The Experts below are selected from a list of 219 Experts worldwide ranked by ideXlab platform
Shina Tan - One of the best experts on this subject based on the ideXlab platform.
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generalized Virial Theorem and pressure relation for a strongly correlated fermi gas
Annals of Physics, 2008Co-Authors: Shina TanAbstract:Abstract For a two-component Fermi gas in the unitarity limit (i.e., with infinite scattering length), there is a well-known Virial Theorem, first shown by J.E. Thomas et al. A few people rederived this result, and extended it to few-body systems, but their results are all restricted to the unitarity limit. Here I show that there is a generalized Virial Theorem for FINITE scattering lengths. I also generalize an exact result concerning the pressure to the case of imbalanced populations.
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generalized Virial Theorem and pressure relation for a strongly correlated fermi gas
arXiv: Statistical Mechanics, 2008Co-Authors: Shina TanAbstract:For a two-component Fermi gas in the unitarity limit (ie, with infinite scattering length), there is a well-known Virial Theorem, first shown by J. E. Thomas et al, Phys. Rev. Lett. 95, 120402 (2005). A few people rederived this result, and extended it to few-body systems, but their results are all restricted to the unitarity limit. Here I show that there is a generalized Virial Theorem for FINITE scattering lengths. I also generalize an exact result concerning the pressure, first shown in cond-mat/0508320, to the case of imbalanced populations.
Christian Gérard - One of the best experts on this subject based on the ideXlab platform.
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On the Virial Theorem in Quantum Mechanics
Communications in Mathematical Physics, 1999Co-Authors: Vladimir Georgescu, Christian GérardAbstract:We review the various assumptions under which abstract versions of the quantum mechanical Virial Theorem have been proved. We point out a relationship between the Virial Theorem for a pair of operators H, A and the regularity properties of the map \(\). We give an example showing that the statement of the Virial Theorem in [CFKS] is incorrect.
Christopher A Tout - One of the best experts on this subject based on the ideXlab platform.
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modified Virial Theorem for highly magnetized white dwarfs
Monthly Notices of the Royal Astronomical Society, 2020Co-Authors: Banibrata Mukhopadhyay, Arnab Sarkar, Christopher A ToutAbstract:Generally the Virial Theorem provides a relation between various components of energy integrated over a system. This helps us to understand the underlying equilibrium. Based on the Virial Theorem we can estimate, for example, the maximum allowed magnetic field in a star. Recent studies have proposed the existence of highly magnetized white dwarfs (B-WDs), with masses significantly higher than the Chandrasekhar limit. Surface magnetic fields of such white dwarfs could be more than |$10^{9}$| G with the central magnitude several orders higher. These white dwarfs could be significantly smaller in size than their ordinary counterparts (with surface fields restricted to about |$10^9$| G). In this paper, we reformulate the Virial Theorem for non-rotating B-WDs in which, unlike in previous formulations, the contribution of the magnetic pressure to the magnetohydrostatic balance cannot be neglected. Along with the new equation of magnetohydrostatic equilibrium, we approach the problem by invoking magnetic flux conservation and by varying the internal magnetic field with the matter density as a power law. Either of these choices is supported by previous independent work and neither violates any important physics. They are useful while there is no prior knowledge of field profile within a white dwarf. We then compute the modified gravitational, thermal, and magnetic energies and examine how the magnetic pressure influences the properties of such white dwarfs. Based on our results we predict important properties of these B-WDs, which turn out to be independent of our chosen field profiles.
Jose Gaite - One of the best experts on this subject based on the ideXlab platform.
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The relativistic Virial Theorem and scale invariance
Physics-Uspekhi, 2013Co-Authors: Jose GaiteAbstract:The Virial Theorem is related to the dilatation properties of bound states. This is realized, in particular, in the Landau–Lifshitz formulation of the relativistic Virial Theorem, in terms of the trace of the energy–momentum tensor. We construct a Hamiltonian formulation of dilatations in which the relativistic Virial Theorem naturally arises as the condition of stability under dilatations. A bound state becomes scale invariant in the ultrarelativistic limit, in which its energy vanishes. However, for very relativistic bound states, scale invariance is broken by quantum effects, and the Virial Theorem must include the energy - momentum tensor trace anomaly. This quantum field theory Virial Theorem is directly related to the Callan–Symanzik equations. The Virial Theorem is applied to QED and then to QCD, focusing on the bag model of hadrons. In massless QCD, according to the Virial Theorem, of a hadron mass corresponds to quarks and gluons and to the trace anomaly.
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the relativistic Virial Theorem and scale invariance
arXiv: High Energy Physics - Theory, 2013Co-Authors: Jose GaiteAbstract:The Virial Theorem is related to the dilatation properties of bound states. This is realized, in particular, by the Landau-Lifshitz formulation of the relativistic Virial Theorem, in terms of the trace of the energy-momentum tensor. We construct a Hamiltonian formulation of dilatations in which the relativistic Virial Theorem naturally arises as the condition of stability against dilatations. A bound state becomes scale invariant in the ultrarelativistic limit, in which its energy vanishes. However, for very relativistic bound states, scale invariance is broken by quantum effects and the Virial Theorem must include the energy-momentum tensor trace anomaly. This quantum field theory Virial Theorem is directly related to the Callan-Symanzik equations. The Virial Theorem is applied to QED and then to QCD, focusing on the bag model of hadrons. In massless QCD, according to the Virial Theorem, 3/4 of a hadron mass corresponds to quarks and gluons and 1/4 to the trace anomaly.
Vladimir Georgescu - One of the best experts on this subject based on the ideXlab platform.
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On the Virial Theorem in Quantum Mechanics
Communications in Mathematical Physics, 1999Co-Authors: Vladimir Georgescu, Christian GérardAbstract:We review the various assumptions under which abstract versions of the quantum mechanical Virial Theorem have been proved. We point out a relationship between the Virial Theorem for a pair of operators H, A and the regularity properties of the map \(\). We give an example showing that the statement of the Virial Theorem in [CFKS] is incorrect.
