Volume 8, Issue 6
June 1977, pages 489-562
pp 489-494 June 1977 Solids
The Born repulsive parameters and dielectric behaviour of alkali halides
O P Sharma H P Sharma Jai Shanker
The dependence of the Born repulsive parameters of alkali halides on elastic and dielectric data has been discussed. The values of hardness parameter in alkali halides have been recalculated using the revised values of van der Waals energies. It is observed that the two sets of hardness parameter corresponding to elastic and dielectric data differ from each other but become compatible if an effective charge parameter for the ions is introduced. Its usefulness has been demonstrated by calculating the strain derivative of static dielectric constant of alkali halides.
pp 495-499 June 1977 Solids
Temperature dependence of quadrupole interaction of^{99}Ru in Zn
The quadrupole interaction (QI) of^{99}Ru as a dilute impurity in Zn, Cd and Sn lattices was studied by using time differential perturbed angular correlation technique. The electric field gradients calculated from the measured quadrupole interaction frequencies at room temperature are 5.14 × 10^{17} volts/cm^{2} for^{99}RuZn, 4.58 × 10^{17} volts/cm^{2} for^{99}RuCd and 2.87 × 10^{99} volts/cm^{2} for^{99}RuSn. The temperature dependence of the QI studied in the case^{99}RuZn is similar to that of^{117}InZn.
pp 500-511 June 1977 General Relativity
Dirac equation in Kerr space-time
The weak field-low velocity approximation of Dirac equation in Kerr space-time is investigated. The interaction terms admit of an interpretation in terms of a ‘dipole-dipole’ interaction in addition to coupling of spin with the angular momentum of the rotating source. The gravitational gyro-factor for spin is identified. The charged case (Kerr-Newman) is studied using minimal prescription for electromagnetic coupling in the locally inertial frame and to the leading order the standard electromagnetic gyro-factor is retrieved. A first order perturbation calculation of the shift of the Schwarzschild energy level yields the main interesting result of this work: the anomalous Zeeman splitting of the energy level of a Dirac particle in Kerr metric.
pp 512-517 June 1977 General Relativity
The Kerr metric in cosmological background
A metric satisfying Einstein’s equations is given which in the vicinity of the source reduces to the well-known Kerr metric and which at large distances reduces to the Robertson-Walker metric of a homogeneous cosmological model. The radius of the event horizon of the Kerr black hole in the cosmological background is found out.
pp 518-523 June 1977 Nuclear And Particle Physics
The U_{3}(W)-gauge theory III: Atomic physics parity-violation
It is shown how a slight natural generalization of the mechanism of the spontaneous gauge symmetry breaking in the U_{3}(W) gauge theory (Pandit 1976) can accommodate the degree of parity-violation in atomic physics suggested by some recent experiments, along with the neutral current processes involving the neutrinos.
pp 524-532 June 1977 Nuclear And Particle Physics
SU (8) mass relations amongJ^{P}=1/2^{+} and 3/2^{+} baryons
Mass relations among charmed and uncharmed baryons belonging to20 and20′ multiplets of SU(4) are derived in the framework of SU(8) symmetry, Spin singlet mass breaking interaction is found to give unsatisfactory results. Second order effects and spin triplet mass breaking interactions are studied to improve the situation.
pp 533-540 June 1977 Nuclear And Particle Physics
In this paper we have analysed and restricted the freedom of constructing gauge models of Pais type, based on the symmetry group O(4) × U(1) using the latest experimental data from neutrino reactions. The hadrons are made out of the fractionally charged Gell-Mann-Zweig quarks. The left-handed quarks and leptons are restricted to (a) 4-vector (b) 4-spinor and (c) adjoint representations of O(4). The right-handed quarks and leptons are taken as scalars of O(4). It is found that the model based on 4-spinorL-leptons and 4-spinorL-quarks agrees the best with the known phenomenology of weak interactions.
pp 541-544 June 1977 experimental Techniques And Instrumentation
Applications of double exposure holography are described for interferometric analysis of motion which is superposition of three sinusoidal vibrations. The technique requires pre-information of the angular frequencies and the initial phases of the three components. The method is applicable if some conditions regarding the angular frequencies and the phases of the component motions can be met with.
pp 545-562 June 1977 Mathematical Physics
Tensor product composition of algebras in Bose and Fermi canonical formalism
We consider a graded algebra with two products (σ, α) over anε-factor commutation. One of the products (σ) isε-commutative, but, in general non-associative; and the other (α) is a graded Lieε-product and a gradedε-derivative with respect to the first (σ). Using the obvious mathematical condition, namely—the tensor product of two graded algebras with the sameε-factors is another with the sameε-factor, we determine the complete structure of a two-product (σ, α) graded algebra.
When theε-factors are taken to be unity and the gradation structure is ignored, we recover the algebras of the physical variables of classical and quantum systems, considered by Grgin and Petersen.
With the retention of the gradation structure and the possible choice of two ε-factors we recover the algebras of the canonical formalism of boson and fermion systems for the above classical and quantum theories. We also recover in this case the algebra of anticommutative classical systems considered by Martin along with its quantum analogue.
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