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## The Laguerre pseudospectral method for the two-dimensional Schrödinger equation with symmetric nonseparable potentials

#### Haydar ALICI [1]

The Hermite pseudospectral method is one of the natural techniques for the numerical treatment of the problems defined over unbounded domains such as two-dimensional time-independent Schrödinger equation on the whole real plane. However, it is shown here that for the symmetric potentials, transformation of the problem over the first quadrant and the application of the Laguerre pseudospectral method reduce the cost by a factor of four when compared to the Hermite pseudospectral method.

The Laguerre pseudospectral method, two dimensional Schrödinger equation, symmetric potentials
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Birincil Dil en Matematik Matematik Orcid: 0000-0003-3835-8043Yazar: Haydar ALICI (Sorumlu Yazar)Kurum: HARRAN UNIVERSITYÜlke: Turkey Yayımlanma Tarihi : 2 Nisan 2020
 Bibtex @araştırma makalesi { hujms459593, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe Üniversitesi}, year = {2020}, volume = {49}, pages = {539 - 552}, doi = {10.15672/hujms.459593}, title = {The Laguerre pseudospectral method for the two-dimensional Schrödinger equation with symmetric nonseparable potentials}, key = {cite}, author = {ALICI, Haydar} } APA ALICI, H . (2020). The Laguerre pseudospectral method for the two-dimensional Schrödinger equation with symmetric nonseparable potentials. Hacettepe Journal of Mathematics and Statistics , 49 (2) , 539-552 . DOI: 10.15672/hujms.459593 MLA ALICI, H . "The Laguerre pseudospectral method for the two-dimensional Schrödinger equation with symmetric nonseparable potentials". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 539-552 Chicago ALICI, H . "The Laguerre pseudospectral method for the two-dimensional Schrödinger equation with symmetric nonseparable potentials". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 539-552 RIS TY - JOUR T1 - The Laguerre pseudospectral method for the two-dimensional Schrödinger equation with symmetric nonseparable potentials AU - Haydar ALICI Y1 - 2020 PY - 2020 N1 - doi: 10.15672/hujms.459593 DO - 10.15672/hujms.459593 T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 539 EP - 552 VL - 49 IS - 2 SN - 2651-477X-2651-477X M3 - doi: 10.15672/hujms.459593 UR - https://doi.org/10.15672/hujms.459593 Y2 - 2019 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics The Laguerre pseudospectral method for the two-dimensional Schrödinger equation with symmetric nonseparable potentials %A Haydar ALICI %T The Laguerre pseudospectral method for the two-dimensional Schrödinger equation with symmetric nonseparable potentials %D 2020 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 49 %N 2 %R doi: 10.15672/hujms.459593 %U 10.15672/hujms.459593 ISNAD ALICI, Haydar . "The Laguerre pseudospectral method for the two-dimensional Schrödinger equation with symmetric nonseparable potentials". Hacettepe Journal of Mathematics and Statistics 49 / 2 (Nisan 2020): 539-552 . https://doi.org/10.15672/hujms.459593 AMA ALICI H . The Laguerre pseudospectral method for the two-dimensional Schrödinger equation with symmetric nonseparable potentials. Hacettepe Journal of Mathematics and Statistics. 2020; 49(2): 539-552. Vancouver ALICI H . The Laguerre pseudospectral method for the two-dimensional Schrödinger equation with symmetric nonseparable potentials. Hacettepe Journal of Mathematics and Statistics. 2020; 49(2): 552-539.

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