{"title":"三维-NRNCPS对称中IMK-GIQYP和IMSK-IQYP模型的新边界解和统计特性","authors":"Abdelmadjid Maireche","doi":"10.1142/s0217732324500299","DOIUrl":null,"url":null,"abstract":"<p>Within the framework of three-dimensional non-relativistic noncommutative quantum phase-space (3D-NRNCPS) symmetries, we study the three-dimensional deformed Schrödinger equation (3D-DSE) using the improved modified Kratzer plus generalized inverse quadratic Yukawa potential (IMK-GIQYP) and the improved modified screened Kratzer plus inversely quadratic Yukawa potential (IMSK-IQYP) models. For this consideration, the well-known generalized Bopp’s shifts method and standard perturbation theory are used to solve the DSE in the 3D-NRNCPS regime. For the homogeneous (H<sub>2</sub>, N<sub>2</sub> and I<sub>2</sub>) and heterogeneous (CO, CH and NO) diatomic molecules, the new non-relativistic energy equation and eigenfunction for the IMK-GIQYP and the IMSK-IQYP models in the presence of deformation phase-space are obtained to be sensitive to the atomic quantum numbers (<span><math altimg=\"eq-00001.gif\" display=\"inline\" overflow=\"scroll\"><mi>j</mi><mo>,</mo><mi>l</mi><mo>,</mo><mi>s</mi></math></span><span></span> and <i>m</i>), the mixed potential depths (<span><math altimg=\"eq-00002.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>D</mi></mrow><mrow><mi>e</mi></mrow></msub><mo>,</mo><msub><mrow><mi>r</mi></mrow><mrow><mi>e</mi></mrow></msub></math></span><span></span> and <i>V</i>) and (<span><math altimg=\"eq-00003.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>D</mi></mrow><mrow><mi>e</mi></mrow></msub><mo>,</mo><msub><mrow><mi>r</mi></mrow><mrow><mi>e</mi></mrow></msub><mo>,</mo><mi>q</mi></math></span><span></span> and <span><math altimg=\"eq-00004.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>V</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span><span></span>), the screening parameters (<span><math altimg=\"eq-00005.gif\" display=\"inline\" overflow=\"scroll\"><mi>δ</mi></math></span><span></span> and <span><math altimg=\"eq-00006.gif\" display=\"inline\" overflow=\"scroll\"><mi>φ</mi></math></span><span></span>), and non-commutativity parameters (<span><math altimg=\"eq-00007.gif\" display=\"inline\" overflow=\"scroll\"><mi mathvariant=\"normal\">Θ</mi><mo stretchy=\"false\">/</mo><mover accent=\"true\"><mrow><mi mathvariant=\"normal\">Φ</mi></mrow><mo accent=\"true\">¯</mo></mover><mo>,</mo><mi>χ</mi><mo stretchy=\"false\">/</mo><mover accent=\"true\"><mrow><mi>χ</mi></mrow><mo accent=\"true\">¯</mo></mover></math></span><span></span> and <span><math altimg=\"eq-00008.gif\" display=\"inline\" overflow=\"scroll\"><mi>ζ</mi><mo stretchy=\"false\">/</mo><mover accent=\"true\"><mrow><mi>ζ</mi></mrow><mo accent=\"true\">¯</mo></mover></math></span><span></span>) for the IMK-GIQYP and the IMSK-IQYP, respectively. We investigate the newly obtained bound state eigenvalues of the DSE in 3D-NRNCPS symmetries using the IMK-GIQYP and the IMSK-IQYP, with appropriate adjustments made to the improved modified Kratzer potential, improved modified screened Kratzer potential, improved generalized inverse quadratic Yukawa potential model and improved inversely quadratic Yukawa potential model. Additionally, in 3D-NRNCPS symmetries, the thermal properties of the IMK-GIQYP and the IMSK-IQYP, including their partition function, mean energy, free energy, specific heat and entropy, are thoroughly examined. Significant areas, including atomic and molecular physics, find many uses for this study.</p>","PeriodicalId":18752,"journal":{"name":"Modern Physics Letters A","volume":null,"pages":null},"PeriodicalIF":1.5000,"publicationDate":"2024-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"New bound-state solutions and statistical properties of the IMK-GIQYP and IMSK-IQYP models in 3D-NRNCPS symmetries\",\"authors\":\"Abdelmadjid Maireche\",\"doi\":\"10.1142/s0217732324500299\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Within the framework of three-dimensional non-relativistic noncommutative quantum phase-space (3D-NRNCPS) symmetries, we study the three-dimensional deformed Schrödinger equation (3D-DSE) using the improved modified Kratzer plus generalized inverse quadratic Yukawa potential (IMK-GIQYP) and the improved modified screened Kratzer plus inversely quadratic Yukawa potential (IMSK-IQYP) models. For this consideration, the well-known generalized Bopp’s shifts method and standard perturbation theory are used to solve the DSE in the 3D-NRNCPS regime. For the homogeneous (H<sub>2</sub>, N<sub>2</sub> and I<sub>2</sub>) and heterogeneous (CO, CH and NO) diatomic molecules, the new non-relativistic energy equation and eigenfunction for the IMK-GIQYP and the IMSK-IQYP models in the presence of deformation phase-space are obtained to be sensitive to the atomic quantum numbers (<span><math altimg=\\\"eq-00001.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><mi>j</mi><mo>,</mo><mi>l</mi><mo>,</mo><mi>s</mi></math></span><span></span> and <i>m</i>), the mixed potential depths (<span><math altimg=\\\"eq-00002.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><msub><mrow><mi>D</mi></mrow><mrow><mi>e</mi></mrow></msub><mo>,</mo><msub><mrow><mi>r</mi></mrow><mrow><mi>e</mi></mrow></msub></math></span><span></span> and <i>V</i>) and (<span><math altimg=\\\"eq-00003.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><msub><mrow><mi>D</mi></mrow><mrow><mi>e</mi></mrow></msub><mo>,</mo><msub><mrow><mi>r</mi></mrow><mrow><mi>e</mi></mrow></msub><mo>,</mo><mi>q</mi></math></span><span></span> and <span><math altimg=\\\"eq-00004.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><msub><mrow><mi>V</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span><span></span>), the screening parameters (<span><math altimg=\\\"eq-00005.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><mi>δ</mi></math></span><span></span> and <span><math altimg=\\\"eq-00006.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><mi>φ</mi></math></span><span></span>), and non-commutativity parameters (<span><math altimg=\\\"eq-00007.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><mi mathvariant=\\\"normal\\\">Θ</mi><mo stretchy=\\\"false\\\">/</mo><mover accent=\\\"true\\\"><mrow><mi mathvariant=\\\"normal\\\">Φ</mi></mrow><mo accent=\\\"true\\\">¯</mo></mover><mo>,</mo><mi>χ</mi><mo stretchy=\\\"false\\\">/</mo><mover accent=\\\"true\\\"><mrow><mi>χ</mi></mrow><mo accent=\\\"true\\\">¯</mo></mover></math></span><span></span> and <span><math altimg=\\\"eq-00008.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><mi>ζ</mi><mo stretchy=\\\"false\\\">/</mo><mover accent=\\\"true\\\"><mrow><mi>ζ</mi></mrow><mo accent=\\\"true\\\">¯</mo></mover></math></span><span></span>) for the IMK-GIQYP and the IMSK-IQYP, respectively. We investigate the newly obtained bound state eigenvalues of the DSE in 3D-NRNCPS symmetries using the IMK-GIQYP and the IMSK-IQYP, with appropriate adjustments made to the improved modified Kratzer potential, improved modified screened Kratzer potential, improved generalized inverse quadratic Yukawa potential model and improved inversely quadratic Yukawa potential model. Additionally, in 3D-NRNCPS symmetries, the thermal properties of the IMK-GIQYP and the IMSK-IQYP, including their partition function, mean energy, free energy, specific heat and entropy, are thoroughly examined. Significant areas, including atomic and molecular physics, find many uses for this study.</p>\",\"PeriodicalId\":18752,\"journal\":{\"name\":\"Modern Physics Letters A\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.5000,\"publicationDate\":\"2024-04-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Modern Physics Letters A\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1142/s0217732324500299\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"ASTRONOMY & ASTROPHYSICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Modern Physics Letters A","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1142/s0217732324500299","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
New bound-state solutions and statistical properties of the IMK-GIQYP and IMSK-IQYP models in 3D-NRNCPS symmetries
Within the framework of three-dimensional non-relativistic noncommutative quantum phase-space (3D-NRNCPS) symmetries, we study the three-dimensional deformed Schrödinger equation (3D-DSE) using the improved modified Kratzer plus generalized inverse quadratic Yukawa potential (IMK-GIQYP) and the improved modified screened Kratzer plus inversely quadratic Yukawa potential (IMSK-IQYP) models. For this consideration, the well-known generalized Bopp’s shifts method and standard perturbation theory are used to solve the DSE in the 3D-NRNCPS regime. For the homogeneous (H2, N2 and I2) and heterogeneous (CO, CH and NO) diatomic molecules, the new non-relativistic energy equation and eigenfunction for the IMK-GIQYP and the IMSK-IQYP models in the presence of deformation phase-space are obtained to be sensitive to the atomic quantum numbers ( and m), the mixed potential depths ( and V) and ( and ), the screening parameters ( and ), and non-commutativity parameters ( and ) for the IMK-GIQYP and the IMSK-IQYP, respectively. We investigate the newly obtained bound state eigenvalues of the DSE in 3D-NRNCPS symmetries using the IMK-GIQYP and the IMSK-IQYP, with appropriate adjustments made to the improved modified Kratzer potential, improved modified screened Kratzer potential, improved generalized inverse quadratic Yukawa potential model and improved inversely quadratic Yukawa potential model. Additionally, in 3D-NRNCPS symmetries, the thermal properties of the IMK-GIQYP and the IMSK-IQYP, including their partition function, mean energy, free energy, specific heat and entropy, are thoroughly examined. Significant areas, including atomic and molecular physics, find many uses for this study.
期刊介绍:
This letters journal, launched in 1986, consists of research papers covering current research developments in Gravitation, Cosmology, Astrophysics, Nuclear Physics, Particles and Fields, Accelerator physics, and Quantum Information. A Brief Review section has also been initiated with the purpose of publishing short reports on the latest experimental findings and urgent new theoretical developments.