@article{SEDP_1986-1987____A22_0, author = {Sigal, I. M.}, title = {Mathematical questions of quantum many-body theory}, journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"}, note = {talk:23}, pages = {1--24}, publisher = {Ecole Polytechnique, Centre de Math\'ematiques}, year = {1986-1987}, zbl = {0656.35133}, language = {en}, url = {http://www.numdam.org/item/SEDP_1986-1987____A22_0/} }
TY - JOUR AU - Sigal, I. M. TI - Mathematical questions of quantum many-body theory JO - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" N1 - talk:23 PY - 1986-1987 SP - 1 EP - 24 PB - Ecole Polytechnique, Centre de Mathématiques UR - http://www.numdam.org/item/SEDP_1986-1987____A22_0/ LA - en ID - SEDP_1986-1987____A22_0 ER -
%0 Journal Article %A Sigal, I. M. %T Mathematical questions of quantum many-body theory %J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" %Z talk:23 %D 1986-1987 %P 1-24 %I Ecole Polytechnique, Centre de Mathématiques %U http://www.numdam.org/item/SEDP_1986-1987____A22_0/ %G en %F SEDP_1986-1987____A22_0
Sigal, I. M. Mathematical questions of quantum many-body theory. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1986-1987), Talk no. 23, 24 p. http://www.numdam.org/item/SEDP_1986-1987____A22_0/
[AC] Comm. Math. Phys. 22 (1971), 269-279. | MR | Zbl
and ,[AH] Comm. Math. Phys. 52 (1977), 239-254. | MR | Zbl
and ,[BC] Comm. Math. Phys. 22 (1971), 280-294. | MR | Zbl
and ,[BL] Phys. Rev. Lett. 50 (1983), 1771.
and ,[BCD1] J. Math. Ann. 1987.
, and ,[BCD2] Spectral stability through tunneling, Preprint, Marseille.
, and ,[BCDS]
, , and , Preprint Marseille.[Co] Mathematical Problem of theoretical" Springer Lutun Notes in Physics (1982).
, in "[Cy] Helv. Phys. Acta 58 (1985), 968-981. | MR
,[DS] Comm. Pure Appl. Math. 30 (1977), 573-583. | MR | Zbl
and ,[En] Schrödinger Operators" (Graffi ed.) Snringer Lecture Notes in Math. n°1159 (1985). | Zbl
, in "[Ep1] Ann. der Physik 50 (1916), 489-520.
,[Ep2] Phys. Rev. 28 (1926), 695-710. | JFM
,[GS] Comm. Math. Phys. 108 (1987), 391-421. | MR | Zbl
and ,[GG] Comm. Math. Phys. 79 (1981), 91-109. | MR | Zbl
and ,[HaSi] Duke Math. J. 47 (1980), 845-902. | MR | Zbl
and ,[HeSj] Mém. S.M.F. n°24/25 Suppl. Bull. S.M.F. 114 (1986). | Numdam
and ,[HeSi] Comm. Math. Phys. 80 (1981), 181-216. | MR | Zbl
and ,[HiSi] Proceed. Int. Conf. Diff. Eq. Math. Phys. (Knowles and Saito, eds), and shape resonances, Preprint.
and , in[Hö] L'Enseign. Math. 17 (1971), 99-163. | MR | Zbl
,[Hu1] Ann. Inst. H. Poincaré 45 (1986), 339-358. | Numdam | MR | Zbl
,[Hu2]
, In preparation.[Ka1] Math. Anal. 162 (1966), 258-279. | MR | Zbl
,[Ka2] Studia Math. XXXI (1968), 535-546. | MR | Zbl
,[Lan] Z. für Physik 62 (1930), 518-544, 65 (1930), 431-455 and 68 (1931), 204-232.
,[LL] Quantum Mechanics | Zbl
and ,[La1] Proc. AMS 22 (1969), 55-60. | MR | Zbl
,[La2] J. Funct. Anal. 5 (1970), 368-382. | Zbl
,[La3] Comm. Math. Phys. 20 (1971), 302-323. | MR | Zbl
,[La4] Ind. Univ. Math. J. 21 (1972), 643-656. | MR | Zbl
,[La5] J. Funct. Anal. 12 (1973), 30-54. | Zbl
,[La6] J. Math. Phys. 14 (1973), 376-379. | MR | Zbl
,[Li] Phys. Rev. A 29 (1984), 3018.
,[LSST] Phys. Rev. Lett.52 (1984), 994-996, complete version wild be submitted to Comm. Math. Phys. | MR
, , and ,[He-Ma] Comparaison entre les diverses notions de résonances. Preprint Orsay. | MR
, ,[Mo] Comm. Math. Physics 78 (1981), 391-408. | MR | Zbl
,[Op] Phys. Rev. 31 (1928), 66-81. | JFM
,[PSS] Annal. Math. 114 (1981), 519-567. | MR | Zbl
, and ,[Ru] Comm. Math. Phys. 82 (1982) 457 and 85 (1982), 325. | MR
,[RS] Methods of modern Mathematical Physics, III, Acad. Press. | Zbl
and ,[Sch] Ann. der Physik 80 (1926), 457-490. | JFM
,[Sig1] Comm. Math. Phys. 85 (1982), 309-324. | MR | Zbl
,[Sig2] Scattering theory for many-body quantum mathematical systems, Springer Lecture Notes in Mathematics, n°1011, 1983. | MR | Zbl
,[Sig3] Annal. Phys. 157 (1984), 307-320. | MR
,[Sig4] Ann. Inst H. Poincaré, 41 (1984), 103-114 and 333. | Numdam | MR | Zbl
,[Sig5] Stark effect in multielectron systems. Non-existence of bound states, Preprint, Toronto, Submitted to Comm. Math. Phys. | Zbl
,[Sig6] Bounds on resonance states and width of resonances, Preprint Toronto
,[Sig7] On the long-range scattering, Preprint, Toronto
,[Sig8] Geometrical theory of Stark resonances in multielectron systems. Preprint, Toronto.
,[SigSof1]Annal. Math. 125 (1987).
and ,[SigSof2] Strong local decay and velocity estimates, Preprint, CALTECH.
and ,[SigSof3] Sharp propagation estimates, in preparation.
and ,[Sim1] Ann. Math. 97 (1973), 247-274. | MR | Zbl
,[Sim2] Phys. Lett. 71 A (1979), 211-214.
,[TU] W. THIRRING and URBAN (eds), Schrödinger Equation, Suppl. Acta Phys. Austriaca
[Tit1] Proc. Roy. Soc. A200 (1949), 39-46.
,[Tit2] Proc. Roy. Soc. A201 (1950), 473-479. | MR | Zbl
,[Tit3] Proc. Roy. Soc. A207 (1951), 321-328. | MR | Zbl
,[Tit4] Proc. Roy. Soc. A210 (1951), 30-47. | MR | Zbl
,[Tit5] J. Anal. Math.4 (1954-1956), 187-208. | Zbl
,[Tit6] Proc. Lond. Math. Soc. 5 (1955), 1-21. | MR | Zbl
,[Tit7] Eigenfunction Expansions Associates with second order differential equations, Oxford Univ. Press. 1958. | MR | Zbl
,[Zh] Trudy Mosk Mat. Obs.9 (1960), 81-128 (in Russian).
,