkgbl_ dh_nbpb_glb _ _^bgbpZ Ijb ^_dho_j_glgh \ta^_ckl\b_ gZ hdhegZlZ kj_^Z j_ki  Lh\Z _ ijbgpbitl gZ kmi_jihabpbylZ \ d\Zglh\ZlZ f_oZgbdZ \` gZij 3 'LUDF 7KH SULQFLSOHV RI 4XDQWXP 0HFKDQLFV 2[IRUG   Ihimeyj_g _ dZlh iZjZ^hdkZ aZ Rjvh^bg]_jh\ZlZ dhldZ dhylh _ \ kmi_jihabpby hl hjlh]hgZegbl_ ktklhygby `b\Z b ftjl\Z ( 6FKUödinger. Die gegenwärtige Situation in der Quantmechanik. Naturwissenschaften. Vol. 23 (1935), 807-812, 823828, 844-<fZdjhkdhibqghktklhygb_\aZbfh^_ckl\b_lhgZ ]he_fby [jhc fbdjhh[_dlb \h^b ^h ^_dho_j_glghkl gZ kmi_jihabpbylZl_d\Zglh\ZlZkmi_jihabpbyaZ_^bgbq_gh[_dl k_ j_^mpbjZ ^h klZlbklbq_kdZ \_jhylghkl  aZ ZgkZf[te hl h[_dlb < hkh[_gb kemqZc fh`_ ^Z k_ gZ[ex^Z\Z b dZlh kmi_jihabpby gZ fZdjhkdhibqgb ktklhygby L_hj_lbqgh _ ij_^kdZaZgh \ $ &DOGHULD $ /HJJHWW ,QIOXHQFH RI GLVVLSDWLRQ RQ quantum tunneling in macroscopic systems. - Physical review Letters. Vol. 46 (1981), 211- Ktsh $ Leggett et al. Dynamics of the dissipative 2-state system. - Review of Modern Physics. Vol. 59 (1987), 1-?dki_jbf_glZegh_ihl\tj^_gh\-)ULHGPDQHW al. Quantum superposition of distinct macroscopic states. - Nature. Vol. 406 (2000), 43- H[sh b ihimeyjgh baeh`_gb_ gZ \tijhkZ  k_ kt^tj`Z \ * %ODtter. Schrödinger's cat is now fat. Nature. Vol. 406 (2000), 25-26. <f_ahkdhibqgZkbkl_fZ-l_f_`^bggZf_`^mfbdjhh[_dlb fZdjhkbkl_fZ - fh`_ ^Z k_ gZ[ex^Z\Z _dki_jbf_glZegh ijhlbqZg_lh gZ ^_dho_j_glbaZpbylZ \ ihjy^tdZ hl  ^h  fbdjhk_dmg^bL_hj_lbqghh[hkgh\Z\Zg_:=XUHN'HFRKHUHQFH and the transition from quantum to classical. - Physics Today. Vol. 44 (1991), 36- Ktsh & 0RQURH HW DO $ 6FKUödinger cat" superposition state of an atom. - Science. Vol. 272 (1996) 1131

^bkbiZpbygZd\Zglh\byZgkZf[te d\Zglh\ZlZbgnhjfZpbyk_ j_^mpbjZ^hklZlbklbq_kdhjZaij_^_e_gb_gZh[bqZcgb[blh\_ dZlh\k_dbdhgdj_l_gdx[blk_j_^mpbjZ^h_^ghhlk\hbl_^\_ hjlh]hgZegbktklhygby K[etkd\Zf_ k_ k ihebk_fby gZ ij_^klZ\ZlZ aZ \tegZ bf_ggh dZlh fbke_g_ aZ hlktkl\b_lh gZ ijhkljZgkl\_gh\j_f_\Z ehdZebaZpby qj_a ijhkljZgkl\_gh-\j_f_\Z ehdZebabjZghkl gZ \kbqdb lhqdb hl kj_^ZlZ AZ[em^_gb hl GZ[ex^Z\Zg_gZ^_dho_j_glghkl\f_ahkdhibqgZkbkl_fZ M. Brune. Observing the progressive decoherence of the metter in a quantum measurement. - Physical Review Letters (1986) 4887-4890. ?dki_jbf_gl aZ gZ[ex^Z\Zg_ g_ ^_dho_j_glghkllZ \ f_ahkdhibqgZ kbkl_fZ & 0\DWW HW al. Decoherence of quantum superpositions through coupling to engineered reservoirs. - Nature. Vol. 403 (2000), 269- L\tj^_ ex[hiblgh _ q_ k_ gZ[ex^Z\Z h[jZlbfhkl gZ ^_dho_jglbaZpbylZ ]jm[h dZaZgh ijb ihgZltlZrgh m\_ebqZ\Zg_ jZaf_jbl_ gZ f_ahkdhibqgZlZ kbkl_fZ J. Raimond. Reversible decoherence of a mezoscopic superpositions of field states. - Physical Review Letters. Vol. 79. (1997), 1964-1967. L_hj_lbqgh ij_^kdZaZgb_ b h[ykg_gb_ gZ lZab h[jZlbfhkl 6 Wilkinson. et al. Experimental in quantum tunneling. - Nature. Vol. 387 (1997), 575- < gZkhdZlZ gZ fhylZ klZlby fgh]h \Z`gh _ h[ykg_gb_lh gZ ^_dho_j_glghkllZ dZlh ^bkbiZpby ' :DOOV 0 Milburn. Effect of dissipation on quantum coherence. - Physical Review. Vol. A. 31 (1985), 2403- H[sh b ihimeyjgh  aZihagZ\Zg_ k ^_dho_j_glghkllZ : 6FKOHLFK (QJLQHHULQJ decoherence. - Nature. Vol. 403 (2000), 256-257.  GZebp_ _ ih-kdhjh djt] hl y\e_gby qbylh f_lZnhjZ _ \tegZlZ:gZebatlihdZa\Zq_hkfbkeyg_lhgZnbehkhnkdbl_ ij_^ihklZ\db klZ\Z qj_a baihea\Zg_ gZ f_lZnhjb Z g_ gZ ]hlh\b nbehkhnkdb dZl_]hjbb dhblh f_lZnhjb ke_^ lh\Z k_ hkfbkeyl jZpbhgZebabjZl  qj_a nbehkhnkdb dZl_]hjbb Qj_a l_abf_lZnhjb\a_lbhldmelmjgbynhg^bmihlj_[y\Zgb\fgh]h rbjhdkfbkteih-e_kghgh\hlhagZgb_k_\dexq\ZdtfklZjhlh dtf \_q_ ba\_klghlh Qj_a l_ab rbjhdh baihea\Zgb f_lZnhjb ij_^klZ\bl_ebl_ gZ _^gZ gZmdZ k_ fbkeyl \_q_ dZlh 

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<`gZij/GH%URJOie. La physique nouvelle et les Quanta. Paris, 1937, 139-145; L. de Broglie. Physique et microphysique. Paris, 1947, 78-Hlghkghl_hjbylZgZ^\hcghlhj_r_gb_L. de Broglie. Etude critique des bases de l'interpretation actuelle de la mecanique ondulatoire. Paris, 1963, 37-50; 71-80.  W. Pauli. Über Gasentartung und Paramagnetismus. - Zeitschrift für Physik, 1927, Bd. 41, 284-303.  P. Jordan. Über neue Begründung der Quantmechanik. Zeitschrift für Physik, 1927, Bd. 40. 809-838.

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nonlocality in three-photon Greenberger-Horne-Zeilinger entanglement. - Nature. Vol. 403 (2000) 515-519.  <` gZij ' *UHHQEHUJHU HW DO %HOO V WKHRUHP ZLWKRXW inequalities. - American Journal Physics. Vol. 58 (1990) 1131-1143.  AZ aZihagZ\Zg_ ktk kt\j_f_gghlh ktklhygb_ ih ijh[e_fZ \ ojhgheh]bq_gj_^::RRWHUV:=XUHN$VLQJOHTXDQWXPFDQQRW be cloned. - Nature. Vol. 299 (1982), 802-803; D. Dieks. Communication by EPR devices. - Physical Letters. Vol. A 92 (1982), 271-272; H. Yuen. Amplification of quantum states and noiseless photon amplifiers. - Physical Letters A. Vol. 113 (1986), 405-407; C. C. Benett et al. Teleporting an unknoun quantum state via dual classical and Einstein-Podolsky-Rosen channels (1993) - Physical Review Letters. Vol 70. (1993), 1895-1899; V. Buzek, M. Hillery. Quantum copying. Beyond the no-cloning theorem. Physical Review. Vol. A 54 (1996), 1844-1852; V. Buzek et al. Quantum copying: A network. - Physical Review. Vol. A 56 (1997), 3446-3452; D. Boumeester et al. Experimental quantum teleportation. - Nature. Vol. 390 (1997), 575-579; N. Gisin, S. Massar. Optimal quantum cloning machines. - Physical Review Letters. Vol. 79 (1997), 2153-2156; L. Duan, G. Guo. A probabilistic cloning machine for replicating two non-orthogonal states. - Physical Letters. Vol. A 243 (1998) 261-264; L. Duan, G. Guo. Probabilistic cloning and identification of linearly independent states. Physical Review Letters. Vol. A 243 (1998), 4999-5002; D. Boschi et al. Experimental realization of teleporting an unknown pure quantum state via dual classical and EinsteinPodolsky-Rosen channels - Physical Review Letters. Vol. 80 (1998), 1121-1125; A. Furusawa et al. Unconditional quantum teleportation. Science. Vol. 282 (1998), 706-709; A. Pati. Quantum superposition of multiple clones and novel cloning machine. - Physical Review Letters. Vol. 83. (1999), 2849-2852; W. Zurek. Schrödinger's sheep. Nature. Vol. 404 (2000), 130-131. EZ\bghh[jZaghlh m\_ebqZ\Zg_ gZim[ebdZpbbl_\lZabh[eZkl_kZfhihk_[_kbihdZaZl_egh

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