On the double-well problem for Dirac operators
Harrell, Evans M. ; Klaus, M.
Annales de l'I.H.P. Physique théorique, Tome 39 (1983), p. 153-166 / Harvested from Numdam
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@article{AIHPA_1983__38_2_153_0,
     author = {Harrell, Evans and Klaus, M.},
     title = {On the double-well problem for Dirac operators},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {39},
     year = {1983},
     pages = {153-166},
     mrnumber = {705337},
     zbl = {0529.35062},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1983__38_2_153_0}
}

Harrell, Evans M.; Klaus, M. On the double-well problem for Dirac operators. Annales de l'I.H.P. Physique théorique, Tome 39 (1983) pp. 153-166. http://gdmltest.u-ga.fr/item/AIHPA_1983__38_2_153_0/

[1] B. Mueller, W. Greiner, Zeitschrift f. Naturforschung, t. 31 a, 1976, p. 1-30.

[2] J. Rafelski, L.P. Fulcher, A. Klein, Phys. Rep., t. 38, 1978, p. 227-361.

[3] V.A. Lyulka, Theor. and Math. Phys., t. 28, 1976, p. 737-744.

[4] M. Klaud, Dirac operators with several Coulomb singularities, Helv. Phys. Acta, t. 53, 1980, p. 464-482. | MR 611770

[5] J. Morgan, B. Simon, Int. J. Quantum Chem., t. 17, 1980, p. 1143-1116.

[6] F. Weinhold, J. Math. Phys., t. 11, 1970, p. 2127-2138. | MR 269242

[7] W. Thirring, Lehrbuch der mathematischen Physik, Vol. III: Quantenmechanik von Atomen und Molekuelen, Vienna, Springer, 1979; English translation as. A course in Mathematical Physics, Vol. III: Quantum Mechanics of Atoms and Molecules, New York and Vienna, Springer, in press, 1981. | MR 537034 | Zbl 0408.46054

[8] E.M. Harrell, Comm. Math. Phys., t. 75, 1980, p. 239-261. | MR 581948 | Zbl 0445.35036

[9] T. Kato, Perturbation theory for linear operators, 2nd ed., New York, Springer, 1976. | MR 407617 | Zbl 0342.47009

[10] M. Reed, B. Simon, Methods of Modern Mathematical Physics, Vol. IV: Analysis of Operators, New York, Academic Press, 1978. | Zbl 0401.47001

[11] This is modeled on an argument made in conversation by R. Seiler.

[12] J.M. Combes, L. Thomas, Comm. Math. Phys., t. 34, 1973, p. 251-270. | MR 391792 | Zbl 0271.35062

[13] T. Kato, Comm. Pure and Applied Math., t. 10, 1957, p. 151-177. | MR 88318 | Zbl 0077.20904

[14] R. Ahlrichs, Theor. Chim. Acta, t. 41, 1976, p. 7-15.

[15] E.M. Harrell, Proc. Am. Math. Soc., t. 69, 1978, p. 271-276. | MR 487733 | Zbl 0345.47007

[16] E.B. Davies, The twisting trick for double-well Hamiltonians, Comm. Math. Physics, to appear. | MR 678157 | Zbl 0524.47019