The ground state of the lithium atom in dense plasmas using variational Monte Carlo method
In this paper, the variational quantum Monte Carlo method is applied to investigate the ground state of the lithium atom. Moreover, the energy eigenvalues of the lithium atom in dense plasma are also investigated by using the Debye–Hückel model and the exponential cosine screened Coulomb potential m...
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| Veröffentlicht in: | Indian journal of physics 2021-12, Vol.95 (12), p.2847-2853 |
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| container_title | Indian journal of physics |
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| creator | Doma, S. B. El-Gendy, H. S. Abdel-Khalek, M. A. Hejazi, M. M. |
| description | In this paper, the variational quantum Monte Carlo method is applied to investigate the ground state of the lithium atom. Moreover, the energy eigenvalues of the lithium atom in dense plasma are also investigated by using the Debye–Hückel model and the exponential cosine screened Coulomb potential model. The calculations are carried out by using trial wave functions in the form of the Slater determinant wave function multiplied by a correlation function due to the interaction between the electrons. Three types of correlation functions are used—with two, three and four variational parameters—one of which satisfies the well-known cusp conditions. Interesting results are obtained in comparison with results obtained by using other trial wave functions. |
| doi_str_mv | 10.1007/s12648-020-01920-2 |
| format | Article |
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B. ; El-Gendy, H. S. ; Abdel-Khalek, M. A. ; Hejazi, M. M.</creator><creatorcontrib>Doma, S. B. ; El-Gendy, H. S. ; Abdel-Khalek, M. A. ; Hejazi, M. M.</creatorcontrib><description>In this paper, the variational quantum Monte Carlo method is applied to investigate the ground state of the lithium atom. Moreover, the energy eigenvalues of the lithium atom in dense plasma are also investigated by using the Debye–Hückel model and the exponential cosine screened Coulomb potential model. The calculations are carried out by using trial wave functions in the form of the Slater determinant wave function multiplied by a correlation function due to the interaction between the electrons. Three types of correlation functions are used—with two, three and four variational parameters—one of which satisfies the well-known cusp conditions. 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B.</creatorcontrib><creatorcontrib>El-Gendy, H. S.</creatorcontrib><creatorcontrib>Abdel-Khalek, M. A.</creatorcontrib><creatorcontrib>Hejazi, M. M.</creatorcontrib><title>The ground state of the lithium atom in dense plasmas using variational Monte Carlo method</title><title>Indian journal of physics</title><addtitle>Indian J Phys</addtitle><description>In this paper, the variational quantum Monte Carlo method is applied to investigate the ground state of the lithium atom. Moreover, the energy eigenvalues of the lithium atom in dense plasma are also investigated by using the Debye–Hückel model and the exponential cosine screened Coulomb potential model. The calculations are carried out by using trial wave functions in the form of the Slater determinant wave function multiplied by a correlation function due to the interaction between the electrons. Three types of correlation functions are used—with two, three and four variational parameters—one of which satisfies the well-known cusp conditions. Interesting results are obtained in comparison with results obtained by using other trial wave functions.</description><subject>Astrophysics and Astroparticles</subject><subject>Coulomb potential</subject><subject>Dense plasmas</subject><subject>Eigenvalues</subject><subject>Ground state</subject><subject>Lithium</subject><subject>Monte Carlo simulation</subject><subject>Original Paper</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Plasmas (physics)</subject><subject>Wave functions</subject><issn>0973-1458</issn><issn>0974-9845</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNp9ULFOwzAQtRBIlMIPMFliDpxjO3ZGVAFFKmIpC4vlJnbrKomL7SDx95gGiY3l7nR67929h9A1gVsCIO4iKSsmCyihAFLnWp6gGdSCFbVk_PQ404IwLs_RRYx7gKomgs_Q-3pn8Db4cWhxTDoZ7C1Oede5tHNjj3XyPXYDbs0QDT50OvY64jG6YYs_dXA6OT_oDr_4IZMXOnQe9ybtfHuJzqzuorn67XP09viwXiyL1evT8-J-VTRU8lSUzNgNsdJaohvCdLWRFGrCGTWc1RSqCoACt9mbaEFK3rZatJoxuWGCNA2do5tJ9xD8x2hiUns_hvxTVGWVfRMuBMuockI1wccYjFWH4HodvhQB9ZOhmjJU-Y46ZqjKTKITKWbwsDXhT_of1je8R3PD</recordid><startdate>20211201</startdate><enddate>20211201</enddate><creator>Doma, S. B.</creator><creator>El-Gendy, H. S.</creator><creator>Abdel-Khalek, M. A.</creator><creator>Hejazi, M. M.</creator><general>Springer India</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20211201</creationdate><title>The ground state of the lithium atom in dense plasmas using variational Monte Carlo method</title><author>Doma, S. B. ; El-Gendy, H. S. ; Abdel-Khalek, M. A. ; Hejazi, M. M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c385t-24efb1f8ff1ac14a6b83091543e549306600305f0207d0885dda7da448b471cc3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Astrophysics and Astroparticles</topic><topic>Coulomb potential</topic><topic>Dense plasmas</topic><topic>Eigenvalues</topic><topic>Ground state</topic><topic>Lithium</topic><topic>Monte Carlo simulation</topic><topic>Original Paper</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Plasmas (physics)</topic><topic>Wave functions</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Doma, S. B.</creatorcontrib><creatorcontrib>El-Gendy, H. S.</creatorcontrib><creatorcontrib>Abdel-Khalek, M. A.</creatorcontrib><creatorcontrib>Hejazi, M. M.</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Indian journal of physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Doma, S. B.</au><au>El-Gendy, H. S.</au><au>Abdel-Khalek, M. A.</au><au>Hejazi, M. M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The ground state of the lithium atom in dense plasmas using variational Monte Carlo method</atitle><jtitle>Indian journal of physics</jtitle><stitle>Indian J Phys</stitle><date>2021-12-01</date><risdate>2021</risdate><volume>95</volume><issue>12</issue><spage>2847</spage><epage>2853</epage><pages>2847-2853</pages><issn>0973-1458</issn><eissn>0974-9845</eissn><abstract>In this paper, the variational quantum Monte Carlo method is applied to investigate the ground state of the lithium atom. Moreover, the energy eigenvalues of the lithium atom in dense plasma are also investigated by using the Debye–Hückel model and the exponential cosine screened Coulomb potential model. The calculations are carried out by using trial wave functions in the form of the Slater determinant wave function multiplied by a correlation function due to the interaction between the electrons. 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| subjects | Astrophysics and Astroparticles Coulomb potential Dense plasmas Eigenvalues Ground state Lithium Monte Carlo simulation Original Paper Physics Physics and Astronomy Plasmas (physics) Wave functions |
| title | The ground state of the lithium atom in dense plasmas using variational Monte Carlo method |
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