Note on norm and pointwise convergence of exponential products and their integral kernels for the harmonic oscillator

• Azuma Yoshiki

• Ichinose Takashi

• 一瀬 孝

抄録

金沢大学大学院自然科学研究科

The aim of this paper is to study the exponential symmetric product formula for the semigroup of the one-dimensional harmonic oscillator to discuss its convergence pointwise of the integral kernels as well as in norm with sharp optimal error bound. © 2007 Birkhaueser.

収録刊行物

• Integral Equations and Operator Theory

  Integral Equations and Operator Theory 60 (2), 151-176, 2008-02-01

  Springer Verlag (Germany)

キーワード

• Exponetial product formula
• Harmonic oscillator
• Pointwise integral kernel convergence
• Trotter product formula
• Trotter-Kato product formula

詳細情報

• CRID: 1390295966976131456
• NII論文ID: 120001135308
• DOI: 10.24517/00010147
• ISSN: 0378620X
• Web Site: http://hdl.handle.net/2297/9543
• 本文言語コード: en
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