General Decomposition Theory of Ordered Exponentials.

• SUZUKI Masuo

  Department of Physics, University of Tokyo

Abstract

A general decomposition theory of ordered exponentials is presented by reducing the problem to the decomposition of ordinary exponential operators in terms of the super-operator _??_ defined by F(t)exp(Δt_??_)G(t)=F(t+Δt)G(t). It is proved that T(exp∫^t+Δt_tH(s)ds)=exp[Δt(H(t)+_??_)]. Here T denotes the time ordering.

Journal

• Proceedings of the Japan Academy, Series B

  Proceedings of the Japan Academy, Series B 69 (7), 161-166, 1993

  The Japan Academy

Keywords

• Exponential operator
• ordered exponential
• decomposition
• time-dependent Hamiltonian
• Trotter formula

Details

• CRID: 1390282679124510336
• NII Article ID: 130000907738
• DOI: 10.2183/pjab.69.161
• ISSN: 13492896
• ISSN: 03862208
• Web Site: http://www.jstage.jst.go.jp/article/pjab1977/69/7/69_7_161/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed