{"id":216104,"date":"2025-04-05T11:07:00","date_gmt":"2025-04-05T07:07:00","guid":{"rendered":"https:\/\/www.imm.az\/exp\/?p=216104"},"modified":"2025-04-05T11:15:50","modified_gmt":"2025-04-05T07:15:50","slug":"announcement-268","status":"publish","type":"post","link":"https:\/\/www.imm.az\/exp\/2025\/04\/05\/announcement-268\/","title":{"rendered":"Announcement"},"content":{"rendered":"<p>On 09-th\u00a0 April 2025 at 10:00 a.m., at the Institute-wide seminar Chief Researcher employee of the department &#8220;Functional analysis&#8221;, doctor of mathematical sciences, prof. Elshad Hatam ogli Eyvazov will speak\u00a0 with a report on the topic \u201cOn the Sum of Negative Eigenvalues of the Three-Dimensional Schr\u00f6dinger Operator\u201d.<\/p>\n<p><strong>Abstract of the report. <\/strong>M. Demuth and G. Katriel proved the finiteness of the sum of negative eigenvalues of the <em>d<\/em>-dimensional Schr\u00f6dinger operator under certain conditions on the electrical potential for <em>d <\/em><em>\u2265 <\/em>4. They also posed the following question: Is the restriction <em>d <\/em><em>\u2265 <\/em>4 a disadvantage of the method, or does it reflect the actual situation? In this report we show that the method of these authors also works for the three-dimensional Schr\u00f6dinger operator with Kato potential whose negative part is an integrable function and that this method does not apply to the two-dimensional Schr\u00f6dinger operator.<\/p>\n<p>\u00a9 All rights are reserved. Citing to www.imm.az is necessary upon using news.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>On 09-th\u00a0 April 2025 at 10:00 a.m., at the Institute-wide seminar Chief Researcher employee of the department &#8220;Functional analysis&#8221;, doctor of mathematical sciences, prof. Elshad Hatam ogli Eyvazov will speak\u00a0 with a report on the topic \u201cOn the Sum of Negative Eigenvalues of the Three-Dimensional Schr\u00f6dinger Operator\u201d. Abstract of the report. M. Demuth and G. [&hellip;]<\/p>\n","protected":false},"author":6,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[130],"tags":[],"_links":{"self":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/216104"}],"collection":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/comments?post=216104"}],"version-history":[{"count":2,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/216104\/revisions"}],"predecessor-version":[{"id":216106,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/216104\/revisions\/216106"}],"wp:attachment":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/media?parent=216104"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/categories?post=216104"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/tags?post=216104"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}