On the Mourre estimates for Floquet Hamiltonians

• 足立, 匡義

  Course of Mathematical Science, Department of Human Coexistence, Graduate School of Human and Environmental Studies, Kyoto University

• Kiyose, Amane

  Department of Mathematics, Graduate School of Science, Kobe University

抄録

In the spectral and scattering theory for a Schrödinger operator with a time-periodic potential H(t)=p²/2+V(t, x) , the Floquet Hamiltonian K=−i∂t+H(t) associated with H(t) plays an important role frequently, by virtue of the Howland–Yajima method. In this paper, we introduce a new conjugate operator for K in the standard Mourre theory, that is different from the one due to Yokoyama, in order to relax a certain smoothness condition on V.

収録刊行物

• Letters in Mathematical Physics

  Letters in Mathematical Physics 109 (11), 2513-2529, 2019-11

  Springer Science and Business Media LLC

キーワード

• Mourre estimates
• Floquet Hamiltonians
• Schrödinger operator with time-periodic potentials
• AC Stark Hamiltonians

詳細情報

• CRID: 1050845763785426432
• NII論文ID: 120006764430
• ISSN: 03779017
• ISSN: 15730530
• DOI: 10.1007/s11005-019-01191-x
• HANDLE: 2433/244664
• Web Site: http://link.springer.com/content/pdf/10.1007/s11005-019-01191-x.pdf
• Web Site: http://link.springer.com/article/10.1007/s11005-019-01191-x/fulltext.html
• 本文言語コード: en
• 資料種別: journal article
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