Mathematical questions of quantum many-body theory
Séminaire Goulaouic-Schwartz (1986-1987), Exposé no. 23, 24 p. 
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     author = {Sigal, I. M.},
     title = {Mathematical questions of quantum many-body theory},
     journal = {S\'eminaire Goulaouic-Schwartz},
     note = {talk:23},
     pages = {1--24},
     year = {1986-1987},
     publisher = {Ecole Polytechnique, Centre de Math\'ematiques},
     zbl = {0656.35133},
     language = {en},
     url = {https://www.numdam.org/item/SEDP_1986-1987____A22_0/}
}
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Sigal, I. M. Mathematical questions of quantum many-body theory. Séminaire Goulaouic-Schwartz (1986-1987), Exposé no. 23, 24 p.. https://www.numdam.org/item/SEDP_1986-1987____A22_0/

[AC] J. Aguilar and J.M. Combes, Comm. Math. Phys. 22 (1971), 269-279. | Zbl | MR

[AH] J.E. Avron and I. Herbst, Comm. Math. Phys. 52 (1977), 239-254. | Zbl | MR

[BC] E. Balslev and J.M. Combes, Comm. Math. Phys. 22 (1971), 280-294. | Zbl | MR

[BL] R. Benguria and E.H. Lieb, Phys. Rev. Lett. 50 (1983), 1771.

[BCD1] Ph. Briet, J.M. Combes and P. Duclos, J. Math. Ann. 1987.

[BCD2] Ph. Briet, J.M. Combes and P. Duclos, Spectral stability through tunneling, Preprint, Marseille.

[BCDS] Ph. Briet, J.M. Combes, P. Duclosand I.M. Sigal, Preprint Marseille.

[Co] J.M. Combes, in "Mathematical Problem of theoretical" Springer Lutun Notes in Physics (1982).

[Cy] H.L. Cycon, Helv. Phys. Acta 58 (1985), 968-981. | MR

[DS] P. Deift and B. Simon, Comm. Pure Appl. Math. 30 (1977), 573-583. | Zbl | MR

[En] V. Enss, in "Schrödinger Operators" (Graffi ed.) Snringer Lecture Notes in Math. n°1159 (1985). | Zbl

[Ep1] P.S. Epstein, Ann. der Physik 50 (1916), 489-520.

[Ep2] P.S. Epstein, Phys. Rev. 28 (1926), 695-710. | JFM

[GS] C. Gerard and J. Sjostrand, Comm. Math. Phys. 108 (1987), 391-421. | Zbl | MR

[GG] S. Graffi and V. Grecchi, Comm. Math. Phys. 79 (1981), 91-109. | Zbl | MR

[HaSi] E. Harrellii and B. Simon, Duke Math. J. 47 (1980), 845-902. | Zbl | MR

[HeSj] B. Helffer and J. Sjostrand, Mém. S.M.F. n°24/25 Suppl. Bull. S.M.F. 114 (1986). | Numdam

[HeSi] I. Herbst and B. Simon, Comm. Math. Phys. 80 (1981), 181-216. | Zbl | MR

[HiSi] P. Hislop and I.M. Sigal, in Proceed. Int. Conf. Diff. Eq. Math. Phys. (Knowles and Saito, eds), and shape resonances, Preprint.

[Hö] L. Hormander, L'Enseign. Math. 17 (1971), 99-163. | Zbl | MR

[Hu1] W. Hunziker, Ann. Inst. H. Poincaré 45 (1986), 339-358. | Zbl | MR | Numdam

[Hu2] W. Hunziker, In preparation.

[Ka1] T. Kato, Math. Anal. 162 (1966), 258-279. | Zbl | MR

[Ka2] T. Kato, Studia Math. XXXI (1968), 535-546. | Zbl | MR

[Lan] C. Lanczos, Z. für Physik 62 (1930), 518-544, 65 (1930), 431-455 and 68 (1931), 204-232.

[LL] L. Landau and E. Lifshitz, Quantum Mechanics | Zbl

[La1] R. Lavine, Proc. AMS 22 (1969), 55-60. | Zbl | MR

[La2] R. Lavine, J. Funct. Anal. 5 (1970), 368-382. | Zbl

[La3] R. Lavine, Comm. Math. Phys. 20 (1971), 302-323. | Zbl | MR

[La4] R. Lavine, Ind. Univ. Math. J. 21 (1972), 643-656. | Zbl | MR

[La5] R. Lavine, J. Funct. Anal. 12 (1973), 30-54. | Zbl

[La6] R. Lavine, J. Math. Phys. 14 (1973), 376-379. | Zbl | MR

[Li] E.H. Lieb, Phys. Rev. A 29 (1984), 3018.

[LSST] E.H. Lieb, I.M. Sigal, B. Simon and W. Thirring, Phys. Rev. Lett.52 (1984), 994-996, complete version wild be submitted to Comm. Math. Phys. | MR

[He-Ma] B. Helffer, A. Martinez, Comparaison entre les diverses notions de résonances. Preprint Orsay. | MR

[Mo] E. Mourre, Comm. Math. Physics 78 (1981), 391-408. | Zbl | MR

[Op] R. Oppenheimer, Phys. Rev. 31 (1928), 66-81. | JFM

[PSS] P. Perry, I.M. Sigal and B. Simon, Annal. Math. 114 (1981), 519-567. | Zbl | MR

[Ru] R.M. Ruskai, Comm. Math. Phys. 82 (1982) 457 and 85 (1982), 325. | MR

[RS] M. Reed and B. Simon, Methods of modern Mathematical Physics, III, Acad. Press. | Zbl

[Sch] E. Schrodinger, Ann. der Physik 80 (1926), 457-490. | JFM

[Sig1] I.M. Sigal, Comm. Math. Phys. 85 (1982), 309-324. | Zbl | MR

[Sig2] I.M. Sigal, Scattering theory for many-body quantum mathematical systems, Springer Lecture Notes in Mathematics, n°1011, 1983. | Zbl | MR

[Sig3] I.M. Sigal, Annal. Phys. 157 (1984), 307-320. | MR

[Sig4] I.M. Sigal, Ann. Inst H. Poincaré, 41 (1984), 103-114 and 333. | Zbl | MR | Numdam

[Sig5] I.M. Sigal, Stark effect in multielectron systems. Non-existence of bound states, Preprint, Toronto, Submitted to Comm. Math. Phys. | Zbl

[Sig6] I.M. Sigal, Bounds on resonance states and width of resonances, Preprint Toronto

[Sig7] I.M. Sigal, On the long-range scattering, Preprint, Toronto

[Sig8] I.M. Sigal, Geometrical theory of Stark resonances in multielectron systems. Preprint, Toronto.

[SigSof1]I.M. Sigal and A. Soffer, Annal. Math. 125 (1987).

[SigSof2] I.M. Sigal and A. Soffer, Strong local decay and velocity estimates, Preprint, CALTECH.

[SigSof3] I.M. Sigal and A. Soffer, Sharp propagation estimates, in preparation.

[Sim1] B. Simon, Ann. Math. 97 (1973), 247-274. | Zbl | MR

[Sim2] B. Simon, Phys. Lett. 71 A (1979), 211-214.

[TU] W. THIRRING and URBAN (eds), Schrödinger Equation, Suppl. Acta Phys. Austriaca

[Tit1] E.C. Titchmarsh, Proc. Roy. Soc. A200 (1949), 39-46.

[Tit2] E.C. Titchmarsh, Proc. Roy. Soc. A201 (1950), 473-479. | Zbl | MR

[Tit3] E.C. Titchmarsh, Proc. Roy. Soc. A207 (1951), 321-328. | Zbl | MR

[Tit4] E.C. Titchmarsh, Proc. Roy. Soc. A210 (1951), 30-47. | Zbl | MR

[Tit5] E.C. Titchmarsh, J. Anal. Math.4 (1954-1956), 187-208. | Zbl

[Tit6] E.C. Titchmarsh, Proc. Lond. Math. Soc. 5 (1955), 1-21. | Zbl | MR

[Tit7] E.C. Titchmarsh, Eigenfunction Expansions Associates with second order differential equations, Oxford Univ. Press. 1958. | Zbl | MR

[Zh] G. Zhislin, Trudy Mosk Mat. Obs.9 (1960), 81-128 (in Russian).