TITLE

# Quantum-statistical theory of a generalized line shape function by a resolvent super-operator expansion method

AUTHOR(S)
Ashikawa, M.; Suzuki, A.
PUB. DATE
June 2000
SOURCE
AIP Conference Proceedings;2000, Vol. 519 Issue 1, p572
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
A resolvent super-operator approach along with projection operators is described for the evaluation of the line shape function due to an electron-scatter system. The line shape function, which appears in the denominator of Badjou-Argyres type conductivity formula, is expressed in terms of a self-energy super-operator.
ACCESSION #
5664986

## Related Articles

• Jaynesï¿½Cummings Model: Solutions without Rotating-Wave Approximation. Tur, �. A. // Optics & Spectroscopy;Oct2000, Vol. 89 Issue 4, p574

The Jaynes-Cummings model in the general nonresonant case without rotating-wave approximation is considered. The analysis is carried out using the resolvent formalism. It is shown that one, given the matrix of Hamiltonian resolvent, can easily find all basic physical quantities corresponding to...

• Pole term decomposition of the resolvent kernel in Fredholmâ€™s form. Matsui, Yoshiko // Journal of Mathematical Physics;Nov87, Vol. 28 Issue 11, p2677

The resolvent kernel represented by a ratio of two Fredholm's series can be reformed into a sum of two ratios, only one of which contains Fredholm's determinant in its denominator. The general results presented are then used to apply Faddeev's residue prescription in the case of the rank N...

• Resolvent operator method for solving rheological equations of state. Armstrong, Robert; Jhon, Myung S.; Dahler, John S. // Journal of Chemical Physics;3/1/1985, Vol. 82 Issue 5, p2440

Fanoâ€™s tetradic representation of Liouvilleâ€“Neumann operators is used as the basis of a systematic procedure for solving an important class of rheological equations of state. This procedure is complementary to the techniques which Bird and his co-workers have used in their studies...

• A band-Lanczos method for computing matrix elements of a resolvent. Meyer, H.-D.; Pal, S. // Journal of Chemical Physics;11/15/1989, Vol. 91 Issue 10, p6195

The band-Lanczos algorithm is used to compute a few matrix elements of a resolvent, i.e., to compute ã€ˆÏˆk|(Ï‰-H)-1|Ïˆlã€‰. Here H denotes a Hermitian matrix of large dimension. It is shown that the proposed method which is based on the band-Lanczos algorithm is more efficient...

• Energy levels of a two-dimensional anharmonic oscillator: Characteristic function approach. Ari, Naşit; Demiralp, Metin // Journal of Mathematical Physics;Jun85, Vol. 26 Issue 6, p1179

The eigenlevels of a two-dimensional quartic anharmonic oscillator are identified as the zeros of a "characteristic function" derived from the resolvent. Numerical values are obtained by means of PadÃ© approximants.

• Scattering of electrons at threading dislocations in GaN. Weimann, Nils G.; Eastman, Lester F.; Doppalapudi, Dharanipal; Ng, Hock M.; Moustakas, Theodore D. // Journal of Applied Physics;4/1/1998, Vol. 83 Issue 7, p3656

Focuses on an experiment which proposes that the model to explain the observed low transverse mobility in GaN, is the scattering of electrons at charged dislocation lines. What the photoluminescence (PL) investigations of GaN films; Information on scattering at filled traps on dislocation...

• On fractional resolvent operator functions. Chuang Chen; Miao Li // Semigroup Forum;Jan/Feb2010, Vol. 80 Issue 1, p121

In this paper we introduce three kinds of resolvent families defined by purely algebraic equations, which extend the classical semigroup property and Cosine functional equation. We give their basic properties and analyticity criteria. Moreover, the relations between integrated resolvent families...

• Feller Semigroups on R[sup N]. Metafune, G.; Pallara, D.; Wacker, M. // Semigroup Forum;2002, Vol. 65 Issue 2, p159

We present in a unified way, and in a purely analytic setting, some aspects of the theory of semigroups generated in the space of bounded continuous functions by second order elliptic operators with unbounded coefficients in R[supN], and the associated resolvent equation. Many examples are also...

• Asymptotics of Resolvent Iterates for Abstract Potentials. Kantorovitz, Shmuel // Semigroup Forum;May/Jun2004, Vol. 68 Issue 3, p491

Let $A$ be an abstract potential, that is, an operator whose resolvent $R(\cdot)$ exists and satisfies the condition $||(\Re\lambda-a)R(\lambda)||\leq M$ in a halfplane $\Pi_a:=\{\lambda\in\Bbb C;\,\Re\lambda>a\}$. It is shown that the resolvent iterates satisfy in $\Pi_a$ the estimates...

Share