The Time-Dependent Schrödinger Equation, Riccati Equation, and Airy Functions
The Time-Dependent Schrödinger Equation, Riccati Equation, and Airy Functions
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Basel: MDPI AG
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Language
English
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Basel: MDPI AG
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We construct the Green functions (or Feynman’s propagators) for the Schrödinger equations of the form iψt+14ψxx±tx2ψ=0 (for the wave function ψ and its time (t) and x-space derivatives) in terms of Airy functions and solve the Cauchy initial value problem in the coordinate and momentum representations. Particular solutions of the corresponding nonl...
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Full title
The Time-Dependent Schrödinger Equation, Riccati Equation, and Airy Functions
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TN_cdi_doaj_primary_oai_doaj_org_article_0ae22f6922374fa780171fb794925884
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_doaj_primary_oai_doaj_org_article_0ae22f6922374fa780171fb794925884
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ISSN
2624-8174
E-ISSN
2624-8174
DOI
10.3390/physics7020019
