Confinement of atoms with Robin’s condition: Spontaneous symmetry breaking
The properties of the ground state of the hydrogen atom in a spherical vacuum cavity with general boundary “not going out” conditions (i.e., when the probability current through the boundary vanishes) are studied. It is shown that in contrast to the confinement of an atom by a potential barrier, in...
Gespeichert in:
| Veröffentlicht in: | Moscow University physics bulletin 2017, Vol.72 (1), p.29-35 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 35 |
|---|---|
| container_issue | 1 |
| container_start_page | 29 |
| container_title | Moscow University physics bulletin |
| container_volume | 72 |
| creator | Sveshnikov, K. A. Silaev, P. K. Tolokonnikov, A. V. |
| description | The properties of the ground state of the hydrogen atom in a spherical vacuum cavity with general boundary “not going out” conditions (i.e., when the probability current through the boundary vanishes) are studied. It is shown that in contrast to the confinement of an atom by a potential barrier, in this case depending on the parameters of the cavity, the atom could be in stable equilibrium at the center of the cavity or shift towards its periphery: spontaneous breaking of spherical symmetry occurs. The phase diagram of the shift and the dependence of the shift value and the binding energy of the ground state of the atom on the cavity parameters are presented. At the same time, the deformation properties of the electron wave function (WF) for an asymmetric distortion are so nontrivial that a non-zero shift occurs even when an electron is repulsed from the cavity boundary. |
| doi_str_mv | 10.3103/S0027134917010155 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_1889414073</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1889414073</sourcerecordid><originalsourceid>FETCH-LOGICAL-c316t-a01832657208bed79fe8b8309a5056b275b68faabe4e1e6a01794324b8c38acf3</originalsourceid><addsrcrecordid>eNp1kM1KAzEUhYMoWKsP4C7gevTmZyaJOyn-QUGwuh6SaVKjTlKTFOnO1_D1fBKn1IUgru7ifOecy0HomMApI8DOZgBUEMYVEUCA1PUOGhHFeCV5A7totJGrjb6PDnJ-BqgbytQITScxOB9sb0PB0WFdYp_xuy9P-D4aH74-PjPuYpj74mM4x7NlDEUHG1cZ53Xf25LW2CSrX3xYHKI9p1-zPfq5Y_R4dfkwuammd9e3k4tp1THSlEoDkYw2taAgjZ0L5aw0koHS9fCWoaI2jXRaG8stsc2AC8UZ5UZ2TOrOsTE62eYuU3xb2Vza57hKYahsiZSKEw6CDRTZUl2KOSfr2mXyvU7rlkC7Ga39M9rgoVtPHtiwsOlX8r-mb_Iwbrs</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1889414073</pqid></control><display><type>article</type><title>Confinement of atoms with Robin’s condition: Spontaneous symmetry breaking</title><source>SpringerNature Journals</source><creator>Sveshnikov, K. A. ; Silaev, P. K. ; Tolokonnikov, A. V.</creator><creatorcontrib>Sveshnikov, K. A. ; Silaev, P. K. ; Tolokonnikov, A. V.</creatorcontrib><description>The properties of the ground state of the hydrogen atom in a spherical vacuum cavity with general boundary “not going out” conditions (i.e., when the probability current through the boundary vanishes) are studied. It is shown that in contrast to the confinement of an atom by a potential barrier, in this case depending on the parameters of the cavity, the atom could be in stable equilibrium at the center of the cavity or shift towards its periphery: spontaneous breaking of spherical symmetry occurs. The phase diagram of the shift and the dependence of the shift value and the binding energy of the ground state of the atom on the cavity parameters are presented. At the same time, the deformation properties of the electron wave function (WF) for an asymmetric distortion are so nontrivial that a non-zero shift occurs even when an electron is repulsed from the cavity boundary.</description><identifier>ISSN: 0027-1349</identifier><identifier>EISSN: 1934-8460</identifier><identifier>DOI: 10.3103/S0027134917010155</identifier><language>eng</language><publisher>New York: Allerton Press</publisher><subject>Broken symmetry ; Confinement ; Deformation ; Ground state ; Helium ; Mathematical and Computational Physics ; Physics ; Physics and Astronomy ; Potential barriers ; Theoretical ; Theoretical and Mathematical Physics</subject><ispartof>Moscow University physics bulletin, 2017, Vol.72 (1), p.29-35</ispartof><rights>Allerton Press, Inc. 2017</rights><rights>Copyright Springer Science & Business Media 2017</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c316t-a01832657208bed79fe8b8309a5056b275b68faabe4e1e6a01794324b8c38acf3</citedby><cites>FETCH-LOGICAL-c316t-a01832657208bed79fe8b8309a5056b275b68faabe4e1e6a01794324b8c38acf3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.3103/S0027134917010155$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.3103/S0027134917010155$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Sveshnikov, K. A.</creatorcontrib><creatorcontrib>Silaev, P. K.</creatorcontrib><creatorcontrib>Tolokonnikov, A. V.</creatorcontrib><title>Confinement of atoms with Robin’s condition: Spontaneous symmetry breaking</title><title>Moscow University physics bulletin</title><addtitle>Moscow Univ. Phys</addtitle><description>The properties of the ground state of the hydrogen atom in a spherical vacuum cavity with general boundary “not going out” conditions (i.e., when the probability current through the boundary vanishes) are studied. It is shown that in contrast to the confinement of an atom by a potential barrier, in this case depending on the parameters of the cavity, the atom could be in stable equilibrium at the center of the cavity or shift towards its periphery: spontaneous breaking of spherical symmetry occurs. The phase diagram of the shift and the dependence of the shift value and the binding energy of the ground state of the atom on the cavity parameters are presented. At the same time, the deformation properties of the electron wave function (WF) for an asymmetric distortion are so nontrivial that a non-zero shift occurs even when an electron is repulsed from the cavity boundary.</description><subject>Broken symmetry</subject><subject>Confinement</subject><subject>Deformation</subject><subject>Ground state</subject><subject>Helium</subject><subject>Mathematical and Computational Physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Potential barriers</subject><subject>Theoretical</subject><subject>Theoretical and Mathematical Physics</subject><issn>0027-1349</issn><issn>1934-8460</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><recordid>eNp1kM1KAzEUhYMoWKsP4C7gevTmZyaJOyn-QUGwuh6SaVKjTlKTFOnO1_D1fBKn1IUgru7ifOecy0HomMApI8DOZgBUEMYVEUCA1PUOGhHFeCV5A7totJGrjb6PDnJ-BqgbytQITScxOB9sb0PB0WFdYp_xuy9P-D4aH74-PjPuYpj74mM4x7NlDEUHG1cZ53Xf25LW2CSrX3xYHKI9p1-zPfq5Y_R4dfkwuammd9e3k4tp1THSlEoDkYw2taAgjZ0L5aw0koHS9fCWoaI2jXRaG8stsc2AC8UZ5UZ2TOrOsTE62eYuU3xb2Vza57hKYahsiZSKEw6CDRTZUl2KOSfr2mXyvU7rlkC7Ga39M9rgoVtPHtiwsOlX8r-mb_Iwbrs</recordid><startdate>2017</startdate><enddate>2017</enddate><creator>Sveshnikov, K. A.</creator><creator>Silaev, P. K.</creator><creator>Tolokonnikov, A. V.</creator><general>Allerton Press</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>2017</creationdate><title>Confinement of atoms with Robin’s condition: Spontaneous symmetry breaking</title><author>Sveshnikov, K. A. ; Silaev, P. K. ; Tolokonnikov, A. V.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c316t-a01832657208bed79fe8b8309a5056b275b68faabe4e1e6a01794324b8c38acf3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Broken symmetry</topic><topic>Confinement</topic><topic>Deformation</topic><topic>Ground state</topic><topic>Helium</topic><topic>Mathematical and Computational Physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Potential barriers</topic><topic>Theoretical</topic><topic>Theoretical and Mathematical Physics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Sveshnikov, K. A.</creatorcontrib><creatorcontrib>Silaev, P. K.</creatorcontrib><creatorcontrib>Tolokonnikov, A. V.</creatorcontrib><collection>CrossRef</collection><jtitle>Moscow University physics bulletin</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Sveshnikov, K. A.</au><au>Silaev, P. K.</au><au>Tolokonnikov, A. V.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Confinement of atoms with Robin’s condition: Spontaneous symmetry breaking</atitle><jtitle>Moscow University physics bulletin</jtitle><stitle>Moscow Univ. Phys</stitle><date>2017</date><risdate>2017</risdate><volume>72</volume><issue>1</issue><spage>29</spage><epage>35</epage><pages>29-35</pages><issn>0027-1349</issn><eissn>1934-8460</eissn><abstract>The properties of the ground state of the hydrogen atom in a spherical vacuum cavity with general boundary “not going out” conditions (i.e., when the probability current through the boundary vanishes) are studied. It is shown that in contrast to the confinement of an atom by a potential barrier, in this case depending on the parameters of the cavity, the atom could be in stable equilibrium at the center of the cavity or shift towards its periphery: spontaneous breaking of spherical symmetry occurs. The phase diagram of the shift and the dependence of the shift value and the binding energy of the ground state of the atom on the cavity parameters are presented. At the same time, the deformation properties of the electron wave function (WF) for an asymmetric distortion are so nontrivial that a non-zero shift occurs even when an electron is repulsed from the cavity boundary.</abstract><cop>New York</cop><pub>Allerton Press</pub><doi>10.3103/S0027134917010155</doi><tpages>7</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0027-1349 |
| ispartof | Moscow University physics bulletin, 2017, Vol.72 (1), p.29-35 |
| issn | 0027-1349 1934-8460 |
| language | eng |
| recordid | cdi_proquest_journals_1889414073 |
| source | SpringerNature Journals |
| subjects | Broken symmetry Confinement Deformation Ground state Helium Mathematical and Computational Physics Physics Physics and Astronomy Potential barriers Theoretical Theoretical and Mathematical Physics |
| title | Confinement of atoms with Robin’s condition: Spontaneous symmetry breaking |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-20T02%3A30%3A13IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Confinement%20of%20atoms%20with%20Robin%E2%80%99s%20condition:%20Spontaneous%20symmetry%20breaking&rft.jtitle=Moscow%20University%20physics%20bulletin&rft.au=Sveshnikov,%20K.%20A.&rft.date=2017&rft.volume=72&rft.issue=1&rft.spage=29&rft.epage=35&rft.pages=29-35&rft.issn=0027-1349&rft.eissn=1934-8460&rft_id=info:doi/10.3103/S0027134917010155&rft_dat=%3Cproquest_cross%3E1889414073%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1889414073&rft_id=info:pmid/&rfr_iscdi=true |