Relativistic Hamiltonians with dilation analytic potentials diverging at infinity

• Ito Hiroshi T.

  Department of Computer Science, Ehime University

• Yamada Osanobu

  Department of Mathematical Sciences, Ritsumeikan University

抄録

We investigate the spectral properties of the Dirac operator with a potential V(x) and two relativistic Schrödinger operators with V(x) and -V(x), respectively. The potential V(x) is assumed to be dilation analytic and diverge at infinity. Our approach is based on an abstract theorem related to dilation analytic methods, and our results on the Dirac operator are obtained by analyzing dilated relativistic Schrödinger operators. Moreover, we explain some relationships of spectra and resonances between Schrödinger operators and the Dirac operator as the nonrelativistic limit.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 63 (4), 1311-1357, 2011

  一般社団法人 日本数学会

キーワード

• Dirac operator
• relativistic Schrodinger operator
• resonances
• nonrelativistic limit

詳細情報

• CRID: 1390001205116555776
• NII論文ID: 10030344887
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/06341311
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• NDL書誌ID: 11284923
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I11284923
• 本文言語コード: en
• データソース種別:
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  • NDL
  • Crossref
  • CiNii Articles
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