Spectra of Hamiltonians with Generalized Single-Site Dynamical Disorder

Details Spectra of Hamiltonians with Generalized Single-Site Dynamical Disorder Spectra of Hamiltonians with Generalized Single-Site Dynamical Disorder

1994-04-13

arxiv.org/abs/cond-mat/9404037v1

Physics

Condensed Matter

24 pages, LATEX, 4 figures available upon request from the authors, HD-TVP-93-26

Scientific paper

10.1007/BF01316850

Starting from the deformed commutation relations \ba a_q(t) \,a_q^{\dag}(s) \ - \ q\,a_q^{\dag}(s)\,a_q(t) \ = \ \Gam(t-s) {\bf 1} , \quad -1\ \le \ q\ \le\ 1\nn \ea with a covariance $\Gam(t-s)$ and a parameter $q$ varying between $-1$ and $1$, a stochastic process is constructed which continuously deforms the classical Gaussian and classical compound Poisson process. The moments of these distinguished stochastic processes are identified with the Hilbert space vacuum expectation values of products of $\hat{\om}_q (t) = \gam\,\big(\, a_q(t) + a_q^{\dag} (t) \,\big)\;+ \; \xi\, a_q^{\dag} (t) a_q(t)$ with fixed parameters $q$, $\gam$ and $\xi$. Thereby we can interpolate between dichotomic, random matrix and classical Gaussian and compound Poisson processes. The spectra of Hamiltonians with single-site dynamical disorder are calculated for an exponential covariance (coloured noise) by means of the time convolution generalized master equation formalism (TC-GME) and the

Affiliated with

Also associated with

No associations

Rating

Spectra of Hamiltonians with Generalized Single-Site Dynamical Disorder 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 Spectra of Hamiltonians with Generalized Single-Site Dynamical Disorder, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spectra of Hamiltonians with Generalized Single-Site Dynamical Disorder will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-441190