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WKB approximation
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==References== {{Reflist|refs= <ref name=Carlini-1817>{{cite book | author=Carlini, Francesco | year=1817 | title=Ricerche sulla convergenza della serie che serva alla soluzione del problema di Keplero | publisher=Milano | author-link=Francesco Carlini }}</ref> <ref name=Liouville>{{cite journal | author=Liouville, Joseph | year=1837 | title=Sur le développement des fonctions et séries..| journal=Journal de Mathématiques Pures et Appliquées | volume=1 | pages=16–35 | author-link=Joseph Liouville }}</ref> <ref name=Green-1837>{{cite journal | author=Green, George | year=1837 | title=On the motion of waves in a variable canal of small depth and width | journal=Transactions of the Cambridge Philosophical Society | volume=6 | pages=457–462 | author-link=George Green (mathematician) }}</ref> <ref name=Rayleigh-1912>{{cite journal | author=Rayleigh, Lord (John William Strutt) | year=1912 | title=On the propagation of waves through a stratified medium, with special reference to the question of reflection | journal=[[Proceedings of the Royal Society A]] | volume=86 | pages=207–226 | doi=10.1098/rspa.1912.0014 |bibcode = 1912RSPSA..86..207R | issue=586 | author-link=Lord Rayleigh | doi-access=free }}</ref> <ref name=Gans-1915>{{cite journal | author=Gans, Richard | year=1915 | title=Fortplantzung des Lichts durch ein inhomogenes Medium | journal=Annalen der Physik | volume=47 | issue=14 | pages=709–736 | doi = 10.1002/andp.19153521402 |bibcode = 1915AnP...352..709G | url=https://zenodo.org/record/1447303 | author-link=Richard Gans }}</ref> <ref name=Jefferys-1924>{{cite journal | author=Jeffreys, Harold | year=1924 | title=On certain approximate solutions of linear differential equations of the second order | journal=Proceedings of the London Mathematical Society | volume=23 | pages=428–436 | doi=10.1112/plms/s2-23.1.428 | author-link=Harold Jeffreys }}</ref> <ref name=Brillouin-1926>{{cite journal | author=Brillouin, Léon | year=1926 | title=La mécanique ondulatoire de Schrödinger: une méthode générale de resolution par approximations successives | journal=Comptes Rendus de l'Académie des Sciences | volume=183 | pages=24–26 | author-link=Léon Brillouin }}</ref> <ref name=Kramers-1926>{{cite journal | author=Kramers, Hendrik A. | year=1926 | title=Wellenmechanik und halbzahlige Quantisierung | journal=Zeitschrift für Physik | volume=39 |pages=828–840 | doi=10.1007/BF01451751 |bibcode = 1926ZPhy...39..828K | issue=10–11 | s2cid=122955156 | author-link=Hendrik Anthony Kramers }}</ref> <ref name=Wentzel-1926>{{cite journal | author=Wentzel, Gregor | year=1926 | title=Eine Verallgemeinerung der Quantenbedingungen für die Zwecke der Wellenmechanik | journal=Zeitschrift für Physik | volume=38 | pages=518–529 | doi=10.1007/BF01397171 |bibcode = 1926ZPhy...38..518W | issue=6–7 | s2cid=120096571 | author-link=Gregor Wentzel }}</ref> }} ===Further reading=== *{{cite book | author=Child, M. S. | title=Semiclassical mechanics with molecular applications | year=1991 | publisher = Clarendon Press | location=Oxford | isbn=0-19-855654-3}} * {{cite book| last1=Fröman|first1=N. |last2= Fröman |first2= P.-O.| title=JWKB Approximation: Contributions to the Theory | publisher=North-Holland |location = Amsterdam | year=1965}} *{{cite book | author=Griffiths, David J. | title=Introduction to Quantum Mechanics | edition = 2nd | publisher=Prentice Hall |year=2004 |isbn=0-13-111892-7}} *{{citation|first=Brian C.|last=Hall | title=Quantum Theory for Mathematicians | series=Graduate Texts in Mathematics| volume=267 | publisher=Springer|year=2013|bibcode=2013qtm..book.....H | isbn=978-1461471158}} *{{cite book | author=Liboff, Richard L. | title=Introductory Quantum Mechanics | edition = 4th | publisher=Addison-Wesley | year=2003 |isbn=0-8053-8714-5| author-link=Liboff, Richard L }} *{{cite book | author=Olver, Frank William John |author-link=Frank William John Olver | title=Asymptotics and Special Functions | url=https://archive.org/details/asymptoticsspeci0000olve | url-access=registration | publisher=Academic Press | year=1974 | isbn=0-12-525850-X}} *{{cite book | author=Razavy, Mohsen | title=Quantum Theory of Tunneling | url=https://archive.org/details/quantumtheoryoft0000raza | url-access=registration | publisher=World Scientific | year=2003 | isbn=981-238-019-1}}
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