Second quantization and the L^p-spectrum of nonsymmetric Ornstein-Uhlenbeck operators

Details Second quantization and the L^p-spectrum of nonsymmetric Ornstein-Uhlenbeck operators Second quantization and the L^p-spectrum of nonsymmetric Ornstein-Uhlenbeck operators

2005-09-26

arxiv.org/abs/math-ph/0509057v1

Infin. Dimens. Anal. Quantum Probab. Relat. Top. 8 (2005), 473-496

Physics

Mathematical Physics

20 pages

Scientific paper

The spectra of the second quantization and the symmetric second quantization of a strict Hilbert space contraction are computed explicitly and shown to coincide. As an application, we compute the spectrum of the nonsymmetric Ornstein-Uhlenbeck operator $L$ associated with the infinite-dimensional Langevin equation $$ dU(t) = AU(t)dt + dW(t), $$ where $A$ is the generator of a strongly continuous semigroup on a Banach space $E$ and $W$ is a cylindrical Wiener process in $E$. In the case of a finite-dimensional space $E$ we recover the recent Metafune-Pallara-Priola formula for the spectrum of $L$.

Affiliated with

Also associated with

No associations

Rating

Second quantization and the L^p-spectrum of nonsymmetric Ornstein-Uhlenbeck operators does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Second quantization and the L^p-spectrum of nonsymmetric Ornstein-Uhlenbeck operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Second quantization and the L^p-spectrum of nonsymmetric Ornstein-Uhlenbeck operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-503666