@article{(Open Science Index):https://publications.waset.org/pdf/1846, title = {An Expansion Method for Schrödinger Equation of Quantum Billiards with Arbitrary Shapes}, author = {İnci M. Erhan}, country = {}, institution = {}, abstract = {A numerical method for solving the time-independent Schrödinger equation of a particle moving freely in a three-dimensional axisymmetric region is developed. The boundary of the region is defined by an arbitrary analytic function. The method uses a coordinate transformation and an expansion in eigenfunctions. The effectiveness is checked and confirmed by applying the method to a particular example, which is a prolate spheroid.}, journal = {International Journal of Physical and Mathematical Sciences}, volume = {1}, number = {5}, year = {2007}, pages = {255 - 258}, ee = {https://publications.waset.org/pdf/1846}, url = {https://publications.waset.org/vol/5}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 5, 2007}, }