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Analytic energies and wave functions of the two-dimensional Schrodinger equation: ground state of two-dimensional quartic potential and classification of solutions

Tichý V., Kuběna Aleš Antonín, Skála L.

: Canadian Journal of Physics vol.90, 6 (2012), p. 503-513

: Schroninger equation, partial differential equation, analytic solution, anharmonic oscilator, double-well

: 10.1139/p2012-046

: http://library.utia.cas.cz/separaty/2012/E/kubena-analytic energies and wave functions of the two-dimensional schrodinger equation.pdf

(eng): New analytic solutions of the two-dimensional Schodinger equation with a two-dimensional fourth-order polynomial (i.e. quartic) potential are derived and discussed. The solutions represent the ground state energies and the corresponding wave functions. In general, the obtained results cannot be reduced to two one-dimensional cases.

: BE

2019-01-07 08:39
Institute of Information Theory and Automation