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Group Theoretical Methods in Physics [[electronic resource] ] : Proceedings of the XVIII International Colloquium Held at Moscow, USSR, 4-9 June 1990 / / edited by Victor V. Dodonov, Vladimir I. Man'ko
| Group Theoretical Methods in Physics [[electronic resource] ] : Proceedings of the XVIII International Colloquium Held at Moscow, USSR, 4-9 June 1990 / / edited by Victor V. Dodonov, Vladimir I. Man'ko |
| Edizione | [1st ed. 1991.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1991 |
| Descrizione fisica | 1 online resource (XVII, 601 p.) |
| Disciplina | 530.1/522 |
| Collana | Lecture Notes in Physics |
| Soggetto topico |
Quantum physics
Quantum computers Spintronics Quantum Physics Quantum Information Technology, Spintronics |
| ISBN | 3-540-47363-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introductory talk -- Creating “clouds” -- Opening remarks -- Laudatio for Professor Francesco Iachello -- Symmetry -- Dynamical and fundamental symmetries in particles and nuclei -- Spectrum generating groups — idea and application -- The role of dynamic symmetries and supersymmetries in nuclear physics -- SO(3,2) for oscillator and hydrogenlike systems -- Conformal groups in the Kepler problem -- Potential group in optics: The maxwell fish-eye system -- Transition to chaos in hadronic systems -- The dynamical group of Riemann ellipsoids -- An algebraic model of cluster states in odd-mass nuclei -- Compact to noncompact transition and nuclear collective levels -- $$\overline {SL(3,R)} \times T^6$$ as a nuclear collective motion group -- Exceptional groups and the interacting boson approximation -- An overview of quantum groups -- Integrable theories, Yang-Baxter algebras and quantum groups: An overview -- Finite - dimensional irreducible representations of the quantum superalgebra Uq[gl(n/I)] -- Projection operator method and Q-analog of angular momentum theory -- Quantum algebras and symmetries of dynamical systems -- Coulomb gas realization of simple quantum groups -- String theory, quantum gravity and quantum groups -- q-Oscillator realizations of the quantum superalgebras sl q (m, n)andosp q (m, 2n) -- Relativistic oscillator = q-oscillator -- Some aspects of the angular momentum coefficients in SUq (2) -- Contractions and analytic continuations of the irreducible representations of the quantum algebra suq(2) -- Universal R-matrix for quantum supergroups -- Recent progress in non-commutative geometry -- Algebraic gauge theory and noncommutative geometry -- Classification of the symmetries of ordinary differential equations -- Conditional symmetries and conditional integrability for nonlinear systems -- Cohomology and symmetry of differential equations -- Derivations of semi-basic forms and symmetries of second-order equations -- Hamilton-Jacobi equations in SU(2, 2) homogeneous spaces -- Linearization of PDEs -- Perturbed nonlinear equations: Application to the Korteweg-Devries equation considered as a perturbed Euler equation -- Algebraic version of the soliton perturbation theory -- Extended chiral conformal models with a quantum group symmetry -- Conformal reduction of WZNW theories and W-algebras -- The resurrection of a forgotten symmetry: De broglie' s symmetry -- Relativistic invariance of a many body system with a Dirac oscillator interaction -- Derivation of the geometrical berry phase -- Gauge translations and the Berry phase -- Geometric quantization: Regular representations and modular algebras -- Geometro-stochastic quantization and quantum geometry -- SO(4,1)-Coherent states and the geometro-stochastic quantization of a gauge theory for extended objects -- Covariant quantum mechanics and the symmetries of its radiation fields -- Double stratonovich - Hubbard trick and novel path integral for a system of interacting fermions -- Nonrelativistic limit of superfield theories -- Remarks on the supersymmetric WKB quantization formula -- Particle in a self-dual monopole field: example of supersymmetric quantum mechanics -- Supersymmetry and electron angular momentum -- Parasupersymmetries and Lie superalgebras -- Quantum chaos: Spectra and states -- Quantum ergodicity and eigenvalue problems for plane polygons -- “Classical” in terms of general statistical models -- Temporal decoherence in Lorentz-squeezed hadrons -- Physical significance of correlated and squeezed states -- On the symmetry and dynamics of squeezed and correlated states -- Correlated States of Quantum Chain -- Interaction of weak coherent light with a system of two - level atoms in a lossless cavity -- Time dependent quantum tunnelling -- Non-spurious harmonic oscillator states with arbitrary permutational symmetry -- Symmetry analysis of the qualitative intramolecular phenomena -- Algebras of the SU(n) vector invariants and some of their applications -- Product formulas for Q-representatives -- Tensor products for affine Kac-Moody algebras -- Atypical modules of the lie superalgebra gl (m/n) -- Vector coherent state theory of the non-compact orthosymplectic superalgebras -- The composition factors of kac modules of sl(M/N) -- Clifford algebras, spinors and finite geometries -- Reducibility of Euclidean motion groups -- Software packages: Space groups and their representations -- Software packages: Transformation coefficients for space groups -- Icosahedral dissectable tilings from the root lattice D6 -- Groups with G-number parameters -- Regge Calculus with torsion -- Quasiperiodicity: Local and global aspects -- Derivative Moufang transformations -- On the explicit form of consistent anomalies -- Berry phases and Wyckoff positions for energy bands in solids -- Crystallography of quasicrystals: The problem of restoration of broken symmetry. |
| Record Nr. | UNINA-9910257449403321 |
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1991 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Group Theoretical Methods in Physics [[electronic resource] ] : Proceedings of the XVIII International Colloquium Held at Moscow, USSR, 4-9 June 1990 / / edited by Victor V. Dodonov, Vladimir I. Man'ko
| Group Theoretical Methods in Physics [[electronic resource] ] : Proceedings of the XVIII International Colloquium Held at Moscow, USSR, 4-9 June 1990 / / edited by Victor V. Dodonov, Vladimir I. Man'ko |
| Edizione | [1st ed. 1991.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1991 |
| Descrizione fisica | 1 online resource (XVII, 601 p.) |
| Disciplina | 530.1/522 |
| Collana | Lecture Notes in Physics |
| Soggetto topico |
Quantum physics
Quantum computers Spintronics Quantum Physics Quantum Information Technology, Spintronics |
| ISBN | 3-540-47363-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introductory talk -- Creating “clouds” -- Opening remarks -- Laudatio for Professor Francesco Iachello -- Symmetry -- Dynamical and fundamental symmetries in particles and nuclei -- Spectrum generating groups — idea and application -- The role of dynamic symmetries and supersymmetries in nuclear physics -- SO(3,2) for oscillator and hydrogenlike systems -- Conformal groups in the Kepler problem -- Potential group in optics: The maxwell fish-eye system -- Transition to chaos in hadronic systems -- The dynamical group of Riemann ellipsoids -- An algebraic model of cluster states in odd-mass nuclei -- Compact to noncompact transition and nuclear collective levels -- $$\overline {SL(3,R)} \times T^6$$ as a nuclear collective motion group -- Exceptional groups and the interacting boson approximation -- An overview of quantum groups -- Integrable theories, Yang-Baxter algebras and quantum groups: An overview -- Finite - dimensional irreducible representations of the quantum superalgebra Uq[gl(n/I)] -- Projection operator method and Q-analog of angular momentum theory -- Quantum algebras and symmetries of dynamical systems -- Coulomb gas realization of simple quantum groups -- String theory, quantum gravity and quantum groups -- q-Oscillator realizations of the quantum superalgebras sl q (m, n)andosp q (m, 2n) -- Relativistic oscillator = q-oscillator -- Some aspects of the angular momentum coefficients in SUq (2) -- Contractions and analytic continuations of the irreducible representations of the quantum algebra suq(2) -- Universal R-matrix for quantum supergroups -- Recent progress in non-commutative geometry -- Algebraic gauge theory and noncommutative geometry -- Classification of the symmetries of ordinary differential equations -- Conditional symmetries and conditional integrability for nonlinear systems -- Cohomology and symmetry of differential equations -- Derivations of semi-basic forms and symmetries of second-order equations -- Hamilton-Jacobi equations in SU(2, 2) homogeneous spaces -- Linearization of PDEs -- Perturbed nonlinear equations: Application to the Korteweg-Devries equation considered as a perturbed Euler equation -- Algebraic version of the soliton perturbation theory -- Extended chiral conformal models with a quantum group symmetry -- Conformal reduction of WZNW theories and W-algebras -- The resurrection of a forgotten symmetry: De broglie' s symmetry -- Relativistic invariance of a many body system with a Dirac oscillator interaction -- Derivation of the geometrical berry phase -- Gauge translations and the Berry phase -- Geometric quantization: Regular representations and modular algebras -- Geometro-stochastic quantization and quantum geometry -- SO(4,1)-Coherent states and the geometro-stochastic quantization of a gauge theory for extended objects -- Covariant quantum mechanics and the symmetries of its radiation fields -- Double stratonovich - Hubbard trick and novel path integral for a system of interacting fermions -- Nonrelativistic limit of superfield theories -- Remarks on the supersymmetric WKB quantization formula -- Particle in a self-dual monopole field: example of supersymmetric quantum mechanics -- Supersymmetry and electron angular momentum -- Parasupersymmetries and Lie superalgebras -- Quantum chaos: Spectra and states -- Quantum ergodicity and eigenvalue problems for plane polygons -- “Classical” in terms of general statistical models -- Temporal decoherence in Lorentz-squeezed hadrons -- Physical significance of correlated and squeezed states -- On the symmetry and dynamics of squeezed and correlated states -- Correlated States of Quantum Chain -- Interaction of weak coherent light with a system of two - level atoms in a lossless cavity -- Time dependent quantum tunnelling -- Non-spurious harmonic oscillator states with arbitrary permutational symmetry -- Symmetry analysis of the qualitative intramolecular phenomena -- Algebras of the SU(n) vector invariants and some of their applications -- Product formulas for Q-representatives -- Tensor products for affine Kac-Moody algebras -- Atypical modules of the lie superalgebra gl (m/n) -- Vector coherent state theory of the non-compact orthosymplectic superalgebras -- The composition factors of kac modules of sl(M/N) -- Clifford algebras, spinors and finite geometries -- Reducibility of Euclidean motion groups -- Software packages: Space groups and their representations -- Software packages: Transformation coefficients for space groups -- Icosahedral dissectable tilings from the root lattice D6 -- Groups with G-number parameters -- Regge Calculus with torsion -- Quasiperiodicity: Local and global aspects -- Derivative Moufang transformations -- On the explicit form of consistent anomalies -- Berry phases and Wyckoff positions for energy bands in solids -- Crystallography of quasicrystals: The problem of restoration of broken symmetry. |
| Record Nr. | UNISA-996466722203316 |
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1991 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||