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Collect. Czech. Chem. Commun. 1998, 63, 1161-1176
https://doi.org/10.1135/cccc19981161

Analytical Solutions of the Schrödinger Equation. Ground State Energies and Wave Functions

Jan Dvořák and Lubomír Skála

Faculty of Mathematics and Physics, Charles University, 121 16 Prague 2, Czech Republic

Crossref Cited-by Linking

  • Tichý Vladimír, Skála Lubomír, Hudec René: Algebraic approach to non-separable two-dimensional Schrödinger equation: Ground states for polynomial and Morse-like potentials. Open Physics 2014, 12. <https://doi.org/10.2478/s11534-014-0484-5>
  • Tichý Vladimír, Kuběna Aleš Antonín, Skála Lubomír: Analytic energies and wave functions of the two-dimensional Schrödinger equation: ground state of two-dimensional quartic potential and classification of solutions. Can. J. Phys. 2012, 90, 503. <https://doi.org/10.1139/p2012-046>
  • Tichý Vladimír, Skála Lubomír: Analytic wave functions and energies for two-dimensional $$ \mathcal{P}\mathcal{T} $$-symmetric quartic potentials. Open Physics 2010, 8. <https://doi.org/10.2478/s11534-009-0127-4>
  • Tichý Vladimír, Skála Lubomír: Analytic Energies and Wave Functions of Two-Dimensional Schrödinger Equation: Two-Dimensional Fourth-Order Polynomial Potential. Collect. Czech. Chem. Commun. 2008, 73, 1327. <https://doi.org/10.1135/cccc20081327>
  • Mehrany Khashayar, Khorasani Sina: Analytical solution of non-homogeneous anisotropic wave equations based on differential transfer matrices. J. Opt. A: Pure Appl. Opt. 2002, 4, 624. <https://doi.org/10.1088/1464-4258/4/6/306>
  • Van Hooydonk Guido: A Universal Two-Parameter Kratzer-Potential and Its Superiority over Morse's for Calculating and Scaling First-Order Spectroscopic Constants of 300 Diatomic Bonds. Eur J Inorg Chem 1999, 1999, 1617. <https://doi.org/10.1002/(SICI)1099-0682(199910)1999:10<1617::AID-EJIC1617>3.0.CO;2-1>
  • Van Hooydonk Guido: A Universal Two-Parameter Kratzer-Potential and Its Superiority over Morse's for Calculating and Scaling First-Order Spectroscopic Constants of 300 Diatomic Bonds. Eur. J. Inorg. Chem. 1999, 1999, 1617. <https://doi.org/10.1002/(SICI)1099-0682(199910)1999:10<1617::AID-EJIC1617>3.0.CO;2-1>