On the double-well problem for Dirac operators
Annales de l'I.H.P. Physique théorique, Volume 38 (1983) no. 2, pp. 153-166.
@article{AIHPA_1983__38_2_153_0,
     author = {Harrell, Evans M. and Klaus, M.},
     title = {On the double-well problem for {Dirac} operators},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {153--166},
     publisher = {Gauthier-Villars},
     volume = {38},
     number = {2},
     year = {1983},
     zbl = {0529.35062},
     mrnumber = {705337},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1983__38_2_153_0/}
}
TY  - JOUR
AU  - Harrell, Evans M.
AU  - Klaus, M.
TI  - On the double-well problem for Dirac operators
JO  - Annales de l'I.H.P. Physique théorique
PY  - 1983
DA  - 1983///
SP  - 153
EP  - 166
VL  - 38
IS  - 2
PB  - Gauthier-Villars
UR  - http://www.numdam.org/item/AIHPA_1983__38_2_153_0/
UR  - https://zbmath.org/?q=an%3A0529.35062
UR  - https://www.ams.org/mathscinet-getitem?mr=705337
LA  - en
ID  - AIHPA_1983__38_2_153_0
ER  - 
%0 Journal Article
%A Harrell, Evans M.
%A Klaus, M.
%T On the double-well problem for Dirac operators
%J Annales de l'I.H.P. Physique théorique
%D 1983
%P 153-166
%V 38
%N 2
%I Gauthier-Villars
%G en
%F 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, Volume 38 (1983) no. 2, pp. 153-166. http://www.numdam.org/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

[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

[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 | Zbl

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

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

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

[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 | Zbl

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

[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 | Zbl

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