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Grounding in communication
 In
, 1991
"... We give a general analysis of a class of pairs of positive selfadjoint operators A and B for which A + XB has a limit (in strong resolvent sense) as h10 which is an operator A, # A! Recently, Klauder [4] has discussed the following example: Let A be the operator(d2/A2) + x2 on L2(R, dx) and let ..."
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Cited by 1082 (19 self)
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, which Klauder ignores, below). He finds that the eigenvalues E,(X) and eigenvectors &(A) do not converge to 8, and H, but rather AO) + (en 4 Ho+, J%(X)+ gn+1 I n = 0, 2,..., We wish to discuss in detail the general phenomena which Klauder has uncovered. We freely use the techniques of quadratic
On conformal field theories
 in fourdimensions,” Nucl. Phys. B533
, 1998
"... We review the generalization of field theory to spacetime with noncommuting coordinates, starting with the basics and covering most of the active directions of research. Such theories are now known to emerge from limits of M theory and string theory, and to describe quantum Hall states. In the last ..."
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Cited by 366 (1 self)
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We review the generalization of field theory to spacetime with noncommuting coordinates, starting with the basics and covering most of the active directions of research. Such theories are now known to emerge from limits of M theory and string theory, and to describe quantum Hall states. In the last few years they have been studied intensively, and many qualitatively new phenomena have been discovered, both on the classical and quantum level. Submitted to Reviews of Modern Physics.
Klauder’s coherent states for the radial Coulomb problem in a uniformly curved space and their flatspace limits
, 2004
"... First a set of coherent states á la Klauder is formally constructed for the Coulomb problem in a curved space of constant positive curvature. Then the flatspace limit is taken to reduce the set for the radial Coulomb problem to a set of hydrogen atom coherent states corresponding to both the discre ..."
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First a set of coherent states á la Klauder is formally constructed for the Coulomb problem in a curved space of constant positive curvature. Then the flatspace limit is taken to reduce the set for the radial Coulomb problem to a set of hydrogen atom coherent states corresponding to both
Quantum chromodynamics and other field theories on the light cone
, 1997
"... In recent years lightcone quantization of quantum field theory has emerged as a promising method for solving problems in the strong coupling regime. The approach has a number of unique features that make it particularly appealing, most notably, the ground state of the free theory is also a ground s ..."
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Cited by 65 (14 self)
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In recent years lightcone quantization of quantum field theory has emerged as a promising method for solving problems in the strong coupling regime. The approach has a number of unique features that make it particularly appealing, most notably, the ground state of the free theory is also a ground state of the full theory. We discuss the lightcone quantization of gauge theories from two perspectives: as a calculational tool for representing hadrons as QCD boundstates of relativistic quarks and gluons, and also as a novel method for simulating quantum field theory on a computer. The lightcone Fock state expansion of wavefunctions provides a precise definition of the parton model and a general calculus for hadronic matrix elements. We present several new applications of lightcone Fock methods, including calculations of exclusive weak decays of heavy hadrons, and intrinsic heavyquark contributions to structure functions. A general nonperturbative method for numerically solving quantum field theories, “discretized lightcone quantization”, is outlined and applied to several gauge theories. This method is invariant under the
1 A Deformation of Quantum Dynamics through the Phase Space Path Integral 1
, 812
"... Using a regularised construction of the phase space path integral due to Ingrid Daubechies and John Klauder which involves a time scale ultimately taken to vanish, and motivated by the general programme towards a noncommutative space(time) geometry, physical consequences of assuming this time parame ..."
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Cited by 1 (1 self)
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Using a regularised construction of the phase space path integral due to Ingrid Daubechies and John Klauder which involves a time scale ultimately taken to vanish, and motivated by the general programme towards a noncommutative space(time) geometry, physical consequences of assuming this time
Directional wavelets revisited: Cauchy wavelets and symmetry detection in patterns
 Appl. Comp. Harm. Analysis
, 1999
"... The analysis of oriented features in images requires twodimensional directional wavelets. Among these, we study in detail the class of Cauchy wavelets, which are strictly supported in a (narrow) convex cone in spatial frequency space. They have excellent angular selectivity, as shown by a standard ..."
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Cited by 54 (12 self)
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The analysis of oriented features in images requires twodimensional directional wavelets. Among these, we study in detail the class of Cauchy wavelets, which are strictly supported in a (narrow) convex cone in spatial frequency space. They have excellent angular selectivity, as shown by a standard calibration test, and they have minimal uncertainty. In addition, we present a new application of directional wavelets, namely a technique for determining the symmetries of a given pattern with respect to rotations and dilation. © 1999 Academic Press 1.
A Note on (Spin)CoherentState Path Integral
, 1998
"... It is pointed out that there are some fundamental difficulties with the frequently used continuoustime formalism of the spincoherentstate path integral. They arise already in a singlespin system and at the level of the ”classical action ” not to speak of fluctuations around the ”classical path”. ..."
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”. Similar difficulties turn out to be present in the case of the (boson)coherentstate path integral as well; although partially circumventable by an ingenious trick (Klauder’s ǫprescription) at the ”classical level”, they manifest themselves at the level of fluctuations. Detailed analysis of the origin
LAUR972760 THE DISCOVERY OF SQUEEZED STATES — IN 1927
, 1997
"... I first review a) the flowering of coherent states in the 1960’s, yet b) the discovery of coherent states in 1926, and c) the flowering of squeezed states in the 1970’s and 1980’s. Then, with the background of the excitement over the then new quantum mechanics, I describe d) the discovery of squeeze ..."
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of squeezed states in 1927. 1 Coherent States Coherent states are important in many fields of physics [1, 2]. This became widely recognized during the 1960’s due to the work of Glauber [3], Klauder [4, 5], and Sudarshan [5, 6]. In modern parlance, they are standardly defined in three equivalent ways: 1
RESULTS OF PENICILLIN THERAPY IN SYPHILITIC PRIMARY OPTIC ATROPHY* BY
"... Syphilitic primary optic atrophy is one of the most serious eye diseases. Untreated, it usually leads to blindness; bilateral blindness occurred within one year in 35 per cent., within 3 years in 81 per cent., and within 6 years in 94 per cent. of eightyone untreated patients (Klauder and Gross, 19 ..."
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Syphilitic primary optic atrophy is one of the most serious eye diseases. Untreated, it usually leads to blindness; bilateral blindness occurred within one year in 35 per cent., within 3 years in 81 per cent., and within 6 years in 94 per cent. of eightyone untreated patients (Klauder and Gross
Holomorphic Methods in Analysis and Mathematical Physics
, 1999
"... this paper Bargmann described the infinitedimensional version of the SegalBargmann space, having forgotten that Segal had already treated this case in his 1960 talks. Once Bargmann real ized his mistake he published an acknowledgment [B3], noting that his oversight had resulted from "excepti ..."
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Cited by 39 (10 self)
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this paper Bargmann described the infinitedimensional version of the SegalBargmann space, having forgotten that Segal had already treated this case in his 1960 talks. Once Bargmann real ized his mistake he published an acknowledgment [B3], noting that his oversight had resulted from "exceptional circumstances." 33 Finally, in 1978 Segal published a paper [S3] that gives a technically better description of the SegalBargmann space in infinitely many degrees of freedom and describes explicitly the corresponding transform (similar to what I call Ba). In this paper Segal cites Bargmann's 1961 paper [B1] and the acknowledgment to Bargmann's 1962 paper [B2], but not the 1962 paper itself. This has fostered some confusion (reflected in the citations of other authors) as to whether the acknowledgment refers to Bargmann's 1961 paper or to his 1962 paper. See Section 10 for a description of the infinitedimensional transform similar to that of [S3]
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