In this study, the energy spectra of Schrodinger equation for nonzero l values considering Woods Saxon potential (WSP) is calculated using proper quantization rule, then the binding energies (BE) of random light nuclei is obtained and the optimized potential parameters such as potential depth (V0) and surface thickness (a) are found. In order to calculate the energy levels of the nuclei with WSP, the PQR method was used, which has not been considered before. In quantum mechanics, the exact solution of energy systems, momentum, and quantum states can be found using the proper quantization rule(PQR) method.Using the Matlab calculation program, we have achieved numerical values of the energy spectrum for random light nuclei and compared the result with the experimental Nuclear Data Center (NDC) values. In addition, we found potential depth and surface thickness for four light nuclei. Correlations between the light nuclei show the facts about the nuclear structure characteristics, origin, and energies of these nuclei. Pearson’s correlation coefficient is accepted as the most common correlation coefficient. According to the values of Pearson correlation coefficients, it is observed that there is a significant positive correlation between the nucleons examined. Finally, we plot the EV0a diagrams for those values to optimize and provide the appropriate coefficients. It is shown that there is a good agreement between the results of this work and experimental values.
Schrodinger equation, woods saxon potential, proper quantization rule, binding energy
In this study, the energy spectra of Schrodinger equation for nonzero l values considering Woods Saxon potential (WSP) is calculated using proper quantization rule, then the binding energies (BE) of random light nuclei is obtained and the optimized potential parameters such as potential depth (V0) and surface thickness (a) are found. In order to calculate the energy levels of the nuclei with WSP, the PQR method was used, which has not been considered before. In quantum mechanics, the exact solution of energy systems, momentum, and quantum states can be found using the proper quantization rule(PQR) method.Using the Matlab calculation program, we have achieved numerical values of the energy spectrum for random light nuclei and compared the result with the experimental Nuclear Data Center (NDC) values. In addition, we found potential depth and surface thickness for four light nuclei. Correlations between the light nuclei show the facts about the nuclear structure characteristics, origin, and energies of these nuclei. Pearson’s correlation coefficient is accepted as the most common correlation coefficient. According to the values of Pearson correlation coefficients, it is observed that there is a significant positive correlation between the nucleons examined. Finally, we plot the EV0a diagrams for those values to optimize and provide the appropriate coefficients. It is shown that there is a good agreement between the results of this work and experimental values.
Schrodinger Equation, WoodsSaxon Potential, Proper Quantization Rule,, Binding Energy
Birincil Dil  İngilizce 

Konular  Mühendislik 
Bölüm  Araştırma Makalesi 
Yazarlar 

Yayımlanma Tarihi  1 Eylül 2021 
Gönderilme Tarihi  16 Temmuz 2020 
Yayınlandığı Sayı  Yıl 2021, Cilt 24, Sayı 3 
Bibtex  @araştırma makalesi { politeknik770330, journal = {Politeknik Dergisi}, eissn = {21479429}, address = {Gazi Üniversitesi Teknoloji Fakültesi 06500 Teknikokullar  ANKARA}, publisher = {Gazi Üniversitesi}, year = {2021}, volume = {24}, number = {3}, pages = {1287  1293}, doi = {10.2339/politeknik.770330}, title = {Determination of Energy Spectra By Using Proper Quantization Rule of WoodsSaxon Potential}, key = {cite}, author = {Rezaeizadeh, Rezvan and Zoghifoumani, Niloufar and Ghasemizad, Abbas and Hançerlioğulları, Aybaba} } 
APA  Rezaeizadeh, R. , Zoghifoumani, N. , Ghasemizad, A. & Hançerlioğulları, A. (2021). Determination of Energy Spectra By Using Proper Quantization Rule of WoodsSaxon Potential . Politeknik Dergisi , 24 (3) , 12871293 . DOI: 10.2339/politeknik.770330 
MLA  Rezaeizadeh, R. , Zoghifoumani, N. , Ghasemizad, A. , Hançerlioğulları, A. "Determination of Energy Spectra By Using Proper Quantization Rule of WoodsSaxon Potential" . Politeknik Dergisi 24 (2021 ): 12871293 <https://dergipark.org.tr/tr/pub/politeknik/issue/64892/770330> 
Chicago  Rezaeizadeh, R. , Zoghifoumani, N. , Ghasemizad, A. , Hançerlioğulları, A. "Determination of Energy Spectra By Using Proper Quantization Rule of WoodsSaxon Potential". Politeknik Dergisi 24 (2021 ): 12871293 
RIS  TY  JOUR T1  Determination of Energy Spectra By Using Proper Quantization Rule of WoodsSaxon Potential AU  RezvanRezaeizadeh, NiloufarZoghifoumani, AbbasGhasemizad, AybabaHançerlioğulları Y1  2021 PY  2021 N1  doi: 10.2339/politeknik.770330 DO  10.2339/politeknik.770330 T2  Politeknik Dergisi JF  Journal JO  JOR SP  1287 EP  1293 VL  24 IS  3 SN  21479429 M3  doi: 10.2339/politeknik.770330 UR  https://doi.org/10.2339/politeknik.770330 Y2  2020 ER  
EndNote  %0 Politeknik Dergisi Determination of Energy Spectra By Using Proper Quantization Rule of WoodsSaxon Potential %A Rezvan Rezaeizadeh , Niloufar Zoghifoumani , Abbas Ghasemizad , Aybaba Hançerlioğulları %T Determination of Energy Spectra By Using Proper Quantization Rule of WoodsSaxon Potential %D 2021 %J Politeknik Dergisi %P 21479429 %V 24 %N 3 %R doi: 10.2339/politeknik.770330 %U 10.2339/politeknik.770330 
ISNAD  Rezaeizadeh, Rezvan , Zoghifoumani, Niloufar , Ghasemizad, Abbas , Hançerlioğulları, Aybaba . "Determination of Energy Spectra By Using Proper Quantization Rule of WoodsSaxon Potential". Politeknik Dergisi 24 / 3 (Eylül 2021): 12871293 . https://doi.org/10.2339/politeknik.770330 
AMA  Rezaeizadeh R. , Zoghifoumani N. , Ghasemizad A. , Hançerlioğulları A. Determination of Energy Spectra By Using Proper Quantization Rule of WoodsSaxon Potential. Politeknik Dergisi. 2021; 24(3): 12871293. 
Vancouver  Rezaeizadeh R. , Zoghifoumani N. , Ghasemizad A. , Hançerlioğulları A. Determination of Energy Spectra By Using Proper Quantization Rule of WoodsSaxon Potential. Politeknik Dergisi. 2021; 24(3): 12871293. 
IEEE  R. Rezaeizadeh , N. Zoghifoumani , A. Ghasemizad ve A. Hançerlioğulları , "Determination of Energy Spectra By Using Proper Quantization Rule of WoodsSaxon Potential", Politeknik Dergisi, c. 24, sayı. 3, ss. 12871293, Eyl. 2021, doi:10.2339/politeknik.770330 
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