Two-dimensional Exchange Spectroscopy Using Pure NQR

1992 ◽  
Vol 47 (1-2) ◽  
pp. 382-388 ◽  
Author(s):  
E. Rommel ◽  
P. Nickel ◽  
F. Rohmer ◽  
R. Kimmich

AbstractExchange between positions with different resonance frequencies can be studied by two-dimensional spectroscopy originally developed for the NMR case. Cross intensity reflects changes of the resonance frequency due to different line shifts or anisotropic interactions. We now present analogous experiments carried out with pure NQR of polycrystalline samples. The specific requirements are discussed in comparison to 2D exchange NMR spectroscopy. The method has been demonstrated with chloroform and p-chlorobenzotrichloride, where the resonances of the 35Cl nuclei were investigated. Isomeric changes taking place in these compounds reveal themselves as cross-peaks provided the right ranges of the temperature and the mixing time are chosen. The corresponding dependences were recorded and are discussed.

1998 ◽  
Vol 14 (1) ◽  
pp. 1-15 ◽  
Author(s):  
Tsung-Jen Teng ◽  
Juin-Fu Chai ◽  
Chau-Shioung Yeh

ABSTRACTThis paper is to develop the background phase subtraction method to determine the resonance frequency of a two-dimensional alluvial valley subjected to an incident plane SH-wave. The scattered wave due to the alluvium can be expressed in a series of basis functions, and the associated coefficients are related to the coefficients of free field by the so-called T-matrix method. By applying the resonance scattering theory, the effects among all normal modes can be decoupled and hence one can obtain the phase shift of each eigen partial wave. Similarly, the phase shift of each eigen partial wave due to a canyon with the same geometrical shape of the alluvium can be determined, and is recognized as the background effect. Furthermore, based on the phase represented scattering matrix, the resonance frequencies of each normal mode and its overtones can be determined by the subtraction of the associated phase dependent function due to the canyon from that due to the alluvium.


2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Mert Besken ◽  
Jan de Boer ◽  
Grégoire Mathys

Abstract We discuss some general aspects of commutators of local operators in Lorentzian CFTs, which can be obtained from a suitable analytic continuation of the Euclidean operator product expansion (OPE). Commutators only make sense as distributions, and care has to be taken to extract the right distribution from the OPE. We provide explicit computations in two and four-dimensional CFTs, focusing mainly on commutators of components of the stress-tensor. We rederive several familiar results, such as the canonical commutation relations of free field theory, the local form of the Poincaré algebra, and the Virasoro algebra of two-dimensional CFT. We then consider commutators of light-ray operators built from the stress-tensor. Using simplifying features of the light sheet limit in four-dimensional CFT we provide a direct computation of the BMS algebra formed by a specific set of light-ray operators in theories with no light scalar conformal primaries. In four-dimensional CFT we define a new infinite set of light-ray operators constructed from the stress-tensor, which all have well-defined matrix elements. These are a direct generalization of the two-dimensional Virasoro light-ray operators that are obtained from a conformal embedding of Minkowski space in the Lorentzian cylinder. They obey Hermiticity conditions similar to their two-dimensional analogues, and also share the property that a semi-infinite subset annihilates the vacuum.


2006 ◽  
Vol 182 (2) ◽  
pp. 343-347 ◽  
Author(s):  
Jeremy N. Robinson ◽  
Andrew Coy ◽  
Robin Dykstra ◽  
Craig D. Eccles ◽  
Mark W. Hunter ◽  
...  

1998 ◽  
Vol 134 (2) ◽  
pp. 355-359 ◽  
Author(s):  
Tilo Fritzhanns ◽  
Siegfried Hafner ◽  
Dan E. Demco ◽  
Hans W. Spiess ◽  
Frank H. Laukien

ChemInform ◽  
1988 ◽  
Vol 19 (28) ◽  
Author(s):  
H. KESSLER ◽  
M. GEHRKE ◽  
C. GRIESINGER

1973 ◽  
Vol 43 (1) ◽  
pp. 39-41 ◽  
Author(s):  
Le Dang Khoi ◽  
P. Veillet ◽  
J-P. Renard ◽  
C. Jacoboni

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