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Entropy and the quantum : Arizona School of Analysis with Applications, March 16-20, 2009, University of Arizona / / Robert Sims, Daniel Ueltschi, editors
| Entropy and the quantum : Arizona School of Analysis with Applications, March 16-20, 2009, University of Arizona / / Robert Sims, Daniel Ueltschi, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2010] |
| Descrizione fisica | 1 online resource (216 p.) |
| Disciplina | 530.12 |
| Collana | Contemporary mathematics |
| Soggetto topico | Quantum entropy |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-8208-2
0-8218-5853-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""4.2. The von Neumann Double Commutant Theorem""""4.3. Properties of the conditional expectation""; ""4.4. Pinching, conditional expectations, and the Operator Jensen Inequality""; ""5. Tensor products""; ""5.1. Basic definitions and elementary properties of tensor products""; ""5.2. Tensor products and inner products""; ""5.3. Tensor products of matrices""; ""5.4. The partial trace""; ""5.5. Ando's identity""; ""6. Lieb's Concavity Theorem and related results""; ""6.1. Lieb's Concavity Theorem""; ""6.2. Ando's Convexity Theorem""
""6.3. Lieb's Concavity Theorem and joint convexity of the relative entropy"" |
| Record Nr. | UNINA-9910479999403321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2010] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Entropy and the quantum : Arizona School of Analysis with Applications, March 16-20, 2009, University of Arizona / / Robert Sims, Daniel Ueltschi, editors
| Entropy and the quantum : Arizona School of Analysis with Applications, March 16-20, 2009, University of Arizona / / Robert Sims, Daniel Ueltschi, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2010] |
| Descrizione fisica | 1 online resource (216 p.) |
| Disciplina | 530.12 |
| Collana | Contemporary mathematics |
| Soggetto topico | Quantum entropy |
| ISBN |
0-8218-8208-2
0-8218-5853-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- List of Participants -- Outline of Quantum Mechanics -- 1. The setting for quantum mechanics -- 2. The Schrödinger equation -- 3. Self-adjoint operators -- 4. The role of Planck's constant -- 5. Spin and statistics -- 6. Fundamental structures of quantum mechanics -- Inequalities for Schrödinger Operators and Applications to the Stability of Matter Problem -- Trace Inequalities and Quantum Entropy: An Introductory Course -- 1. Introduction -- 2. Operator convexity and monotonicity -- 3. The joint convexity of certain operator functions -- 4. Projections onto *-subalgebras and convexity inequalities -- 5. Tensor products -- 6. Lieb's Concavity Theorem and related results -- 7. Lp norms for matrices and entropy inequalities -- 8. Brascamp-Lieb type inequalities for traces -- Acknowledgements -- References -- Lieb-Robinson Bounds in Quantum Many-Body Physics -- Remarks on the Additivity Conjectures for Quantum Channels -- On the Static and Dynamical Collapse of White Dwarfs -- |
| Record Nr. | UNINA-9910788632803321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2010] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Entropy and the quantum : Arizona School of Analysis with Applications, March 16-20, 2009, University of Arizona / / Robert Sims, Daniel Ueltschi, editors
| Entropy and the quantum : Arizona School of Analysis with Applications, March 16-20, 2009, University of Arizona / / Robert Sims, Daniel Ueltschi, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2010] |
| Descrizione fisica | 1 online resource (216 p.) |
| Disciplina | 530.12 |
| Collana | Contemporary mathematics |
| Soggetto topico | Quantum entropy |
| ISBN |
0-8218-8208-2
0-8218-5853-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- List of Participants -- Outline of Quantum Mechanics -- 1. The setting for quantum mechanics -- 2. The Schrödinger equation -- 3. Self-adjoint operators -- 4. The role of Planck's constant -- 5. Spin and statistics -- 6. Fundamental structures of quantum mechanics -- Inequalities for Schrödinger Operators and Applications to the Stability of Matter Problem -- Trace Inequalities and Quantum Entropy: An Introductory Course -- 1. Introduction -- 2. Operator convexity and monotonicity -- 3. The joint convexity of certain operator functions -- 4. Projections onto *-subalgebras and convexity inequalities -- 5. Tensor products -- 6. Lieb's Concavity Theorem and related results -- 7. Lp norms for matrices and entropy inequalities -- 8. Brascamp-Lieb type inequalities for traces -- Acknowledgements -- References -- Lieb-Robinson Bounds in Quantum Many-Body Physics -- Remarks on the Additivity Conjectures for Quantum Channels -- On the Static and Dynamical Collapse of White Dwarfs -- |
| Record Nr. | UNINA-9910821760203321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2010] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Entropy and the quantum II : Arizona School of Analysis with Applications, March 15-19, 2010, University of Arizona / / Robert Sims, Daniel Ueltschi, editors
| Entropy and the quantum II : Arizona School of Analysis with Applications, March 15-19, 2010, University of Arizona / / Robert Sims, Daniel Ueltschi, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2011] |
| Descrizione fisica | 1 online resource (234 p.) |
| Disciplina | 530.12 |
| Collana | Contemporary mathematics |
| Soggetto topico | Quantum entropy |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-8231-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Quantum Heisenberg Models and their Probabilistic Representations""""1. Introduction""; ""1.1. Guide to notation""; ""2. Hilbert space, spin operators, Heisenberg Hamiltonian""; ""2.1. Graphs and Hilbert space""; ""2.2. Spin operators""; ""2.3. Hamiltonians and magnetization""; ""2.4. Gibbs states and free energy""; ""2.5. Symmetries""; ""3. Stochastic representations""; ""3.1. Poisson edge process, cycles and loops""; ""3.2. Duhamel expansion""; ""3.3. Tóth's representation of the ferromagnet""; ""3.4. Aizenman-Nachtergaele's representation of the antiferromagnet""
""4. Thermodynamic limit and phase transitions""""4.1. Thermodynamic limit""; ""4.2. Ferromagnetic phase transition""; ""4.3. Antiferromagnetic phase transition"" |
| Record Nr. | UNINA-9910479927303321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2011] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Entropy and the quantum II : Arizona School of Analysis with Applications, March 15-19, 2010, University of Arizona / / Robert Sims, Daniel Ueltschi, editors
| Entropy and the quantum II : Arizona School of Analysis with Applications, March 15-19, 2010, University of Arizona / / Robert Sims, Daniel Ueltschi, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2011] |
| Descrizione fisica | 1 online resource (234 p.) |
| Disciplina | 530.12 |
| Collana | Contemporary mathematics |
| Soggetto topico | Quantum entropy |
| ISBN | 0-8218-8231-7 |
| Classificazione | 15B5235P1535Q2060B1260K3581Q1082B1082B4482C1082C40 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Kinetic theory and the Kac Master equation / Eric Carlen, Maria C. Carvalho and Michael Loss -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10908) Isoperimetric inequalities for eigenvalues of the Laplacian / Rafael D. Benguria -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10909) Max-to-mean ratio estimates for the fundamental eigenfunction of the Dirichlet Laplacian / Najoua Gamara, Abdelhalim Hasnaoui and Lotfi Hermi -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10910) An introduction to the mathematics of Anderson localization / Günter Stolz -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10911) Schrödinger operators with potential $V(n)=n{̂-\gamma }\cos (2\pi n{̂\rho })$ / Helge Krüger -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10912) Random unitary models and their localization properties / Alain Joye -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10913) Universality of correlations for random analytic functions / Shannon Starr -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10914) A Wegner estimate for Wigner matrices / Anna Maltsev and Benjamin Schlein -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10915) Lieb-Robinson bounds and existence of the thermodynamic limit for a class of irreversible quantum dynamics / Bruno Nachtergaele, Anna Vershynina and Valentin A. Zagrebnov -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10916) Quantum Heisenberg models and their probabilistic representations / Christina Goldschmidt, Daniel Ueltschi and Peter Windridge -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10917) |
| Record Nr. | UNINA-9910788635703321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2011] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Entropy and the quantum II : Arizona School of Analysis with Applications, March 15-19, 2010, University of Arizona / / Robert Sims, Daniel Ueltschi, editors
| Entropy and the quantum II : Arizona School of Analysis with Applications, March 15-19, 2010, University of Arizona / / Robert Sims, Daniel Ueltschi, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2011] |
| Descrizione fisica | 1 online resource (234 p.) |
| Disciplina | 530.12 |
| Collana | Contemporary mathematics |
| Soggetto topico | Quantum entropy |
| ISBN | 0-8218-8231-7 |
| Classificazione | 15B5235P1535Q2060B1260K3581Q1082B1082B4482C1082C40 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Kinetic theory and the Kac Master equation / Eric Carlen, Maria C. Carvalho and Michael Loss -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10908) Isoperimetric inequalities for eigenvalues of the Laplacian / Rafael D. Benguria -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10909) Max-to-mean ratio estimates for the fundamental eigenfunction of the Dirichlet Laplacian / Najoua Gamara, Abdelhalim Hasnaoui and Lotfi Hermi -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10910) An introduction to the mathematics of Anderson localization / Günter Stolz -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10911) Schrödinger operators with potential $V(n)=n{̂-\gamma }\cos (2\pi n{̂\rho })$ / Helge Krüger -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10912) Random unitary models and their localization properties / Alain Joye -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10913) Universality of correlations for random analytic functions / Shannon Starr -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10914) A Wegner estimate for Wigner matrices / Anna Maltsev and Benjamin Schlein -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10915) Lieb-Robinson bounds and existence of the thermodynamic limit for a class of irreversible quantum dynamics / Bruno Nachtergaele, Anna Vershynina and Valentin A. Zagrebnov -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10916) Quantum Heisenberg models and their probabilistic representations / Christina Goldschmidt, Daniel Ueltschi and Peter Windridge -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10917) |
| Record Nr. | UNINA-9910821760903321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2011] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||