Fano theory

Fano theory, FIR spectra of NH3 128 far infrared (FIR) spectra 62 Fano theory 128 MD calculations 47 Poley absorption 74, 82 fast modulation limit, perturbation theory 182... 

More recently, Mies and Kraus have presented a quantum mechanical theory of the unimolecular decay of activated molecules.13 Because of the similarity between this process and autoionization they used the Fano theory of resonant scattering.2 Their theory provides a detailed description of the relationships between level widths, matrix elements coupling discrete levels to the translational continuum, and the rate of fragmentation of the molecule. 

In the sixties Fano and Cooper (79) presented a theoretical explanation for the Beutler bands in the far-UV absorption spectra of rare gasses. Sturge, Guggenheim, and Pryce (80) showed that the Fano theory describing the band profile of a broad ionizing continuum in the vicinity of sharp intraatomic transitions could be applied to the situation of an impurity center for which a broad absorption band is overlapped by a sharp absorption line. This t5q)e of Fano antiresonance in solid state physics has been observed for two cP transition metal ions, viz., by Sturge et al. (80) and Cr by Lempicki et al. (.81). The explanation for the antiresonance observed for Cr " and is based on... 

It is interesting to compare the Fano theory of autoionisation, which is an interference effect, with another kind of interference effect which is responsible for pronounced variations of intensity in certain molecular bands. Homogeneous perturbations arise when two excited electronic-vibrational states of a molecule are coupled by a perturbation in a manner which does not depend on the rotational quantum numbers of a molecule, but only on the rotational term and vibrational state, so that complete rotational bands can be enhanced or depressed in intensity. 

Mies and Krauss have used a related method in their elegant theory of unimolecular reactions. They explicitly employ a generalization of the Fano theory of autoionization, but they have given less emphasis than we to internal energy redistribution since they study, primarily, thermally excited molecules. 

R. Parzynski, A. Wojcik, J. Schmidt, Multilevel light-induced continuum structure Strong-probe and stabilization effects, Phys. Rev. A 50 (1994) 3285 Multilevel light-induced continuum structure limitations of adapted Fano theory, J. Opt. Soc. Am. B 11 (1994) 644. 

C. . Shannon, A Mathematical Theory of Communication, BeU System Technical Journal, pp. 379 and 623 (1948). Also in book fonn under same title, University of Illinois Press, Urbana, 111. For a recent treatment that is more comprehensive than this chapter, see E. M. Fano, The Transmission of Information, Massachusetts Institute of Technology Press, and John Wiley and Sons, Inc., New York, 1961. 

Track theory starts with localized energy loss. On the other hand, attention has been frequently drawn to the role of delocalized energy loss in radiation chemistry. Fano (1960) estimated from the uncertainty relation that an energy... 

Durand P, Paidarova I, Gadea FX (2001) Theory of Fano profiles. J Phys B 34 1953... 

More elementary introductions to the material in the rest of this section can be found in Messiah (1976) or Cohen-Tannoudji, Diu, and Laloe (1977). More detailed discussions are available in Fano and Racah (1959), Edmonds (1960), Brink and Satchler (1968), de Shalit and Talmi (1963), and Judd (1975). Zare (1988) is particularly useful on both the theory and the manner of its application. Special reference to diatomic molecules is made by Judd (1975) and Mizushima (1975). The close connection to Lie algebra is emphasized by Biedenham and Louck (1981). A summary of the results we need is in Appendix B. 

Breit-Winger-Fano representation of edge structure, 34 261 Brewer-Engel theory, 38 62-63 Bridged hydroxyl groups, 34 159-174 acidity versus... 

In Bethe theory the shell correction ALsheii is conveniently defined as the difference between the stopping number LBom in the Born approximation and the Bethe logarithm LBethe —in (2mv /I). Fano [12] wrote the leading correction in the form... 

An early theory of the IT value was proffered by Spencer and Fano [44], based on the degradation spectrum. Another method, the Fowler equation, was employed by Inokuti [47] for electron irradiation, based on the approximation that there is only one ionization potential and that the ionization efficiency is unity. These restrictions can be relaxed. The main result of Inokuti s analysis may be given as follows. 

In Fano s theory the true unperturbed eigenfunction of the system described in the last paragraph is... 

To arrive at a more unique way of characterizing autoionizing states in the absence of information about the continuum phase we can recast the QDT equations into an R matrix form which is at the same time similar to the original development of QDT from multichannel scattering theory.2 The relation between the different forms of scattering matrix is discussed by Mott and Massey,11 Seaton,2 and Fano and Rau.12... 

The advances in this field are related with the development of the theory of configuration interaction between different excitation channels in nuclear physics including quantum superposition of states corresponding to different spatial locations for interpretation of resonances in nuclear scattering cross-section [7] related with the Fano configuration interaction theory for autoionization processes in atomic physics [8],... 

C. Greene, U. Fano, G. Strinati, General form of the quantum-defect theory, Phys. Rev. A 19 (1979) 1485. 

APPLICATIONS OF FANO-ADC THEORY TO AUGER DECAY IN THE MULTIPLY IONIZED SYSTEMS... 

Let us describe several recent applications of the Fano-ADC theory to Auger decay in multiply ionized systems. We shall start with the simplest problem of this kind - effect of a single neighboring charge on the rate of atomic Auger decay. Then, we shall explore the effect of a spectator vacancy residing... 

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