Abawi, A. T., Dashen, R. F., and Levine, H., 1997, J Math Phys38, 1623–1649
Abramowitz, M., and Stegun, I. A., Editors, 1965, Handbook of Mathematical Functions. Applied Mathematics Series 55. Fourth Printing 1965, with corrections, National Bureau of Standards, Washington DC
de Alfaro, V., and Regge, T., 1965, Potential Scattering. North-Holland, Amsterdam
Amaha, A., 1993, Molec Phys78, 345–356
Bateman Manuscript Project, 1953, Higher Transcendental Functions, Vols I and II, McGraw-Hill Book Company, New York
Bateman Manuscript Project, 1954, Tables of Integral Transforms, Vols I and II, McGraw-Hill Book Company, New York
Bateman Manuscript Project, 1955, Higher Transcendental Functions, Vol III, McGraw-Hill Book Company, New York
Berry, M. V., and Mount, K. E., 1972, Rep Prog Phys35, 315–397
Bertocchi, L., Fubini, S., and Furlan, G., 1965, Nuovo Cim35, 599–632
Birkhoff, G. D., 1908, Trans Am Math Soc9, 219–231
Birkhoff, G. D., 1933, Bull Am Math Soc39, 681–700
Blumenthal, O., 1912, Archiv Math Phys (Dritte Reihe)19, 136–174
Brillouin, L., 1926a, C R Acad Sci (Paris)183, 24–26
Brillouin, L., 1926b, J Phys Radium (Série VI)7, 353–368
Broer, L. J. F., 1963, Appl Sci ResB10, 110–118
Campbell, J. A., 1972, J Comp Phys10, 308–315
Campbell, J. A., 1979, J Phys A: Math Gen12, 1149–1154
Carlini, F., 1817, Ricerche sulla convergenza della serie che serve alla soluzione del problema di Keplero. Appendice all' Effemeridi Astronomiche di Milano per l'Anno 1818, pp. 3–48. (Review: Giornale di Fisica, Chimica, Storia Naturale Medicina ed Arti. X, 458–460, 1817)
Carlini, F., 1850, Astron Nachr30, 197–254. Translation into German and revision by Jacobi of the paper by Carlini (1817); also published in C. G. J. Jacobi's Gesammelte Werke, edited by K. Weierstrass, Band 7, pp 189–245, Berlin 1891
Cherry, T. M., 1950, Trans Am Math Soc68, 224–257
Child, M. S., 1974, Molecular Collision Theory. Academic Press, London. Reprinted with corrections 1984
Choi, S., and Ross, J., 1962, Proc Nat Acad Sci48, 803–806
Cole, M. W., and Good, Jr, R. H., 1978, Phys RevA18, 1085–1088
Connor, J. N. L., 1968, Mol Phys15, 37–46
Copson, E. T., 1965, Asymptotic Expansions. Cambridge University Press, Cambridge
Dagens, L., 1969, J Physique (Paris)30, 593–597
Dammert, Ö., and Fröman, P. O., 1980, J Math Phys21, 1683–1687
Debye, P., 1909, Math Ann67, 535–558
Delves, L. M., 1963, Nucl Phys41, 497–503
Dingle, R. B., 1965, Proc Phys Soc86, 1366–1368
Dingle, R. B., 1973, Asymptotic Expansions: Their Derivation and Interpretation. Academic Press, London
Erdélyi, A., 1956, Proc Int Congr Math 1954, III, 92–101
Erdélyi, A., 1960, J Math Phys1, 16–26
Flügge, S., 1974, Practical Quantum Mechanics, Vol. I. Springer-Verlag, New York
Ford, K. W., Hill, D. L., Wakano, M., and Wheeler, J. A., 1959, Ann Phys (NY)7, 239–258
Fowler, R. H., Gallop, E. G., Lock, C. N. H., and Richmond, W. H., 1921, Phil Trans Roy Soc LondonA221, 295–387
Fröman, N., 1966a, Ark Fys31, 381–408
Fröman, N., 1966b, Ark Fys31, 445–451
Fröman, N., 1966c, Ark Fys32, 79–97
Fröman, N., 1966d, Ark Fys32, 541–548
Fröman, N., 1970, Ann Phys (NY)61, 451–464
Fröman, N., 1974, Phys Lett48A, 137–139
Fröman, N., 1978a, Phys RevA17, 493–504
Fröman, N., 1978b, J Math Phys19, 1141–1146
Fröman, N., 1980, Semiclassical and Higher-Order Approximations: Properties. Solution of Connection Problems. Proceedings of the NATO Advanced Study Institute, Cambridge, England, in September 1979, on Semiclassical Methods in Molecular Scattering and Spectroscopy, pp. 1–44, edited by M. S. Child. NATO Advanced Study Institute Series C-Mathematical and Physical Sciences, Volume 53. Reidel, Dordrecht
Fröman, N., and Dammert, Ö., 1970, Nucl PhysA147, 627–649
Fröman, N., and Fröman, P. O., 1965, JWKB Approximation, Contributions to the Theory. North-Holland, Amsterdam. Russian translation: MIR, Moscow 1967
Fröman, N., and Fröman, P. O., 1970, Nucl PhysA147, 606–626
Fröman, N., and Fröman, P. O., 1972, Phys RevA6, 2064–2067
Fröman, N., and Fröman, P. O., 1974a, Ann Phys (NY)83, 103–107. (Review: Zentralblatt für Mathematik und ihre Grenzgebiete, Mathematics Abstracts 279, 190–191, 1974.)
Fröman, N., and Fröman, P. O., 1974b, Nuovo Cim20B, 121–132
Fröman, N., and Fröman, P. O., 1977, J Math Phys18, 903–906
Fröman, N., and Fröman, P. O., 1978, J Math Phys19, 1823–1829
Fröman, N., and Fröman, P. O., 1981, J Physique (Paris)42, 1491–1504
Fröman, N., and Fröman, P. O., 1984, Phase-Integral Calculation with Very High Accuracy of the Stark Effect in a Hydrogen Atom. Colloque du 10 à 15 septembre 1984, CIRM (Luminy), sur Méthodes Semi-Classiques en Mécanique Quantique, p. 45, edited by D. Helffin and D. Robert. Publications de l'Université de Nantes, Institut de Mathématiques et d'Informatiques, 2 rue de la Houssinière, 44072 Nantes CEDEX, France
Fröman, N., and Fröman, P. O., 1985a, On the History of the So-called WKB-Method from 1817 to 1926. Proceedings of the Niels Bohr Centennial Conference, Copenhagen 25–28 March 1985 on Semiclassical Descriptions of Atomic and Nuclear Collisions, pp 1–7, edited by J. Bang and J. de Boer. North-Holland, Amsterdam
Fröman, N., and Fröman, P. O., 1985b, Ann Phys (NY)163, 215–226
Fröman, N., and Fröman, P. O., 1989, Int J Quant Chem35, 751–760
Fröman, N., and Fröman, P. O., 1996, Phase-Integral Method Allowing Nearlying Transition Points, With adjoined papers by A. Dzieciol, N. Fröman, P. O. Fröman, A. Hökback, S. Linnæus, B. Lundborg, and E. Walles. Springer Tracts in Natural Philosophy Vol 40, edited by C. Truesdell. Springer-Verlag, New York
Fröman, N., and Fröman, P. O., 1998, J Math Phys39, 4417–4429
Fröman, N., and Myhrman, U., 1970, Ark Fys40, 497–508
Fröman, N., Fröman, P. O., and Karlsson, F., 1979, Molec Phys38, 749–767
Fröman, N., Fröman, P. O., and Larsson, K., 1994, Phil Trans R Soc LondA347, 1–22
Fröman, N., Fröman, P. O., and Lundborg, B., 1988a, Math Proc Camb Phil Soc104, 153–179
Fröman, N., Fröman, P. O., and Lundborg, B., 1988b, Math Proc Camb Phil Soc104, 181–191
Fröman, N., Fröman, P. O., and Lundborg, B., 1996, adjoined paper (Chapter 5) in Fröman and Fröman (1996)
Fröman, N., Fröman, P. O., Andersson, N., and Hökback, A., 1992, Phys RevD45, 2609–2616
Fröman, N., Fröman, P. O., Myhrman, U., and Paulsson, R., 1972, Ann Phys (NY)74, 314–323
Fröman, P. O., 1957, Mat Fys Skr Dan Vid Selsk1, No. 3
Fröman, P. O., 1974, Ann Phys (NY)88, 621–630
Fröman, P. O., 2000, J Math Phys41, 7952–7963
Fröman, P. O., Karlsson, F., and Yngve, S., 1986, J Math Phys27, 2738–2747
Fröman, P. O., Yngve, S., and Fröman, N., 1987, J Math Phys28, 1813–1826
Fröman, P. O., Hökback, A., Walles, E., and Yngve, S., 1985, Ann Phys (NY)163, 252–264
Fulling, S. A., 1983, SIAM J Math Anal14, 780–795
Furry, W. H., 1947, Phys Rev71, 360–371
Gans, R., 1915, Ann Physik (Vierte Folge)47, 709–736
Glaser, W., and Braun, G., 1954, Act Phys Austriaca9, 41–74
Glaser, W., and Braun, G., 1955, Act Phys Austriaca9, 267–296
Green, G., 1837, Trans Camb Phil Soc6, 457–462
Gustafson, S.-å., and Lindahl, S., 1977, J Comp Phys24, 81–95
ter Haar, D., Editor, 1964, Selected Problems in Quantum Mechanics. Revised and augmented second edition of Gol'dman, Krivchenkov, Kogan and Galitskii, Problems in Quantum Mechanics. Academic Press, New York
Heading, J., 1962, An Introduction to Phase-Integral Methods. Methuen's Monographs on Physical Subjects, London and New York. Russian translation with an appendix by V. P. Maslov concerning the WKB method in the multi-dimensional case: MIR, Moscow 1965
Horn, J., 1899a, Math Ann52, 271–292
Horn, J., 1899b, Math Ann52, 340–362
Jacobi, C. G. J., 1849, Astron Nachr28, 257–270; also published in C. G. J. Jacobi's Gesammelte Werke, edited by K. Weierstrass, Band 7, pp 175–188, Berlin 1891
Jeffreys, H., 1915, Mem Roy Astr Soc60 (Part VI), 187–217
Jeffreys, H., 1925, Proc Lond Math Soc (Second Series)23, 428–436
Jeffreys, H., 1956, Proc Camb Phil Soc52, 61–66
Karlsson, F., and Jedrzejek, C., 1987, J Chem Phys86, 3532–3538
Kemble, E. C., 1935, Phys Rev48, 549–561
Kemble, E. C., 1937, The Fundamental Principles of Quantum Mechanics. McGraw-Hill, New York. Reissue: Dover Publications, New York 1958
Kramers, H. A., 1926, Z Phys39, 828–840
Kraus, L., and Levine, L. M., 1961, Comm Pure Appl Math14, 49–68
Krieger, J. B., 1969, J Math Phys10, 1455–1458
Krieger, J. B., and Rosenzweig, C., 1967, Phys Rev164, 171–173
Lamb, H., 1895, Hydrodynamics. Cambridge University Press, Cambridge
Langer, R. E., 1934, Bull Am Math Soc40, 545–582
Larsson, K., and Fröman, P. O., 1994, Phil Trans R Soc LondA347, 23–35
Linnæus, S., and Düring, M., 1985, Ann Phys (NY)164, 506–515
Liouville, J., 1837, J Math Pure Appl2, 16–35
Luke, Y. L., 1969, The Special Functions and Their Approximations, Vol. I. Academic Press, New York
Lundborg, B., 1977, Math Proc Camb Phil Soc81, 463–483
Maslov, V. P., and Fedoriuk, M. V., 1981, Semi-Classical Approximation in Quantum Mechanics. Reidel Publishing Company, Dordrecht
McHugh, J. A. M., 1971, Arch History Exact Sci7, 277–324
Messiah, A., 1959, Mécanique Quantique, Vol. 1. Dunod, Paris. English translation: Quantum Mechanics, Vol. 1. North-Holland, Amsterdam. Fourth printing 1967
Olver, F. W. J., 1965a, J Res Nat Bur Standards69B, 271–290
Olver, F. W. J., 1965b, J Res Nat Bur Standards69B, 291–300
Paulsson, R., 1985, Ann Phys (NY)163, 245–251
Paulsson, R., and Fröman, N., 1985, Ann Phys (NY)163, 227–244
Rayleigh, Lord, (J. W. Strutt), 1912, Proc R Soc LondonA86, 207–226
Rosenzweig, C., and Krieger, J. B., 1968, J Math Phys9, 849–860
Scheibner, W., 1856a, Astron J4, 177–182
Scheibner, W., 1856b, Berichte der Kgl Sächs Ges d Wiss zu Leipzig, Math-Phys Classe8, 40–64
Scheibner, W., 1880a, Math Ann17, 531–544
Scheibner, W., 1880b, Math Ann17, 545–560
Schlesinger, L., 1906, C R Acad Sci (Paris)142, 1031–1033
Schlesinger, L., 1907, Math Ann63, 277–300
Schlissel, A., 1977, Arch History Exact Sci16, 307–378
Siebert, E., and Krieger, J. B., 1970, J Math Phys11, 3111–3115
Silverstone, H. J., 1985, Phys Rev Lett55, 2523–2526
Silverstone, H. J., and Koch, P. M., 1979, J Phys B: Atom Molec Phys12, L537–L541
Skorupski, A. A., 1980, Rep Math Phys17, 161–187
Skorupski, A. A., 1988, J Math Phys29, 1814–1823
Soop, M., 1965, Ark Fys30, 217–229
de Sparre, M., 1898, Atti della R Acc dei Lincei (Ser V). Rendiconti. Classe di sc fis, mat e nat 7:2, 111–117
Streszewski, M., and Jedrzejek, C., 1988, Phys RevA37, 645–648
Thidé, B., 1980, J Math Phys21, 1408–1415
Wentzel, G., 1926, Z Phys38, 518–529
Wheeler, J. A., 1976, Studies in Mathematical Physics: Essays in Honor of Valentine Bargmann, pp 351–422, edited by E. H. Lieb, B. Simon and A. S. Wightman. Princeton University Press, Princeton
Yngve, S., 1972, J Math Phys13, 324–331
Yngve, S., 1986, Phys RevA33, 96–104
Yngve, S., 1988, J Math Phys29, 931–936
Yngve, S., and Linnæus, S., 1986, J Phys A: Math Gen19, 3017–3031
Zwaan, A., 1929, Intensitäten im Ca-Funkenspektrum. Academisch Proefschrift. Joh. Enschedé en Zonen, Harlem. This doctoral dissertation was also published in: Arch Néerlandaises Sci Exactes Naturelles (Série IIIA)12, 1–76
