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THE PHASE OF THE SCATTERING MATRIX
, 2000
"... Vacuum polarization in external fields is treated by way of calculating —exactly and then perturbatively — the phase of the quantum scattering matrix in the Shale–Stinespring approach to field theory. The link between the Shale–Stinespring method and the Epstein–Glaser renormalization procedure is h ..."
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Vacuum polarization in external fields is treated by way of calculating —exactly and then perturbatively — the phase of the quantum scattering matrix in the Shale–Stinespring approach to field theory. The link between the Shale–Stinespring method and the Epstein–Glaser renormalization procedure
The Scattering Matrix of a Graph
"... Recently, Smilansky expressed the determinant of the bond scattering matrix of a graph by means of the determinant of its Laplacian. We present another proof for this Smilansky’s formula by using some weighted zeta function of a graph. Furthermore, we reprove a weighted version of Smilansky’s formul ..."
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Recently, Smilansky expressed the determinant of the bond scattering matrix of a graph by means of the determinant of its Laplacian. We present another proof for this Smilansky’s formula by using some weighted zeta function of a graph. Furthermore, we reprove a weighted version of Smilansky’s
Infinitesimal spectral flow and scattering matrix
"... Abstract. In this note the notion of infinitesimal scattering matrix is introduced. It is shown that under certain assumption the scattering operator of a pair of trace compatible operators is equal to the chronological exponential of the infinitesimal scattering matrix and that the trace of the inf ..."
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Cited by 6 (6 self)
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Abstract. In this note the notion of infinitesimal scattering matrix is introduced. It is shown that under certain assumption the scattering operator of a pair of trace compatible operators is equal to the chronological exponential of the infinitesimal scattering matrix and that the trace
Differences of spectral projections and scattering matrix
, 2007
"... In the scattering theory framework, we point out a connection between the spectrum of the scattering matrix of two operators and the spectrum of the difference of spectral projections of these operators. 1 Introduction and ..."
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Cited by 1 (0 self)
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In the scattering theory framework, we point out a connection between the spectrum of the scattering matrix of two operators and the spectrum of the difference of spectral projections of these operators. 1 Introduction and
MEASUREMENT OP THE SCATTERING MATRIX OP OBSTACLES IN MULTIMODE WAVE GUIDES
, 1963
"... Measurements of the scattering matrix of obstacles ..."
SCATTERING MATRIX IN CONFORMAL GEOMETRY
, 2001
"... This paper describes the connection between scattering matrices on conformally compact asymptotically Einstein manifolds and conformally invariant objects on their boundaries at infinity. This connection is a manifestation of the general principle that the far field phenomena on a conformally compac ..."
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This paper describes the connection between scattering matrices on conformally compact asymptotically Einstein manifolds and conformally invariant objects on their boundaries at infinity. This connection is a manifestation of the general principle that the far field phenomena on a conformally
PARAMETERIZATION OF THE SCATTERING MATRIX
"... ∫ W‡ ‡ ö)« W? u?H?B? d UMF dOM U jOÝuð vKŽ W ‡ O?‡?M??* « = W?d* « …—UDÝö WœbF « W'UF* « Â«b Ý« …—U?D??Ýö ÍË«e « l‡“uK …d ‡ u* « W ‡ O?‡?K?L?F? ] « Z?‡?‡zUM « q‡‡OK× p –Ë W‡‡KOI ¦ « U‡‡uú …—UDÝô« 16 64 ÁcN ÍË«e « l“uK W ‡ OKLF] «Ë W ‡ dEM Ò « ZzUM « 5ÐU o «uð qC √ v ≈ q u «] Æ O + Zn W ..."
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∫ W‡ ‡ ö)« W? u?H?B? d UMF dOM U jOÝuð vKŽ W ‡ O?‡?M??* « = W?d* « …—UDÝö WœbF « W'UF* « Â«b Ý« …—U?D??Ýö ÍË«e « l‡“uK …d ‡ u* « W ‡ O?‡?K?L?F? ] « Z?‡?‡zUM « q‡‡OK× p –Ë W‡‡KOI ¦ « U‡‡uú …—UDÝô« 16 64 ÁcN ÍË«e « l“uK W ‡ OKLF] «Ë W ‡ dEM Ò « ZzUM « 5ÐU o «uð qC √ v ≈ q u «] Æ O + Zn W‡d*« vKŽ UC √ Î UN√
INFINITESIMAL SPECTRAL FLOW AND SCATTERING MATRIX
"... Abstract. In this note we introduce the absolutely continuous and the singular parts of the spectral shift function as integrals of the absolutely continuous and, respectively, of the singular parts of the infinitesimal spectral flow. Under certain assumption, we show that this definition is indepen ..."
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is independent of the piecewise linear path of integration. The proof is based on a representation of the scattering operator of a pair of trace compatible operators as chronological exponential of the infinitesimal scattering matrix, and on the fact that the trace of the infinitesimal scattering matrix is equal
Results 1  10
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302,488