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Schrödinger operators with magnetic fields. III: Atoms in homogeneous magnetic field. (English) Zbl 0464.35086

MSC:
35Q99 Partial differential equations of mathematical physics and other areas of application
81T99 Quantum field theory; related classical field theories
35J10 Schrödinger operator, Schrödinger equation
78A25 Electromagnetic theory (general)
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[1] Aguilar, J., Combes, J.: Commun. Math. Phys.22, 269 (1971) · Zbl 0219.47011
[2] Agmon, S.: In preparation and Proc. Plejl Conference
[3] Ahlrichs, R., Hoffman-Ostenhof, M., Hoffman-Ostenhof, T., Morgan, J.: Vienna Preprint and Proc. Lausanne Conference
[4] Antonec, M.A., Skereshevsky, I.A., Zhislin, G.M.: Soviet Math. Dok.18, 688 (1975)
[5] Avron, J.: Ann. Phys. (NY) (to appear)
[6] Avron, J., Adams, B.G., Cizek, J., Clay, M., Glasser, M.L., Otto, P., Paldus, J., Vrscay, E.: Phys. Rev. Lett.43, 691 (1979)
[7] Avron, J., Herbst, I., Simon, B.: Phys. Lett.62, 214 (1977)
[8] Avron, J., Herbst, I., Simon, B.: Phys. Rev. Lett.39, 1068 (1977)
[9] Avron, J., Herbst, I., Simon, B.: Duke Math. J.45, 847 (1978) · Zbl 0399.35029
[10] Avron, J., Herbst, I., Simon, B.: Ann. Phys. (NY)114, 431 (1978) · Zbl 0409.35027
[11] Avron, J., Herbst, I., Simon, B.: Phys. Rev. A20, 2287-2296 (1979)
[12] Balslev, E., Combes, J.M.: Commun. Math. Phys.22, 280 (1971) · Zbl 0219.47005
[13] Battle, G., Rosen, L.: J. Stat. Phys.22, 123 (1980)
[14] Blankenbecker, R., Goldberger, M., Simon, B.: Ann. Phys.108, 69 (1977)
[15] Combes, J., Thomas, L.: Commun. Math. Phys.34, 251 (1973) · Zbl 0271.35062
[16] Deift, P., Hunziker, W., Simon, B., Vock, E.: Commun. Math. Phys.64, 1 (1978/1979) · Zbl 0419.35079
[17] Fortuin, C., Kastelyn, P., Ginibre, J.: Commun. Math. Phys.22, 89 (1971) · Zbl 0346.06011
[18] Ginibre, J.: Commun. Math. Phys.16, 310 (1970)
[19] Griffiths, R.: J. Math. Phys.8, 478, 484 (1967)
[20] Guerra, F., Rosen, L., Simon, B.: Ann. Math.101, 111 (1975)
[21] Haerington, H., van: J. Math. Phys. (NY)19, 2171 (1978)
[22] Herbst, I.: Commun. Math. Phys.64, 279 (1979) · Zbl 0447.47028
[23] Herbst, I., Simon, B.: Commun. Math. Phys. (to appear)
[24] Herbst, I., Sloan, A.: Trans. Am. Math. Soc.236, 325-360 (1978)
[25] Hotop, H., Lineberger, W.C.: J. Phys. Chem. Ref. Data4, 539 (1975)
[26] Kemperman, J.: Nederl. Akad. Wetensch. Proc. Ser. A80, 313 (1977)
[27] Klaus, M.: Ann. Phys. (NY)108, 288 (1977) · Zbl 0427.47033
[28] Klaus, M.: Private communication
[29] Larsen, D.: Phys. Rev. Lett.42, 742 (1979)
[30] Lavine, R., O’Carroll, M.: J. Math. Phys.18, 1908 (1977)
[31] Leung, C., Rosner, J.: J. Math. Phys.20, 1435 (1979)
[32] Lieb, E., Simon, B.: J. Phys. B11, L537 (1978)
[33] Martin, A.: Private communication
[34] Morgan, J., Simon, B.: Int. J. Quantum Chem.17, 1143-1166 (1980)
[35] Polyzou, W.: J. Math. Phys.21, 506 (1980)
[36] Reed, M., Simon, B.: Methods of modern mathematical physics. II. Fourier analysis, self-adjointness. London, New York: Academic Press 1975 · Zbl 0308.47002
[37] Reed, M., Simon, B.: Methods of modern mathematical physics. IV. Analysis of operators. London, New York: Academic Press 1978 · Zbl 0401.47001
[38] Rosner, J., Quigg, C.: Phys. Rep. C56, 167 (1974)
[39] Rosner, J., Quigg, C., Thacker, H.: Phys. Lett.74B, 350 (1978)
[40] Sax, K.: Princeton Senior Thesis 1973 (unpublished)
[41] Sokal, A.: J. Math. Phys.21, 261 (1980) · Zbl 0441.40012
[42] Simon, B.: Ann. Phys. (NY)58, 76 (1970)
[43] Simon, B.: Ann. Phys. (NY)97, 279 (1976) · Zbl 0325.35029
[44] Simon, B.: Phys. Rev. Lett.36, 804 (1976)
[45] Simon, B.: Functional integration and quantum physics. London, New York: Academic Press 1979 · Zbl 0434.28013
[46] Yafeev, D.: Func. Anal. Appl.6, 349 (1972)
[47] Hasegawa, H., Howard, R.: J. Phys. Chem. Solids21, 179 (1961)
[48] Herbst, I.: Behavior of quantum probability distributions upon addition of an attractive potential (in preparation)
[49] Simon, B.: Trace ideal methods. Cambridge: Cambridge University Press 1979
[50] Simon, B.: J. Op. Th.1, 37 (1979)
[51] Kato, T.: Perturbation theory for linear operators. Berlin, Heidelberg, New York: Springer 1976 · Zbl 0342.47009
[52] Miller, W.: Symmetry groups and their applications. AP. 1977, esp. Sect. 4.3
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