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El. knyga: Stochastic Processes in Classical and Quantum Physics and Engineering [Taylor & Francis e-book]

  • Formatas: 260 pages
  • Išleidimo metai: 23-Dec-2022
  • Leidėjas: CRC Press
  • ISBN-13: 9781003353553
Kitos knygos pagal šią temą:
  • Taylor & Francis e-book
  • Kaina: 193,88 €*
  • * this price gives unlimited concurrent access for unlimited time
  • Standartinė kaina: 276,97 €
  • Sutaupote 30%
Stochastic Processes in Classical and Quantum Physics and EngineeringDidesnis paveikslėlis
  • Formatas: 260 pages
  • Išleidimo metai: 23-Dec-2022
  • Leidėjas: CRC Press
  • ISBN-13: 9781003353553
Kitos knygos pagal šią temą:
Taylor & Francis e-booksMore info about Taylor & Francis e-books
Partnerių interneto svetainė: https://www.taylorfrancis.com/books/9781003353553
This book covers a wide range of problems involving the applications of stochastic processes, stochastic calculus, large deviation theory, group representation theory and quantum statistics to diverse fields in dynamical systems, electromagnetics, statistical signal processing, quantum information theory, quantum neural network theory, quantum filtering theory, quantum electrodynamics, quantum general relativity, string theory, problems in biology and classical and quantum fluid dynamics.

The selection of the problems has been based on courses taught by the author to undergraduates and postgraduates in Electronics and Communications Engineering.

Print edition not for sale in South Asia (India, Sri Lanka, Nepal, Bangladesh, Pakistan or Bhutan).
1 Stability Theory of Nonlinear Systems Based on Taylor Approximations of the Nonlinearity
10(4)
1.1 Stochastic Perturbation of Nonlinear Dynamical Systems: Linearized Analysis
1(2)
1.2 Large Deviation Analysis of the Stability Problem
3(1)
1.3 LDP for Yang-Mills Gauge Fields and LDP for the Quantized Metric Tensor of Spacetime
4(2)
1.4 String in Background Fields
6(8)
2 String Theory and Large Deviations
14(46)
2.1 Evaluating Quantum String Amplitudes Using Functional Integration
11(1)
2.2 LDP for Poisson Fields
12(1)
2.3 LDP for Strings Perturbed by Mixture of Gaussian and Poisson Noise
13(47)
3 Ordinary, Partial and Stochastic Differential Equation Models for Biological Systems, Quantum Gravity, Hawking Radiation, Quantum Fluids, Statistical Signal Processing, Group Representations, Large Deviations in Statistical Physics
60(14)
3.1 A lecture on Biological Aspects of Virus Attacking the Immune System
15(8)
3.2 More on Quantum Gravity
23(2)
3.3 Large Deviation Properties of Virus Combat with Antibodies
25(6)
3.4 Large Deviations Problems in Quantum Fluid Dynamics
31(3)
3.5 Lecture Schedule for Statistical Signal Processing
34(3)
3.6 Basic Concepts in Group Theory and Group Representation Theory
37(1)
3.7 Some Remarks on Quantum Gravity Using the ADM Action
38(1)
3.8 Diffusion Exit Problem
39(2)
3.9 Large Deviations for the Boltzmann Kinetic Transport Equation
41(1)
3.10 Orbital Integrals for SL(2,R) with Applications to Statistical Image Processing
42(2)
3.11 Loop Quantum Gravity (LQG)
44(1)
3.12 Group Representations in Relativistic Image Processing
45(3)
3.13 Approximate Solution to the Wave Equation in the Vicinity of the Event Horizon of a Schwarchild Black-hole
48(3)
3.14 More on Group Theoretic Image Processing
51(7)
3.15 A Problem in Quantum Information Theory
58(1)
3.16 Hawking Radiation
59(15)
4 Research Topics on Representations
74(12)
4.1 Remarks on Induced Representations and Haar Integrals
61(5)
4.2 On the Dynamics of Breathing in the Presence of a Mask
66(3)
4.3 Plancherel Formula for SL(2,R)
69(2)
4.4 Some Applications of the Plancherel Formula for a Lie Group to Image Processing
71(15)
5 Some Problems in Quantum Information Theory
86(20)
5.1 Quantum Information Theory and Quantum Blackhole Physics
81(2)
5.2 Harmonic Analysis on the Schwarz Space of G = SL(2,R)
83(1)
5.3 Monotonicity of Quantum Entropy Under Pinching
84(22)
6 Lectures on Statistical Signal Processing
106(20)
6.1 Large Deviation Analysis of the RLS Algorithm
88(2)
6.2 Problem Suggested
6.3 Fidelity Between Two Quantum States
90(2)
6.4 Stinespring's Representation of a TPCP Map, i.e, of a Quantum Operation
92(1)
6.5 RLS Lattice Algorithm, Statistical Performance Analysis
93(1)
6.6 Approximate Computation of the Matrix Elements of the Principal and Discrete Series for G = SL(2,R)
94(1)
6.7 Proof of the Converse Part of the Cq Coding Theorem
95(5)
6.8 Proof of the Direct part of the Cq Coding Theorem
100(2)
6.9 Induced Representations
102(2)
6.10 Estimating Non-uniform Transmission Line Parameters and Line Voltage and Current Using the Extended Kalman Filter
104(1)
6.11 Multipole Expansion of the Magnetic Field Produced by a Time Varying Current Distribution
105(21)
7 Some Aspects of Stochastic Processes
126(2)
7.1 Problem Suggested by Prof. Dhananjay
121(1)
7.2 Converse of the Shannon Coding Theorem
122(6)
8 Problems in Electromagnetics and Gravitation
128(12)
9 Some More Aspects of Quantum Information Theory
140(42)
9.1 An Expression for State Detection Error
129(2)
9.2 Operator Convex Functions and Operator Monotone Functions
131(2)
9.3 A Selection of Matrix Inequalities
133(5)
9.4 Matrix Holder Inequality
138(44)
10 Lecture Plan for Statistical Signal Processing
182(4)
10.1 End-Semester Exam, Duration: Four Hours, Pattern Recognition
143(10)
10.2 Quantum Stein's Theorem
153(1)
10.3 Question Paper, Short Test, Statistical Signal Processing
154(3)
10.4 Question Paper on Statistical Signal Processing, Long Test
157(9)
10.5 Quantum Neural Networks for Estimating EEG pdf from Speech pdf Based on Schrodinger's Equation
166(7)
10.6 Statistical Signal Processing
173(5)
10.7 Monotonocity of Quantum Relative Renyi Entropy
178(8)
11 My Commentary on the Ashtavakra Gita
186(6)
12 LDP-UKF Based Controller
192(8)
13 Abstracts for a Book on Quantum Signal Processing Using Quantum Field Theory
200(8)
14 Quantum Neural Networks and Learning Using Mixed State Dynamics for Open Quantum Systems
208(30)
15 Quantum Gate Design, Magnet Motion, Quantum Filtering, Wigner Distributions
238(10)
15.1 Designing a Quantum Gate Using QED with a Control c-number Four Potential
209(2)
15.2 On the Motion of a Magnet Through a Pipe with a Coil Under Gravity and the Reaction Force Exerted by the Induced Current Through the Coil on the Magnet
211(8)
15.3 Quantum Filtering Theory Applied to Quantum Field Theory for Tracking a Given Probability Density Function
219(2)
15.4 Lecture on the Role of Statistical Signal Processing in General Relativity and Quantum Mechanics
221(2)
15.5 Problems in Classical and Quantum Stochastic Calculus
223(3)
15.6 Some Remarks on the Equilibrium Fokker-Planck Equation for the Gibbs Distribution
226(2)
15.7 Wigner-distributions in Quantum Mechanics
228(8)
15.8 Motion of An Element having Both an Electric and a Magnetic Dipole Moment in an External Electromagnetic Field Plus a Coil
236(12)
16 Large Deviations for Markov Chains, Quantum Master Equation, Wigner Distribution for the Belavkin Filter
248(12)
16.1 Large Deviation Rate Function for the Empirical Distribution of a Markov Chain
239(2)
16.2 Quantum Master Equation in General Relativity
241(5)
16.3 Belavkin Filter for the Wigner Distirbution Function
246(14)
17 String and Field Theory with Large Deviations, Stochastic Algorithm Convergence
260
17.1 String Theoretic Corrections to Field Theories
249(1)
17.2 Large Deviations Problems in String Theory
250(2)
17.3 Convergence Analysis of the LMS Algorithm
252(1)
17.4 String Interacting with Scalar Field, Gauge Field and a Gravitational Field
253
Harish Parthasarathy received a 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 and 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.
Pastovi nuoroda: https://www.kriso.lt/db/9781003353553_pe.html
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