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By
Bali, Raj; Ali, Mahbub
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10 Citations
A magnetized cylindrically symmetric universe with two degrees of freedom in which the free gravitational field is Petrov type I degenerate, is obtained. The magnetic field is due to an electric current produced along the xaxis. The distribution consists of an electrically neutral perfect fluid with an infinite electrical conductivity. The behaviour of the model when magnetic field tends to zero and other physical aspects of the model are also discussed.
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By
Mamta; Vishwamittar
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1 Citations
Energy eigenvalues and 〈x^{2}〉_{n} for the oscillators having potential energyV(x)=(ω^{2}x^{2}/2)+λ<x^{2r}>x^{2s} have been determined for various values ofλ, r, s andn using renormalized hypervirialPadé scheme. In general, the results show an improvement over the findings of earlier workers. Variation of the evaluated quantities and of the renormalization parameter withλ, r, s andn has been discussed. In addition, this potential has been employed as an illustrative example of the applicability of alternative formalism of perturbation theory developed by Kim and Sukhatme (J. Phys.A25 647 (1992)).
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By
Pimpale, Ashok
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Quantum motion of a single particle over a finite onedimensional spatial domain is considered for the generalized four parameter infinity of boundary conditions (GBC) of Carreauet al [1]. The boundary conditions permit complex eigenfunctions with nonzero current for discrete states. Explicit expressions are obtained for the eigenvalues and eigenfunctions. It is shown that these states go over to plane waves in the limit of the spatial domain becoming very large. Dissipation is introduced through SchrödingerLangevin (SL) equation. The space and time parts of the SL equation are separated and the time part is solved exactly. The space part is converted to nonlinear ordinary differential equation. This is solved perturbatively consistent with the GBC. Various special cases are considered for illustrative purposes.
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By
Jayaraj, S Edwin; Ramakrishnan, V; Perumal, S; Gurunathan, M
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Intense Raman scattering by acetophenone molecules adsorbed on colloidal silver particles is reported. Greater enhancement is observed for the ring breathing and ring stretching vibrations. The orientation determination analysis shows that the adsorption of acetophenone molecule is neither through its coordinating site nor through itsπorbital system and there is no strong chemical interaction. However significant intensity enhancement for several vibrations suggests that the contribution is from classical electromagnetic field on the rough surface.
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By
Goel, Alpana; Jain, Ashok K
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5 Citations
The phenomenon of signature inversion in the doublyodd nuclei^{152}Eu and^{156}Tb is understood within the framework of a twoquasiparticle plus rotor model. It is shown that theh_{9/2}:1/2[541] proton orbital plays a crucial role in reproducing this phenomenon.
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By
LópezBonilla, José L; NúñezYépez, H N
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We show that if a 4spacetimeV_{4} can be embedded intoE_{5} then, ifb_{ij}is the second fundamental form tensor associated withV_{4}, the quantity (traceb)·b_{ij}^{/−1}
depends only on intrinsic geometric properties of the spacetime. Such fact is used to obtain a necessary condition for the embedding of aV_{4} intoE_{5}.
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By
Mohanachandran, G; Kuriakose, V C; Joseph, K Babu
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1 Citations
A nonlinear quintic Schrödinger equation (NLQSE) is developed and studied in detail. It is found that the NLQSE has soliton solutions, the stability of which is analysed using variational method. It is also found that the soliton pulse width in the materials supporting NLQSE is small compared to soliton pulse width of the commonly studied nonlinear cubic Schrödinger equation (NLCSE).
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