@article{AIHPA_1982__37_1_1_0, author = {Albeverio, Sergio and Gesztesy, F. and H\o egh-Krohn, Raphael}, title = {The low energy expansion in nonrelativistic scattering theory}, journal = {Annales de l'I.H.P. Physique th\'eorique}, volume = {37}, year = {1982}, pages = {1-28}, mrnumber = {667880}, zbl = {0528.35076}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPA_1982__37_1_1_0} }
Albeverio, S.; Gesztesy, F.; Høegh-Krohn, R. The low energy expansion in nonrelativistic scattering theory. Annales de l'I.H.P. Physique théorique, Tome 37 (1982) pp. 1-28. http://gdmltest.u-ga.fr/item/AIHPA_1982__37_1_1_0/
[1] 18, 1977, p. 907. | Zbl 0368.60091
, , , J. Math. Phys., t.[2] 21, 1980, p. 1636. | MR 575597 | Zbl 0455.60088
, , , J. Math. Phys., t.[3] 252, 1979, p. 275. | MR 534122 | Zbl 0424.35014
, , , Trans. Am. Math. Soc., t.[4] 6, 1981, p. 313. | MR 643694 | Zbl 0501.35023
, , J. Operator Theory, t.[5] 83A, 1981, p. 105.
, , , Phys. Lett., t.[6] Perturbation of resonances in quantum mechanics, to appear in J. Math. An. Appl. | Zbl 0564.35026
, ,[7] Scattering Theory in Quantum Mechanics. Reading: Benjamin, 1977. | MR 495999 | Zbl 0376.47001
, , ,[8] 4, 1980, p. 495. | MR 599712 | Zbl 0485.47033
, Lett. Math. Phys., t.[9] Exact Formulas for Coherent Nuclear Bragg Scattering (preprint), 1980.
, , ,[10] 2, 1961, p. 372. | MR 1092523 | Zbl 0117.06601
, , Sov. Math., t.[11] 15, 1969, p. 337. | MR 258393 | Zbl 0188.19802
, , Commun. Math. Phys., t.[12] Shrinking potentials in the Schrödinger equation. Ph. D. Dissertation, Princeton University, 1978.
,[13] | MR 228238
, Cargèse lectures in theoretical physics, p. 247, New York, Gordon and Breach, 1967.[14] 10, 1972, p. 346. | Zbl 0235.35009
, J. Funct. Anal., t.[15] Two-body scattering for Schrödinger operators involving zero-range interactions. To appear in Rep. Math. Phys. | MR 740351 | Zbl 0557.47006
, ,[16] 21, 1980, p. 2376. | MR 585589
, , , J. Math. Phys., t.[17] 77, 1980, p. 87. | MR 588688
, , , Commun. Math. Phys., t.[18] 2, 1961, p. 710. | Zbl 0101.22301
, , J. Math. Phys., t.[19] 3, 1962, p. 684. | Zbl 0106.20306
, , J. Math. Phys., t.[20] 65, 1979, p. 181. | MR 528190 | Zbl 0404.47007
, Commun. Math. Phys., t.[21] 46, 1979, p. 583. | MR 544248 | Zbl 0448.35080
, , Duke Math. J., t.[22] Perturbation theory for linear operators. New York, Springer, 1966. | MR 203473 | Zbl 0148.12601
,[23] On the spectrum of Schrödinger operators with a random potential, to appear in Comm. Math. Phys. | MR 678150 | Zbl 0506.60058
, ,[24] 130, 1980, p. 251. | MR 610664 | Zbl 0455.35112
, , Ann. Phys., t.[25] 78, 1980, p. 153. | MR 597746 | Zbl 0462.35082
, , Commun. Math. Phys., t.[26] An introduction to scattering theory. Dept. Mathematics, Aarhus University. Lecture Notes, series No. 51, 1978. | MR 528757 | Zbl 0407.47003
,[27] 3, 1962, p. 690. | Zbl 0127.43802
, J. Math. Phys., t.[28] Scattering theory of waves and particles. New York, McGraw-Hill, 1966. | MR 221823
,[29] 18, 1977, p. 1348. | MR 446180
, J. Math. Phys., t.[30] 18, 1977, p. 1582.
, J. Math. Phys., t.[31] 35, 1980, p. 304. | MR 563558 | Zbl 0432.35013
, J. Funct. Anal., t.[32] Methods of modern mathematical physics. II. Fourier analysis, self-adjointness. New York, Academic Press, 1975. | MR 493420 | Zbl 0308.47002
, ,[33] Methods of modern mathematical physics. III. Scattering Theory. New York, Academic Press, 1979. | MR 529429 | Zbl 0405.47007
, ,[34] Methods of modern mathematical physics. IV. Analysis of operators. New York, Academic Press, 1978. | MR 493421 | Zbl 0401.47001
, ,[35] Quantum mechanics for Hamiltonians defined as quadratic forms. Princeton, University press, 1971. | MR 455975 | Zbl 0232.47053
,[36] 25, 1977, p. 338. | Zbl 0363.47014
, J. Funct. Anal., t.[37] 14, 1978, p. 529.
, Int. J. Quantum. Chem., t.[38] Convergence in Trace Ideals. To appear in Proc. Am. Math. Soc. | MR 619977 | Zbl 0473.47031
,[39] Perturbations of partial differential operators by means of boundary conditions. Ph. D. Dissertation, University of Illinois, Urbana, 1978.
,[40] Lehrbuch der Mathematischen Physik. III. Quantenmechanik von Atomen und Molekülen. Wien, Springer, 1979. | MR 537034 | Zbl 0408.46054
,[41] 20, 1979, p. 1848. | MR 546239 | Zbl 0423.35068
, J. Math. Phys., t.[42] 15 B, 1978, p. 386. | MR 518482 | Zbl 0395.35081
, Boll. U. M. I., t.[43] 21, 1980, p. 840. | MR 565731 | Zbl 0466.47007
, J. Math. Phys., t.