Markov processes and quantum theory / / Masao Nagasawa |
Autore | Nagasawa Masao <1933 August 1-> |
Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2021] |
Descrizione fisica | 1 online resource (349 pages) |
Disciplina | 530.12 |
Collana | Monographs in mathematics |
Soggetto topico |
Quantum theory
Teoria quàntica Processos de Markov |
Soggetto genere / forma | Llibres electrònics |
ISBN | 3-030-62688-1 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Preface -- Contents -- Chapter 1 Mechanics of Random Motion -- 1.1 Smooth Motion and Random Motion -- 1.2 On Stochastic Processes -- 1.3 Itô's Path Analysis -- 1.4 Equation of Motion for a Stochastic Process -- 1.5 Kinematics of Random Motion -- 1.6 Free Random Motion of a Particle -- 1.7 Hooke's Force -- 1.8 Hooke's Force and an Additional Potential -- 1.9 Complex Evolution Functions -- 1.10 Superposition Principle -- 1.11 Entangled Quantum Bit -- 1.12 Light Emission from a Silicon Semiconductor -- 1.13 The Double-Slit Problem -- 1.14 Double-Slit Experiment with Photons -- 1.15 Theory of Photons -- 1.16 Principle of Least Action -- 1.17 Transformation of Probability Measures -- 1.18 Schrödinger Equation and Path Equation -- Chapter 2 Applications -- 2.1 Motion induced by the Coulomb Potential -- 2.2 Charged Particle in a Magnetic Field -- 2.3 Aharonov-Bohm Effect -- 2.4 Tunnel Effect -- 2.5 Bose-Einstein Distribution -- 2.6 Random Motion and the Light Cone -- 2.7 Origin of the Universe -- 2.8 Classification of Boundary Points -- 2.9 Particle Theory of Electron Holography -- 2.10 Escherichia coli and Meson models -- 2.11 High-Temperature Superconductivity -- Chapter 3 Momentum, Kinetic Energy, Locality -- 3.1 Momentum and Kinetic Energy -- 3.2 Matrix Mechanics -- 3.3 Function Representations of Operators -- 3.4 Expectation and Variance -- 3.5 The Heisenberg Uncertainty Principle -- 3.6 Kinetic Energy and Variance of Position -- 3.7 Theory of Hidden Variables -- 3.8 Einstein's Locality -- 3.9 Bell's Inequality -- 3.10 Local Spin Correlation Model -- 3.11 Long-Lasting Controversy and Random Motion -- Chapter 4 Markov Processes -- 4.1 Time-Homogeneous Markov Proces-ses -- 4.2 Transformations by M-Functionals -- 4.3 Change of Time Scale -- 4.4 Duality and Time Reversal -- 4.5 Time Reversal, Last Occurrence Time.
4.6 Time Reversal, Equations of Motion -- 4.7 Conditional Expectation -- 4.8 Paths of Brownian Motion -- Chapter 5 Applications of Relative Entropy -- 5.1 Relative Entropy -- 5.2 Variational Principle -- 5.3 Exponential Family of Distributions -- 5.4 Existence of Entrance and Exit Functions -- 5.5 Cloud of Paths -- 5.6 Kac's Phenomenon of Propagation of Chaos -- Chapter 6 Extinction and Creation -- 6.1 Extinction of Particles -- 6.2 Piecing-Together Markov Processes -- 6.3 Branching Markov Processes -- 6.4 Construction of Branching Markov Processes -- 6.5 Markov Processes with Age -- 6.6 Branching Markov Processes with Age -- Bibliography -- Index. |
Record Nr. | UNISA-996466405103316 |
Nagasawa Masao <1933 August 1->
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Cham, Switzerland : , : Birkhäuser, , [2021] | ||
![]() | ||
Lo trovi qui: Univ. di Salerno | ||
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Markov processes and quantum theory / / Masao Nagasawa |
Autore | Nagasawa Masao <1933 August 1-> |
Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2021] |
Descrizione fisica | 1 online resource (349 pages) |
Disciplina | 530.12 |
Collana | Monographs in mathematics |
Soggetto topico |
Quantum theory
Teoria quàntica Processos de Markov |
Soggetto genere / forma | Llibres electrònics |
ISBN | 3-030-62688-1 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Preface -- Contents -- Chapter 1 Mechanics of Random Motion -- 1.1 Smooth Motion and Random Motion -- 1.2 On Stochastic Processes -- 1.3 Itô's Path Analysis -- 1.4 Equation of Motion for a Stochastic Process -- 1.5 Kinematics of Random Motion -- 1.6 Free Random Motion of a Particle -- 1.7 Hooke's Force -- 1.8 Hooke's Force and an Additional Potential -- 1.9 Complex Evolution Functions -- 1.10 Superposition Principle -- 1.11 Entangled Quantum Bit -- 1.12 Light Emission from a Silicon Semiconductor -- 1.13 The Double-Slit Problem -- 1.14 Double-Slit Experiment with Photons -- 1.15 Theory of Photons -- 1.16 Principle of Least Action -- 1.17 Transformation of Probability Measures -- 1.18 Schrödinger Equation and Path Equation -- Chapter 2 Applications -- 2.1 Motion induced by the Coulomb Potential -- 2.2 Charged Particle in a Magnetic Field -- 2.3 Aharonov-Bohm Effect -- 2.4 Tunnel Effect -- 2.5 Bose-Einstein Distribution -- 2.6 Random Motion and the Light Cone -- 2.7 Origin of the Universe -- 2.8 Classification of Boundary Points -- 2.9 Particle Theory of Electron Holography -- 2.10 Escherichia coli and Meson models -- 2.11 High-Temperature Superconductivity -- Chapter 3 Momentum, Kinetic Energy, Locality -- 3.1 Momentum and Kinetic Energy -- 3.2 Matrix Mechanics -- 3.3 Function Representations of Operators -- 3.4 Expectation and Variance -- 3.5 The Heisenberg Uncertainty Principle -- 3.6 Kinetic Energy and Variance of Position -- 3.7 Theory of Hidden Variables -- 3.8 Einstein's Locality -- 3.9 Bell's Inequality -- 3.10 Local Spin Correlation Model -- 3.11 Long-Lasting Controversy and Random Motion -- Chapter 4 Markov Processes -- 4.1 Time-Homogeneous Markov Proces-ses -- 4.2 Transformations by M-Functionals -- 4.3 Change of Time Scale -- 4.4 Duality and Time Reversal -- 4.5 Time Reversal, Last Occurrence Time.
4.6 Time Reversal, Equations of Motion -- 4.7 Conditional Expectation -- 4.8 Paths of Brownian Motion -- Chapter 5 Applications of Relative Entropy -- 5.1 Relative Entropy -- 5.2 Variational Principle -- 5.3 Exponential Family of Distributions -- 5.4 Existence of Entrance and Exit Functions -- 5.5 Cloud of Paths -- 5.6 Kac's Phenomenon of Propagation of Chaos -- Chapter 6 Extinction and Creation -- 6.1 Extinction of Particles -- 6.2 Piecing-Together Markov Processes -- 6.3 Branching Markov Processes -- 6.4 Construction of Branching Markov Processes -- 6.5 Markov Processes with Age -- 6.6 Branching Markov Processes with Age -- Bibliography -- Index. |
Record Nr. | UNINA-9910488723503321 |
Nagasawa Masao <1933 August 1->
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Cham, Switzerland : , : Birkhäuser, , [2021] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
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