Harish Parthasarathy

Large Deviations Applied to Classical and Quantum Field Theory (eBook, ePUB)

• Format: ePub

Produktbeschreibung

This book deals with a variety of problems in Physics and Engineering where the large deviation principle of probability finds application. Large deviations is a branch of probability theory dealing with approximate computation of the probabilities of rare events.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 268
• Erscheinungstermin: 22. Dezember 2022
• Englisch
• ISBN-13: 9781000830576
• Artikelnr.: 66431907

Autorenporträt

Harish Parthasarathy received B.tech degree in Electrical Engineering from IIT Kanpur and his PhD degree in Signal Processing from IIT Delhi in 1994. He worked as a visiting fellow in the Indian Institute of Astro Physics, Bangalore, from 1993 to 1994. He has worked as a member of faculty in the Electrical Engineering departments at IIT Bombay and IIT Kanpur. Currently, he is a professor in the Electronics and Communication Division in NSIT, Delhi. He teaches courses on Signal processing, Electromagnetics, transmission lines, wave guides & antennas and electives in quantum field theory, quantum robotics & quantum stochastic processes to undergraduate and postgraduate students. He has published over 70 papers in international journals and conferences and he has also published 12 books on a variety of topics in mathematical physics, signal processing and antenna theory.

Inhaltsangabe

1. LDP Problems in Quantum Field Theory 2. LDP in Biology
Neural Networks
Electromagnetic Measurements
Cosmic Expansion 3. LDP in Signal Processing
Communication and Antenna Design 4. LDP Applied to Quantum Measurement
Classical Markov Chains
Quantum Stochastics and Quantum Transition Probabilities 5. LDP in Classical Stochastic Process Theory and Quantum Mechanical Transitions 6. LDP in Pattern Recognition and Fermionic Quantum Filtering 7. LDP in Spin Field Theory
Anharmonic Perturbations of Quantum Oscillators
Small Perturbations of Quantum Gibbs States 8. LDP for Electromagnetic Control of Gravitational Waves
Randomly Perturbed Quantum Fields
Hartree-Fock Approximation
Renewal Processes in Quantum Mechanics 9. LDP in Electromagnetic Scattering and String Theory
Control of Dynamical Systems Using LDP 10. LDP in Markov Chain and Queueing Theory with Quantum Mechanical Applications 11. LDP in Device Physics
Quantum Scattering Amplitudes
Quantum Filtering and Quantum Antennas 12. How the Electron Acquires Its Mass
Estimating the Electron Spin and the Quantum Electromagnetic Field Within a Cavity in the Presence of Quantum Noise 13. Mathematical Tools for Large Deviations
Neural Networks
LDP in Physical Theories
EM and LDP Algorithms in Quantum Parameter Estimation and Filtering 14. Quantum Transmission Lines
Engineering Applications of Stochastic Processes 15. More Tools in Probability
Electron Mass in the Presence of Gravity and Electromagnetic Radiation
More on LDP in Quantum Field Theory
Non-Abelian Gauge Field Theory and Gravitation 16. Weak Convergence
Sanov's Theorem
LDP in Binary Signal Detection 17. LDP for Classical and Quantum Transmission Lines
String Theoretic Corrections to Classical Field Lagrangians
Non-Abelian Gauge Theory in the Language of Differential Forms 18. LDP and EM Algorithm
LDP for Parameter Estimates in Linear Dynamical Systems
Philosophical Questions in Quantum General Relativity