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The quartic oscillator (1997)

Lay, Wolfgang

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 38 (1997), S. 639-647

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: The quantum quartic oscillator is treated on the basis of a singularity-analytic approach to the central two-point connection problem of the triconfluent case of Heun's differential equation. We split off the asymptotic factors by means of a specific linear transformation of the independent variable and represent the solution in terms of a Jaffé expansion. The result is a fourth-order linear difference equation of Poincaré–Perron type the asymptotic behavior of which is significant for the connection problem. This is investigated by means of the Birkhoff-set of the difference equation and leads to the exact eigenvalue-condition of the problem. © 1997 American Institute of Physics.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.531857

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