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Coherent states in quantum physics [[electronic resource] /] / by Jean-Pierre Gazeau
| Coherent states in quantum physics [[electronic resource] /] / by Jean-Pierre Gazeau |
| Autore | Gazeau Jean-Pierre |
| Pubbl/distr/stampa | Weinheim, : Wiley-VCH, 2009 |
| Descrizione fisica | 1 online resource (360 p.) |
| Disciplina | 530.12 |
| Soggetto topico |
Coherent states
Quantum theory |
| ISBN |
1-282-30253-1
9786612302534 3-527-62828-2 3-527-62829-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Coherent States in Quantum Physics; Contents; Preface; Part One Coherent States; 1 Introduction; 1.1 The Motivations; 2 The Standard Coherent States: the Basics; 2.1 Schrödinger Definition; 2.2 Four Representations of Quantum States; 2.2.1 Position Representation; 2.2.2 Momentum Representation; 2.2.3 Number or Fock Representation; 2.2.4 A Little (Lie) Algebraic Observation; 2.2.5 Analytical or Fock-Bargmann Representation; 2.2.6 Operators in Fock-Bargmann Representation; 2.3 Schrödinger Coherent States; 2.3.1 Bergman Kernel as a Coherent State; 2.3.2 A First Fundamental Property
2.3.3 Schrödinger Coherent States in the Two Other Representations2.4 Glauber-Klauder-Sudarshan or Standard Coherent States; 2.5 Why the Adjective Coherent?; 3 The Standard Coherent States: the (Elementary) Mathematics; 3.1 Introduction; 3.2 Properties in the Hilbertian Framework; 3.2.1 A ``Continuity'' from the Classical Complex Plane to Quantum States; 3.2.2 ``Coherent'' Resolution of the Unity; 3.2.3 The Interplay Between the Circle (as a Set of Parameters) and the Plane (as a Euclidean Space); 3.2.4 Analytical Bridge; 3.2.5 Overcompleteness and Reproducing Properties 3.3 Coherent States in the Quantum Mechanical Context3.3.1 Symbols; 3.3.2 Lower Symbols; 3.3.3 Heisenberg Inequalities; 3.3.4 Time Evolution and Phase Space; 3.4 Properties in the Group-Theoretical Context; 3.4.1 The Vacuum as a Transported Probe...; 3.4.2 Under the Action of...; 3.4.3 ... the D-Function; 3.4.4 Symplectic Phase and the Weyl-Heisenberg Group; 3.4.5 Coherent States as Tools in Signal Analysis; 3.5 Quantum Distributions and Coherent States; 3.5.1 The Density Matrix and the Representation ``R''; 3.5.2 The Density Matrix and the Representation ``Q'' 3.5.3 The Density Matrix and the Representation ``P''3.5.4 The Density Matrix and the Wigner(-Weyl-Ville) Distribution; 3.6 The Feynman Path Integral and Coherent States; 4 Coherent States in Quantum Information: an Example of Experimental Manipulation; 4.1 Quantum States for Information; 4.2 Optical Coherent States in Quantum Information; 4.3 Binary Coherent State Communication; 4.3.1 Binary Logic with Two Coherent States; 4.3.2 Uncertainties on POVMs; 4.3.3 The Quantum Error Probability or Helstrom Bound; 4.3.4 The Helstrom Bound in Binary Communication 4.3.5 Helstrom Bound for Coherent States4.3.6 Helstrom Bound with Imperfect Detection; 4.4 The Kennedy Receiver; 4.4.1 The Principle; 4.4.2 Kennedy Receiver Error; 4.5 The Sasaki-Hirota Receiver; 4.5.1 The Principle; 4.5.2 Sasaki-Hirota Receiver Error; 4.6 The Dolinar Receiver; 4.6.1 The Principle; 4.6.2 Photon Counting Distributions; 4.6.3 Decision Criterion of the Dolinar Receiver; 4.6.4 Optimal Control; 4.6.5 Dolinar Hypothesis Testing Procedure; 4.7 The Cook-Martin-Geremia Closed-Loop Experiment; 4.7.1 A Theoretical Preliminary; 4.7.2 Closed-Loop Experiment: the Apparatus 4.7.3 Closed-Loop Experiment: the Results |
| Record Nr. | UNINA-9910139774403321 |
Gazeau Jean-Pierre
|
||
| Weinheim, : Wiley-VCH, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Coherent states in quantum physics / / by Jean-Pierre Gazeau
| Coherent states in quantum physics / / by Jean-Pierre Gazeau |
| Autore | Gazeau Jean-Pierre |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Weinheim, : Wiley-VCH, 2009 |
| Descrizione fisica | 1 online resource (360 p.) |
| Disciplina | 530.12 |
| Soggetto topico |
Coherent states
Quantum theory |
| ISBN |
1-282-30253-1
9786612302534 3-527-62828-2 3-527-62829-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Coherent States in Quantum Physics; Contents; Preface; Part One Coherent States; 1 Introduction; 1.1 The Motivations; 2 The Standard Coherent States: the Basics; 2.1 Schrödinger Definition; 2.2 Four Representations of Quantum States; 2.2.1 Position Representation; 2.2.2 Momentum Representation; 2.2.3 Number or Fock Representation; 2.2.4 A Little (Lie) Algebraic Observation; 2.2.5 Analytical or Fock-Bargmann Representation; 2.2.6 Operators in Fock-Bargmann Representation; 2.3 Schrödinger Coherent States; 2.3.1 Bergman Kernel as a Coherent State; 2.3.2 A First Fundamental Property
2.3.3 Schrödinger Coherent States in the Two Other Representations2.4 Glauber-Klauder-Sudarshan or Standard Coherent States; 2.5 Why the Adjective Coherent?; 3 The Standard Coherent States: the (Elementary) Mathematics; 3.1 Introduction; 3.2 Properties in the Hilbertian Framework; 3.2.1 A ``Continuity'' from the Classical Complex Plane to Quantum States; 3.2.2 ``Coherent'' Resolution of the Unity; 3.2.3 The Interplay Between the Circle (as a Set of Parameters) and the Plane (as a Euclidean Space); 3.2.4 Analytical Bridge; 3.2.5 Overcompleteness and Reproducing Properties 3.3 Coherent States in the Quantum Mechanical Context3.3.1 Symbols; 3.3.2 Lower Symbols; 3.3.3 Heisenberg Inequalities; 3.3.4 Time Evolution and Phase Space; 3.4 Properties in the Group-Theoretical Context; 3.4.1 The Vacuum as a Transported Probe...; 3.4.2 Under the Action of...; 3.4.3 ... the D-Function; 3.4.4 Symplectic Phase and the Weyl-Heisenberg Group; 3.4.5 Coherent States as Tools in Signal Analysis; 3.5 Quantum Distributions and Coherent States; 3.5.1 The Density Matrix and the Representation ``R''; 3.5.2 The Density Matrix and the Representation ``Q'' 3.5.3 The Density Matrix and the Representation ``P''3.5.4 The Density Matrix and the Wigner(-Weyl-Ville) Distribution; 3.6 The Feynman Path Integral and Coherent States; 4 Coherent States in Quantum Information: an Example of Experimental Manipulation; 4.1 Quantum States for Information; 4.2 Optical Coherent States in Quantum Information; 4.3 Binary Coherent State Communication; 4.3.1 Binary Logic with Two Coherent States; 4.3.2 Uncertainties on POVMs; 4.3.3 The Quantum Error Probability or Helstrom Bound; 4.3.4 The Helstrom Bound in Binary Communication 4.3.5 Helstrom Bound for Coherent States4.3.6 Helstrom Bound with Imperfect Detection; 4.4 The Kennedy Receiver; 4.4.1 The Principle; 4.4.2 Kennedy Receiver Error; 4.5 The Sasaki-Hirota Receiver; 4.5.1 The Principle; 4.5.2 Sasaki-Hirota Receiver Error; 4.6 The Dolinar Receiver; 4.6.1 The Principle; 4.6.2 Photon Counting Distributions; 4.6.3 Decision Criterion of the Dolinar Receiver; 4.6.4 Optimal Control; 4.6.5 Dolinar Hypothesis Testing Procedure; 4.7 The Cook-Martin-Geremia Closed-Loop Experiment; 4.7.1 A Theoretical Preliminary; 4.7.2 Closed-Loop Experiment: the Apparatus 4.7.3 Closed-Loop Experiment: the Results |
| Record Nr. | UNINA-9910818401003321 |
|
Gazeau Jean-Pierre
|
||
| Weinheim, : Wiley-VCH, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Joseph Fourier 250th Birthday. Modern Fourier Analysis and Fourier Heat Equation in Information Sciences for the XXIst century
| Joseph Fourier 250th Birthday. Modern Fourier Analysis and Fourier Heat Equation in Information Sciences for the XXIst century |
| Autore | Gazeau Jean-Pierre |
| Pubbl/distr/stampa | MDPI - Multidisciplinary Digital Publishing Institute, 2019 |
| Descrizione fisica | 1 electronic resource (260 p.) |
| Soggetto non controllato |
signal processing
thermodynamics heat pulse experiments quantum mechanics variational formulation Wigner function nonholonomic constraints thermal expansion homogeneous spaces irreversible processes time-slicing affine group Fourier analysis non-equilibrium processes harmonic analysis on abstract space pseudo-temperature stochastic differential equations fourier transform Lie Groups higher order thermodynamics short-time propagators discrete thermodynamic systems metrics heat equation on manifolds and Lie Groups special functions poly-symplectic manifold non-Fourier heat conduction homogeneous manifold non-equivariant cohomology Souriau-Fisher metric Weyl quantization dynamical systems symplectization Weyl-Heisenberg group Guyer-Krumhansl equation rigged Hilbert spaces Lévy processes Born–Jordan quantization discrete multivariate sine transforms continuum thermodynamic systems interconnection rigid body motions covariant integral quantization cubature formulas Lie group machine learning nonequilibrium thermodynamics Van Vleck determinant Lie groups thermodynamics partial differential equations orthogonal polynomials |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910346692703321 |
|
Gazeau Jean-Pierre
|
||
| MDPI - Multidisciplinary Digital Publishing Institute, 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||