Wick product of white noise operators and quantum stochastic differential equations

• OBATA Nobuaki

  Graduate School of Mathematics Nagoya University

Abstract

The Wick product of operators on Fock space is introduced on the basis of the analytic characterization theorem for operator symbols established within the framework of white noise distribution theory. Existence and uniqueness of solutions are proved for a certain class of ordinary differential equations for Fock space operators. Quantum stochastic differential equations of Itô type and their generalizations involving higher powers of quantum white noises enter into our consideration.

Journal

• Journal of the Mathematical Society of Japan

  Journal of the Mathematical Society of Japan 51 (3), 613-641, 1999

  The Mathematical Society of Japan

Keywords

• Fock space
• white noise
• operator symbol
• quantum stochastic differential equation
• normal-ordered product
• Wick product

Details

• CRID: 1390282680092771840
• NII Article ID: 10004480631
• NII Book ID: AA0070177X
• DOI: 10.2969/jmsj/05130613
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 1691485
• NDL BIB ID: 4818808
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I4818808
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed