A class of exactly solvable models for the Schrödinger equation

• Autorzy: Charles Downing
• Języki publikacji: EN

Abstrakty

EN

We present a class of confining potentials which allow one to reduce the one-dimensional Schrödinger equation to a named equation of mathematical physics, namely either Bessel’s or Whittaker’s differential equation. In all cases, we provide closed form expressions for both the symmetric and antisymmetric wavefunction solutions, each along with an associated transcendental equation for allowed eigenvalues. The class of potentials considered contains an example of both cusp-like single wells and a double-well.

Słowa kluczowe

EN

solutions of wave equations: bound states; Schrodinger equation

• Czasopismo: Open Physics
• Rocznik: 2013
• Tom: 11
• Numer: 8
• Strony: 977-983

Daty

wydano

2013-08-01

online

2013-10-23

Twórcy

autor

Charles Downing

• School of Physics, University of Exeter, Stocker Road, Exeter, EX4 4QL, UK,

Bibliografia

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Identyfikatory

DOI

10.2478/s11534-013-0301-6