Generalized approximate methods for transmission through a barrier governed by a differential equation of order 2n

DOI10.1017/S0305004100055791zbMath0417.34026WikidataQ115336119 ScholiaQ115336119MaRDI QIDQ3207339

John Heading

Publication date: 1979

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

quantum mechanicsclassical mechanicsapproximate methodsanalytical solutions of second- order differential equations

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) General theory for ordinary differential equations (34A99)

Cites Work

• Generalized Zilch and the Jordan canonical form
• GENERALIZED RECIPROCITY RELATIONS AND CONDITIONS RELATING TO SOLUTIONS OF n SECOND-ORDER PARTIAL DIFFERENTIAL EQUATIONS
• ENERGY FLUX INVARIANTS EXPRESSED IN TERMS OF COMPLEX AMPLITUDES APPEARING IN GENERAL SOLUTIONS OF nTH ORDER DIFFERENTIAL EQUATIONS
• 2.—Barriers bounded by Two Transition Points of Arbitrary Odd Order
• Connection Formulas for Second-Order Differential Equations with Multiple Turning Points
• Connection Formulas for Second-Order Differential Equations Having an Arbitrary Number of Turning Points of Arbitrary Multiplicities
• GLOBAL PHASE-INTEGRAL METHODS
• General theorems relating to wave propagation governed by self-adjoint and Hermitian self-adjoint differential operators of order 2r
• Calculation of Transmission Coefficients for Generalized Propagation Problems
• General connection formulae for Liouville-Green approximations in the complex plane
• Unnamed Item

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