The Experts below are selected from a list of 2496 Experts worldwide ranked by ideXlab platform
Tadashi Toyoda - One of the best experts on this subject based on the ideXlab platform.
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QUANTUM FIELD THEORETICAL FORMULATION OF EQUATION OF STATE FOR FERMION BOSON MIXTURES
International Journal of Modern Physics B, 2003Co-Authors: Daisuke Anma, Ken-ichi Takiuchi, Tadashi ToyodaAbstract:Using a quantum field theoretical Canonical Generator for the scale transformation of the second quantized Schrodinger fields describing a mixture of Fermion and Boson systems, the equation of state is derived. The derivation is based on the equal-time Canonical commutation relations of the field operators and no approximation is employed. The result can be applied to liquid 3He–4He mixture.
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Gauge invariance and the virial theorem for the quantized Schrödinger field
Physics Letters A, 1999Co-Authors: Ken-ichi Takiuchi, Tadashi ToyodaAbstract:Abstract A gauge invariant Canonical Generator for the scale transformation of the quantized Schrodinger field is proposed on the basis of the gauge invariance of the virial theorem.
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QUANTUM FIELD THEORETICAL REFORMULATION OF THE VIRIAL THEOREM
Physica A-statistical Mechanics and Its Applications, 1998Co-Authors: Tadashi Toyoda, Ken-ichi TakiuchiAbstract:A rigorous reformulation of the virial theorem for an interacting quantum many-body system with arbitrary spin is presented. The derivation is based on the previously obtained field theoretical Canonical Generator for the infinitesimal scale transformation of the second quantized Schrodinger field [Phys. Rev. A 48 (1993) 3492]. As to spin-dependence of the particle interaction, the new form brings about a relevant additional contribution to the second virial coefficient.
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Canonical Generator of conformal transformations in nonrelativistic quantum many-body systems at finite temperatures.
Physical review. A Atomic molecular and optical physics, 1993Co-Authors: Tadashi ToyodaAbstract:A Canonical Generator for the conformal transformation of the second quantized Schrodinger field in the grand Canonical ensemble is obtained. Using this Generator, the finite-temperature generalized Ward-Takahashi relation for Matsubara Green functions formulated by the present author [Ann. Phys. (N.Y.) 173, 226 (1987)] is extended to include conformal transformations. The form of the Generator is shown to be similar to the electromagnetic interaction Hamiltonian of the charged Schrodinger particle
Chi-chao Chao - One of the best experts on this subject based on the ideXlab platform.
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ISIT - Canonical convolutional encoders for unequal error protection
2008 IEEE International Symposium on Information Theory, 2008Co-Authors: Chung-hsuan Wang, Chi-chao ChaoAbstract:In this paper, Canonical convolutional encoders are studied for unequal error protection (UEP) from an algebraic theoretical viewpoint. We show that for any convolutional code there exists at least a Canonical Generator matrix which has the greatest separation vector, and hence the optimal UEP capability, among all Canonical ones. A procedure for obtaining such desirable Generator matrices is also proposed.
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Further results on unequal error protection of convolutional codes
2000 IEEE International Symposium on Information Theory (Cat. No.00CH37060), 1Co-Authors: Chung-hsuan Wang, Chi-chao ChaoAbstract:In this paper, we concentrate on the study of combining the optimality with respect to unequal error protection and canonicity of Generator matrices for convolutional codes. The transformation which can keep the optimality of Generator matrices is constructed, based on which a procedure for obtaining a basic and optimal Generator matrix with the smallest external degree is also proposed. Moreover, necessary and sufficient conditions for a Canonical Generator matrix whose separation vector is the greatest among all Canonical Generator matrices are given. Finally, the existence of the greatest separation vector among all Canonical Generator matrices is proved for some convolutional codes.
Chung-hsuan Wang - One of the best experts on this subject based on the ideXlab platform.
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Further Exploration of Convolutional Encoders for Unequal Error Protection and New UEP Convolutional Codes
IEEE Transactions on Information Theory, 2016Co-Authors: Hung-hua Tang, Chung-hsuan Wang, Mao-chao LinAbstract:In this paper, the unequal error protection (UEP) capability of convolutional encoders, in terms of the separation vector, is studied from an algebraic viewpoint. A simple procedure is presented for constructing a Generator matrix, which is basic and has the largest separation vector for every convolutional code. Such a Generator matrix would be desirable, since the corresponding encoder not only achieves UEP optimality, but also avoids undesired catastrophic error propagation. In addition, Canonical Generator matrices, which are both basic and reduced, are even more preferable for encoding, since they attain the lowest complexity for Viterbi decoding. However, the direct transformation from a UEP-optimal Generator matrix to a Canonical Generator matrix may come with an unexpected loss of the separation vector. We also propose a specific type of transformation matrix that reduces the external degrees of the Generator matrices, from which Canonical Generator matrices can be constructed that include the mitigated degradation of the separation vector. Finally, beneficial UEP convolutional codes that achieve the maximum free distances for the given code parameters are provided.
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ISIT - Canonical convolutional encoders for unequal error protection
2008 IEEE International Symposium on Information Theory, 2008Co-Authors: Chung-hsuan Wang, Chi-chao ChaoAbstract:In this paper, Canonical convolutional encoders are studied for unequal error protection (UEP) from an algebraic theoretical viewpoint. We show that for any convolutional code there exists at least a Canonical Generator matrix which has the greatest separation vector, and hence the optimal UEP capability, among all Canonical ones. A procedure for obtaining such desirable Generator matrices is also proposed.
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Further results on unequal error protection of convolutional codes
2000 IEEE International Symposium on Information Theory (Cat. No.00CH37060), 1Co-Authors: Chung-hsuan Wang, Chi-chao ChaoAbstract:In this paper, we concentrate on the study of combining the optimality with respect to unequal error protection and canonicity of Generator matrices for convolutional codes. The transformation which can keep the optimality of Generator matrices is constructed, based on which a procedure for obtaining a basic and optimal Generator matrix with the smallest external degree is also proposed. Moreover, necessary and sufficient conditions for a Canonical Generator matrix whose separation vector is the greatest among all Canonical Generator matrices are given. Finally, the existence of the greatest separation vector among all Canonical Generator matrices is proved for some convolutional codes.
B. Cvetković - One of the best experts on this subject based on the ideXlab platform.
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Entropy in Poincaré gauge theory: Hamiltonian approach
Physical Review D, 2019Co-Authors: Milutin Blagojevic, B. CvetkovićAbstract:The Canonical Generator $G$ of local symmetries in Poincare gauge theory is constructed as an integral over a spatial section $\Sigma$ of spacetime. Its regularity (differentiability) on the phase space is ensured by adding a suitable surface term, an integral over the boundary of $\Sigma$ at infinity, which represents the asymptotic Canonical charge. For black hole solutions, $\Sigma$ has two boundaries, one at infinity and the other at horizon. It is shown that the Canonical charge at horizon defines entropy, whereas the regularity of $G$ implies the first law of black hole thermodynamics.
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Near horizon OTT black hole asymptotic symmetries and soft hair
Chinese Physics C, 2019Co-Authors: B. Cvetković, Dejan SimicAbstract:We study the near horizon geometry of both static and stationary extremal Oliva Tempo Troncoso (OTT) black holes. For each of these cases, a set of consistent asymptotic conditions is introduced. The Canonical Generator for the static configuration is shown to be regular. For the rotating OTT black hole, the asymptotic symmetry is described by the time reparametrization, the chiral Virasoro and centrally extended $u(1)$ Kac-Moody algebras.
Milutin Blagojevic - One of the best experts on this subject based on the ideXlab platform.
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Entropy in Poincaré gauge theory: Hamiltonian approach
Physical Review D, 2019Co-Authors: Milutin Blagojevic, B. CvetkovićAbstract:The Canonical Generator $G$ of local symmetries in Poincare gauge theory is constructed as an integral over a spatial section $\Sigma$ of spacetime. Its regularity (differentiability) on the phase space is ensured by adding a suitable surface term, an integral over the boundary of $\Sigma$ at infinity, which represents the asymptotic Canonical charge. For black hole solutions, $\Sigma$ has two boundaries, one at infinity and the other at horizon. It is shown that the Canonical charge at horizon defines entropy, whereas the regularity of $G$ implies the first law of black hole thermodynamics.