The polaron model revisited : rigorous construction of the dressed electron
Annales de l'I.H.P. Physique théorique, Tome 31 (1979) no. 2, pp. 141-168.
@article{AIHPA_1979__31_2_141_0,
     author = {Alvarez-Estrada, R. F.},
     title = {The polaron model revisited : rigorous construction of the dressed electron},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {141--168},
     publisher = {Gauthier-Villars},
     volume = {31},
     number = {2},
     year = {1979},
     mrnumber = {561919},
     language = {en},
     url = {archive.numdam.org/item/AIHPA_1979__31_2_141_0/}
}
Alvarez-Estrada, R. F. The polaron model revisited : rigorous construction of the dressed electron. Annales de l'I.H.P. Physique théorique, Tome 31 (1979) no. 2, pp. 141-168. http://archive.numdam.org/item/AIHPA_1979__31_2_141_0/

[1] W. Jones and N.H. March, Theoretical Solid State Physics, vol. 2 : Non-Equilibrium and Disorder, chapter 9. Wiley-Interscience, John Wiley, London, 1973.

[2] C. Kittel, Quantum Theory of Solids, chapter 7, John Wiley and Sons, New York, 1964. | Zbl 0121.44701

[3] Polarons and Excitons (Scottish Universities Summer School), edited by C. G. Kuper and G. D. Whitfield, Oliver and Boyd, Edinbourgh, 1963.

[4] J. Appel, Polarons, Solid State Physics (Advances in Research and Applications) edited by F. Seitz, D. Turnbull and H. EHRENREICH, t. 21, 1968, p. 193-392.

[5] Polarons in Ionic Crystals and Polar Semiconductors, edited by J. Devreese, North Holland, Amsterdam, 1972.

[6] J. Devreese and R. Evrard in Linear Electron Transport in Solids, edited by J. Devreese and V. E. Van Doren, Plenum Press, New York, 1976.

[7] J. Devreese in Path Integrals and their Applications in Quantum, Statistical and Solid State Physics, edited by G. J. Papadopoulos and J. Devreese, Plenum Press, New York, 1978. | MR 528115

[8] R.P. Feynman, Statistical Mechanics. A set of Lectures. Chapter 8, Frontiers in Physics, W. A. Benjamin, Reading, Mass., 1972. | MR 1634071

[9] R.P. Feynman and A.R. Hibbs, Quantum Mechanics and Path Integrals, chapter 11, McGraw-Hill, New York, 1965. | Zbl 0176.54902

[10] K. Friedrichs, Mathematical Aspects of Quantum Field Theory, Interscience, New York, 1953. | MR 56468

[11] K. Friedrichs and A. Galindo, Comm. Pure and Appl. Math., t. 15, 1962, p. 427. | MR 149855 | Zbl 0125.46105

[12] Y. Kato and N. Mugibayashi, Progr. Theor. Phys., t. 30, 1963, p. 103. | MR 159586

[13] K. Friedrichs, Perturbation of Spectra in Hilbert Space, American Math. Soc., Providence, Rhode Island, 1965. | MR 182883 | Zbl 0142.11001

[14] F.J. Yndurain, Rev. Acad. Ciencias Zaragoza, t. 20, 1965, p. 1.

[15] R. Schrader, Comm. Math. Phys., t. 10, 1968, p. 155. | Zbl 0159.59902

[16] K. Hepp, Theorie de la Renormalisation, Lecture Notes in Physics, vol. 2, Berlin, Springer Verlag, 1969. | MR 277208

[17] J.P. Eckmann, Comm. Math. Phys., t. 18, 1970, p. 247. | MR 272302 | Zbl 0203.27901

[18] J.T. Cannon, J. Funct. Anal., t. 8, 1971, p. 101. | Zbl 0216.41901

[19] A.D. Sloan, J. Math. Phys., t. 15, 1974, p. 190.

[20] L. Gross, J. Funct. Anal., t. 10, 1972, p. 52. | Zbl 0237.47012

[21] S. Albeverio, J. Math. Phys., t. 14, 1973, p. 1800.

[22] J.J. Ramos, Teoría de Campos No-Relativista para la Interacción N, Ph. D. Thesis, Univ. Complutense, Madrid, February 1977 ; R.F. Alvarez-Estrada and J.J. Ramos, Il Nuovo Cimento A, t. 50, 1979, p. 323.

[23] Y. Kato, Prog. Theor. Phys., t. 26, 1961, p. 99.

[24] E.P. Gross, Ann. Phys., t. 19, 1962, p. 219. | Zbl 0118.44503

[25] E. Nelson, J. Math. Phys., t. 5, 1964, p. 1190.

[26] J. Frohlich, Fortsch. der Phys., t. 22, 1974, p. 159.

[27] J. Frohlich, Ann. Inst. Henri Poincaré, t. 19, 1973, p. 1.

[28] Statistical Mechanics and Quantum Field Theory, edited by C. de Witt and R. Stora, Gordon and Breach, New York, 1971.

[29] J.M. Ziman, Elements of Advanced Quantum Theory, Chapter 3, Cambridge University Press, Cambridge, 1969. | MR 251965 | Zbl 0177.56701

[30] I. Tamm, J. Phys. (U. S. S. R.), t. 9, 1945, p. 449. | MR 954568

[31] S.M. Dancoff, Phys. Rev., t. 78, 1950, p. 382. | Zbl 0036.27303

[32] H. Frohlich, H. Pelzer and S. Zienau, Phil. Mag., t. 41, 1950, p. 221. | Zbl 0040.42905

[33] E. Haga, Prog. Theor. Phys., t. 11, 1954, p. 449. | Zbl 0056.23705

[34] T. Kato, Perturbation Theory for Linear Operators, Springer, New York, 1966. | MR 203473 | Zbl 0148.12601

[35] L. Collatz, Functional Analysis and Numerical Mathematics, Academic Press, New York, 1966. | MR 205126 | Zbl 0148.39002

[36] L.D. Landau and E. Lifchitz, Mécanique Quantique. Théorie Non Relativiste, chapter 15, Editions Mir, Moscou, 1967. | Zbl 0144.47605

[37] E.J. Johnson and D.M. Larsen, Phys. Rev. Let., t. 16, 1966, p. 655.

[38] D.M. Larsen, Phys. Rev., 135 A, 1964, p. 419 and references therein.

[39] D.M. Larsen, Phys. Rev., t. 144, 1966, p. 697.

[40] O.W. Greenberg, Phys. Rev., t. 139, 1965, B1038. | MR 187660

[41] L.M. Scarfone and J.A. Burns, J. Math. Phys., t. 18, 1977, p. 2031 and references therein.

[42] E. Lieb and K. Yamazaki, Phys. Rev., t. 111, 1958, p. 728. | Zbl 0100.42504

[43] F. Smithies, Integral Equations, Cambridge University Press, Cambridge, 1970. | MR 104991

[44] L.D. Faddeev, Soviet Physics JETP, t. 12, 1961, p. 1014. | MR 119854