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Remarks on the TrotterKato product formula for unitary groups

Pavel Exner Hagen Neidhardt Valentin A Zagrebnov

TBD mathscidoc:1910.43162

Integral Equations and Operator Theory, 69, (4), 451-478, 2011.4
Let <i>A</i> and <i>B</i> be non-negative self-adjoint operators in a separable Hilbert space such that their form sum <i>C</i> is densely defined. It is shown that the Trotter product formula holds for imaginary parameter values in the <i>L</i> <sup>2</sup>-norm, that is, one has <div class="gsh_dspfr"> \lim_{no+\infty} \int\limits^T_{-T} \left\|\left(e^{-itA/n}e^{-itB/n} ight)^nh - e^{-itC}hight\|^2dt = 0
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@inproceedings{pavel2011remarks,
  title={Remarks on the TrotterKato product formula for unitary groups},
  author={Pavel Exner, Hagen Neidhardt, and Valentin A Zagrebnov},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020131915429960691},
  booktitle={Integral Equations and Operator Theory},
  volume={69},
  number={4},
  pages={451-478},
  year={2011},
}
Pavel Exner, Hagen Neidhardt, and Valentin A Zagrebnov. Remarks on the TrotterKato product formula for unitary groups. 2011. Vol. 69. In Integral Equations and Operator Theory. pp.451-478. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020131915429960691.
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