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11.
PAVINDER SINGH 《Proceedings Mathematical Sciences》2011,121(3):259-265
The aim of this article is to study the homological properties of deficiently extremal Gorenstein algebras. We prove that
if R/I is an odd deficiently extremal Gorenstein algebra with pure minimal free resolution, then the codimension of R/I must be odd. As an application, the structure of pure minimal free resolution of a nearly extremal Gorenstein algebra is
obtained. 相似文献
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GUPTA R. K SINGH K 《偏微分方程(英文版)》2009,22(2):97-110
The Lie-group formalism is applied to investigate the symmetries of the modified Boussinesq system with variable coefficients. We derived the infinitesimals and the admissible forms of the coefficients that admit the classical symmetry group. The reduced systems of ordinary differential equations deduced from the optimal system of subalgebras are further studied and some exact solutions are obtained. 相似文献
18.
We study electromagnetically-induced transparency (EIT) of a probe field in a Doppler- broadened five-level K-type atomic system driven by three strong laser (coupling) fields. Effect of wave-vector mismatch occurring when the coupling field frequency is higher than that of the probe field frequency (λ c < λ p) are considered. Under the influence of the coherent coupling fields, the steady-state linear susceptibility of the probe laser shows that the system can have single or double or triple EIT windows depending on the amplitude and detuning of the coupling fields. 相似文献
19.
P SUGATHAN A JHINGAN K S GOLDA T VARUGHESE S VENKATARAMANAN N SANEESH V V SATYANARAYANA S K SUMAN J ANTONY RUBY SHANTI K SINGH S K SAINI A GUPTA A KOTHARI P BARUA RAJESH KUMAR J ZACHARIAS R P SINGH B R BEHERA S K MANDAL I M GOVIL R K BHOWMIK 《Pramana》2014,83(5):807-815
The characteristics and performance of the newly commissioned neutron detector array at IUAC are described. The array consists of 100 BC501 liquid scintillators mounted in a semi-spherical geometry and are kept at a distance of 175 cm from the reaction point. Each detector is a 5″ × 5″ cylindrical cell coupled to 5″ diameter photomultiplier tube (PMT). Signal processing is realized using custom-designed home-made integrated electronic modules which perform neutron – gamma discrimination using zero cross timing and time-of-flight (TOF) technique. Compact custom built high voltage power supply developed using DC–DC converters are used to bias the detector. The neutrons are recorded in coincidence with fission fragments which are detected using multi-wire proportional counters mounted inside a 1 m diameter SS target chamber. The detectors and electronics have been tested off-line using radioactive sources and the results are presented. 相似文献
20.
A simple form for nucleon–nucleon (NN) potential is introduced as an alternative to the popular M3Y form using the relativistic mean field theory (RMFT) with the non-linear terms in σ-meson for the first time. In contrast to the M3Y form, the new interaction becomes exactly zero at a finite distance and the expressions are analogous with the M3Y terms. Further, its applicability is examined by the study of proton and cluster radioactivity by folding it with the RMFT-densities of the cluster and daughter nuclei to obtain the optical potential in the region of proton-rich nuclides just above the double magic core100Sn. The results obtained were found comparable with the widely used M3Y NN interactions. 相似文献