2,146 Result(s)
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Article
A commutativity theorem of partial differential operators
Letu=u(x, t) be a function ofx andt, andu i =D i u,D=d/dx,i=0, 1, 2, ..., be its derivatives with respect tox. Denote byW
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Article
Entropy of self-gravitating radiation
We examine the entropy of self-gravitating radiation confined to a spherical box of radiusR in the context of general relativity. We expect that configurations (i.e., initial data) which extremize total entropy w...
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Article
Approximate solutions for theR +R 2 theories of gravitation: Torsion components
We search for vacuum solutions of a spherically symmetric and static field for the nineparameterR+R 2 gravitational theories in a weak-field limit. In this paper approximate solutions of torsion are obtained.
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Chapter and Conference Paper
Fluorescence Enhancement of Rhodamine 6G Molecules in TiO2 Semiconductor Colloid
Since the discovery of Surface-Enhanced Raman Scattering(1) much effort has been devoted to understanding the nature of the interaction of molecules with rough surfaces. Several theoretical models have been sugge...
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Chapter
Collective Flow of Charged Fragments and Neutrons from Bevalac Experiment 848H
Bevalac Experiment 848H was designed to probe the nuclear equation-of-state by measuring triple-differential cross sections dσ/d cosθ d(ϕ - ϕ R) dY for neutrons from high-multiplicity collisions o...
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Chapter
Meson and Quark Degrees of Freedom in Nuclear Matter and Finite Nuclei
Since the middle of fifties, people had tried to build a fundamental nuclear theory on the basis of nonrelativistic quantum many-body theory for nucleons interacting each other by two-body nuclear forces. But ...
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Chapter
Quantum Mechanics of Black Holes in Curved Space-Time
In quantum theory, all physical fields are described on a fundamental level by the principle of quantum theory. In the Heisenberg picture, the quantum states of systems are represented by vector in a Hilbert s...
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Article
Quantum group invariants and link polynomials
A general method is developed for constructing quantum group invariants and determining their eigenvalues. Applied to the universalR-matrix this method leads to the construction of a closed formula for link polyn...
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Article
How to find the Lax pair from the Yang-Baxter equation
We show explicitly how to construct the quantum Lax pair from the Yang-Baxter equation. We demonstrate the new method by applying it to the Heisenberg XYZ model.
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Book
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Chapter
Physics of Black Holes: Classical, Quantum and Astrophysical
We discuss the classical, quantum and astrophysical black hole physics. Black hole thermodynamics and entropy production from the collapse process are also discussed.
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Article
Is there evidence for torsion?
Under the assumption of a pulsar's magnetic field originating from the net polarized spin of its neutrons, and by using the post-Newtonian approximated torsion in the fifth order in (v/c), the spin precession ari...
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Article
Inertial range scaling of laminar shear flow as a model of turbulent transport
Asymptotic scaling behavior, characteristic of the inertial range, is obtained for a fractal stochastic system proposed as a model for turbulent transport.
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Article
A new coordinate condition in general relativity
In this paper, a new coordinate condition in general relativity is proposed. This coordinate condition is just Euler's equations of the harmonic map theory. It is shown that in case of rectangular coordinates ...
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Chapter
Quantum Origin of Noise and Fluctuations in Cosmology
We address two basic issues in the theory of galaxy formation from fluctuations of quantum fields: 1) the nature and origin of noise and fluctuations and 2) the conditions for using a classical stochastic equa...
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Article
Quantum invariants at the sixth root of unity
A general topological formula is given for theSU (2) quantum invariant of a 3-manifoldM at the sixth root of unity. It is expressed in terms of the homology, Witt invariants and signature defects of the various 2...
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Article
Convergence of the Godunov scheme for a simplified one-dimensional hydrodynamic model for semiconductor devices
Convergence of approximate solutions derived by the Godunov scheme for a simplified one-dimensional hydrodynamic model for semiconductor devices is established by using the compensated compactness method. A gl...
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Chapter
Compression, Expansion, and Freeze-Out in Nucleus-Nucleus Collisions at the AGS
In the following we will present selected aspects of recent data on central nucleus-nucleus collisions taken by the E814/E877 collaboration at the BNL-AGS. We will first demonstrate that stop** is nearly com...
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Chapter
R-W Cosmological Solution for Polytropes
Einstein’s theory of general relativity has given modern physics a consistent and fruitful framwork in which to study cosmology.
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Article
On the finite-time behaviour for nonlinear Schrödinger equations
Consider the nonlinear Schrödinger equationu t −iΔu=f(u). Forf(u)=±|u|1+p , ±i|u|1+p , ±u|u| p (p>0), and the Dirichlet boundary or nonlinear ...