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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 |
9786612302534
9781282302532 1282302531 9783527628285 3527628282 9783527628292 3527628290 |
| 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 / / Jean-Pierre Gazeau, Frédéric Barbaresco
| Joseph Fourier 250th Birthday : : Modern Fourier Analysis and Fourier Heat Equation in Information Sciences for the XXIst century / / Jean-Pierre Gazeau, Frédéric Barbaresco |
| Autore | Gazeau Jean-Pierre |
| Pubbl/distr/stampa | Basel, Switzerland : , : MDPI, , 2019 |
| Descrizione fisica | 1 online resource (1 p.) |
| Soggetto non controllato | Weyl-Heisenberg group; affine group; Weyl quantization; Wigner function; covariant integral quantization; Fourier analysis; special functions; rigged Hilbert spaces; quantum mechanics; signal processing; non-Fourier heat conduction; thermal expansion; heat pulse experiments; pseudo-temperature; Guyer-Krumhansl equation; higher order thermodynamics; Lie groups thermodynamics; homogeneous manifold; poly-symplectic manifold; dynamical systems; non-equivariant cohomology; Lie group machine learning; Souriau-Fisher metric; Born-Jordan quantization; short-time propagators; time-slicing; Van Vleck determinant; thermodynamics; symplectization; metrics; non-equilibrium processes; interconnection; discrete multivariate sine transforms; orthogonal polynomials; cubature formulas; nonequilibrium thermodynamics; variational formulation; nonholonomic constraints; irreversible processes; discrete thermodynamic systems; continuum thermodynamic systems; fourier transform; rigid body motions; partial differential equations; Lévy processes; Lie Groups; homogeneous spaces; stochastic differential equations; harmonic analysis on abstract space; heat equation on manifolds and Lie Groups |
| ISBN |
9783038977476
3038977470 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910765788803321 |
|
Gazeau Jean-Pierre
|
||
| Basel, Switzerland : , : MDPI, , 2019 | ||
| 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 online resource (260 p.) |
| Soggetto non controllato |
affine group
Born-Jordan quantization continuum thermodynamic systems covariant integral quantization cubature formulas discrete multivariate sine transforms discrete thermodynamic systems dynamical systems Fourier analysis fourier transform Guyer-Krumhansl equation harmonic analysis on abstract space heat equation on manifolds and Lie Groups heat pulse experiments higher order thermodynamics homogeneous manifold homogeneous spaces interconnection irreversible processes Lévy processes Lie group machine learning Lie Groups Lie groups thermodynamics metrics non-equilibrium processes non-equivariant cohomology non-Fourier heat conduction nonequilibrium thermodynamics nonholonomic constraints orthogonal polynomials partial differential equations poly-symplectic manifold pseudo-temperature quantum mechanics rigged Hilbert spaces rigid body motions short-time propagators signal processing Souriau-Fisher metric special functions stochastic differential equations symplectization thermal expansion thermodynamics time-slicing Van Vleck determinant variational formulation Weyl quantization Weyl-Heisenberg group Wigner function |
| 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 | ||
| ||