WKB approximation (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "WKB approximation" in English language version.

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archive.org

Adrian E. Gill (1982). Atmosphere-ocean dynamics. Academic Press. p. 297. ISBN 978-0-12-283522-3. Liouville-Green WKBJ WKB.

arxiv.org

Winitzki, S. (2005). "Cosmological particle production and the precision of the WKB approximation". Phys. Rev. D. 72 (10): 104011, 14 pp. arXiv:gr-qc/0510001. Bibcode:2005PhRvD..72j4011W. doi:10.1103/PhysRevD.72.104011. S2CID 119152049.

books.google.com

Renato Spigler & Marco Vianello (1998). "A Survey on the Liouville–Green (WKB) approximation for linear difference equations of the second order". In Saber Elaydi; I. Győri & G. E. Ladas (eds.). Advances in difference equations: proceedings of the Second International Conference on Difference Equations : Veszprém, Hungary, August 7–11, 1995. CRC Press. p. 567. ISBN 978-90-5699-521-8.
Filippi, Paul (1999). Acoustics: basic physics, theory and methods. Academic Press. p. 171. ISBN 978-0-12-256190-0.
Bransden, B. H.; Joachain, Charles Jean (2003). Physics of Atoms and Molecules. Prentice Hall. pp. 140–141. ISBN 978-0-582-35692-4.

doi.org

Wentzel, Gregor (1926). "Eine Verallgemeinerung der Quantenbedingungen für die Zwecke der Wellenmechanik". Zeitschrift für Physik. 38 (6–7): 518–529. Bibcode:1926ZPhy...38..518W. doi:10.1007/BF01397171. S2CID 120096571.
Kramers, Hendrik A. (1926). "Wellenmechanik und halbzahlige Quantisierung". Zeitschrift für Physik. 39 (10–11): 828–840. Bibcode:1926ZPhy...39..828K. doi:10.1007/BF01451751. S2CID 122955156.
Jeffreys, Harold (1924). "On certain approximate solutions of linear differential equations of the second order". Proceedings of the London Mathematical Society. 23: 428–436. doi:10.1112/plms/s2-23.1.428.
Rayleigh, Lord (John William Strutt) (1912). "On the propagation of waves through a stratified medium, with special reference to the question of reflection". Proceedings of the Royal Society A. 86 (586): 207–226. Bibcode:1912RSPSA..86..207R. doi:10.1098/rspa.1912.0014.
Gans, Richard (1915). "Fortplantzung des Lichts durch ein inhomogenes Medium". Annalen der Physik. 47 (14): 709–736. Bibcode:1915AnP...352..709G. doi:10.1002/andp.19153521402.
Winitzki, S. (2005). "Cosmological particle production and the precision of the WKB approximation". Phys. Rev. D. 72 (10): 104011, 14 pp. arXiv:gr-qc/0510001. Bibcode:2005PhRvD..72j4011W. doi:10.1103/PhysRevD.72.104011. S2CID 119152049.
Ramkarthik, M. S.; Pereira, Elizabeth Louis (2021-06-01). "Airy Functions Demystified — II". Resonance. 26 (6): 757–789. doi:10.1007/s12045-021-1179-z. ISSN 0973-712X.
Weinberg, Steven (2015-09-10). Lectures on Quantum Mechanics (2nd ed.). Cambridge University Press. p. 204. doi:10.1017/cbo9781316276105. ISBN 978-1-107-11166-0.

dx.doi.org

Weinberg, Steven (2015-09-10). Lectures on Quantum Mechanics (2nd ed.). Cambridge University Press. p. 204. doi:10.1017/cbo9781316276105. ISBN 978-1-107-11166-0.

harvard.edu

ui.adsabs.harvard.edu

Wentzel, Gregor (1926). "Eine Verallgemeinerung der Quantenbedingungen für die Zwecke der Wellenmechanik". Zeitschrift für Physik. 38 (6–7): 518–529. Bibcode:1926ZPhy...38..518W. doi:10.1007/BF01397171. S2CID 120096571.
Kramers, Hendrik A. (1926). "Wellenmechanik und halbzahlige Quantisierung". Zeitschrift für Physik. 39 (10–11): 828–840. Bibcode:1926ZPhy...39..828K. doi:10.1007/BF01451751. S2CID 122955156.
Hall 2013 Section 15.1 Hall, Brian C. (2013), Quantum Theory for Mathematicians, Graduate Texts in Mathematics, vol. 267, Springer, Bibcode:2013qtm..book.....H, ISBN 978-1461471158
Rayleigh, Lord (John William Strutt) (1912). "On the propagation of waves through a stratified medium, with special reference to the question of reflection". Proceedings of the Royal Society A. 86 (586): 207–226. Bibcode:1912RSPSA..86..207R. doi:10.1098/rspa.1912.0014.
Gans, Richard (1915). "Fortplantzung des Lichts durch ein inhomogenes Medium". Annalen der Physik. 47 (14): 709–736. Bibcode:1915AnP...352..709G. doi:10.1002/andp.19153521402.
Winitzki, S. (2005). "Cosmological particle production and the precision of the WKB approximation". Phys. Rev. D. 72 (10): 104011, 14 pp. arXiv:gr-qc/0510001. Bibcode:2005PhRvD..72j4011W. doi:10.1103/PhysRevD.72.104011. S2CID 119152049.
Hall 2013 Section 15.4 Hall, Brian C. (2013), Quantum Theory for Mathematicians, Graduate Texts in Mathematics, vol. 267, Springer, Bibcode:2013qtm..book.....H, ISBN 978-1461471158
Hall 2013 Section 15.5 Hall, Brian C. (2013), Quantum Theory for Mathematicians, Graduate Texts in Mathematics, vol. 267, Springer, Bibcode:2013qtm..book.....H, ISBN 978-1461471158
Hall 2013 Section 15.2 Hall, Brian C. (2013), Quantum Theory for Mathematicians, Graduate Texts in Mathematics, vol. 267, Springer, Bibcode:2013qtm..book.....H, ISBN 978-1461471158
Hall 2013 Theorem 15.8 Hall, Brian C. (2013), Quantum Theory for Mathematicians, Graduate Texts in Mathematics, vol. 267, Springer, Bibcode:2013qtm..book.....H, ISBN 978-1461471158
Hall 2013 Conclusion 15.5 Hall, Brian C. (2013), Quantum Theory for Mathematicians, Graduate Texts in Mathematics, vol. 267, Springer, Bibcode:2013qtm..book.....H, ISBN 978-1461471158

mit.edu

ocw.mit.edu

Zwiebach, Barton. "Semiclassical approximation" (PDF).

semanticscholar.org

api.semanticscholar.org

Wentzel, Gregor (1926). "Eine Verallgemeinerung der Quantenbedingungen für die Zwecke der Wellenmechanik". Zeitschrift für Physik. 38 (6–7): 518–529. Bibcode:1926ZPhy...38..518W. doi:10.1007/BF01397171. S2CID 120096571.
Kramers, Hendrik A. (1926). "Wellenmechanik und halbzahlige Quantisierung". Zeitschrift für Physik. 39 (10–11): 828–840. Bibcode:1926ZPhy...39..828K. doi:10.1007/BF01451751. S2CID 122955156.
Winitzki, S. (2005). "Cosmological particle production and the precision of the WKB approximation". Phys. Rev. D. 72 (10): 104011, 14 pp. arXiv:gr-qc/0510001. Bibcode:2005PhRvD..72j4011W. doi:10.1103/PhysRevD.72.104011. S2CID 119152049.

worldcat.org

search.worldcat.org

Ramkarthik, M. S.; Pereira, Elizabeth Louis (2021-06-01). "Airy Functions Demystified — II". Resonance. 26 (6): 757–789. doi:10.1007/s12045-021-1179-z. ISSN 0973-712X.

zenodo.org

Gans, Richard (1915). "Fortplantzung des Lichts durch ein inhomogenes Medium". Annalen der Physik. 47 (14): 709–736. Bibcode:1915AnP...352..709G. doi:10.1002/andp.19153521402.