Harish Parthasarathy | Category: Physics

Book Details

ISBN: 9789384370701

YOP: 2018

Pages: 450

Order also on

This book is a collection of problems & solutions on topics related to Quantum Robotics, Quantum Gravity, Quantum Statistics,

Quantum Stochastic & Quantum Field Theory applied to Non-Abelian Yang-Mill Fields. Specific topics in Quantum Information, General Relativity and Cosmology like Galactic Evolution, Relativistic Fluid Dynamics, Stellar Structure, Stochastic Models leading to fluid dynamic equation, etc. are also studied. The aim is to present these topics in a form that is easily accessible to a practising engineers so that they can take up a specific problem and simulate it in the form of non-linear dynamical system. The practising physicists can use this book for simulating the Non-Abelian Gauge fields interacting with gravitation and hence develop a unified field theory describing all kinds of interactions including gravitation electromagnetic forces, weak and strong interaction.

Robots interacting with quantized electromagnetic field produced by quantum current fields.

Density operator evolution in the Glauber Sudarshan coherent state representation.

Quantum Gaussian States and their properties.

Yang-Mills theory in a gravitational field.

Dynamics of a rotating robot: a single (3-D link) carrying a Yang-Mills classical current density field Jt r c_ μ , ( ) and interacting with a Yang-Mills Gauge potential At r μ _ , ( ) and Yang-Mills matter field _tr , ( ) generated by another source.

Non-Gaussian state estimation in quantum theory.

Tele operation of robots carrying current interacting via em radiation fields. A quantum mechanical analysis.

Master equations in quantum mechanics.

Thermal states in quantum field theory.

Feynman Diagram Examples

Broken symmetries in quantum field theory from a group theoretic perspective

G-invariant Gaussian Processes.

More analysis of thermal states in quantum field theory.

Syllabus for a short course of Antennas.

More on Quantum Gaussian States.

Current density associated with SU(N) gauge fields.

Some properties of creation and annihilation fields and their relationship to the Weyl operator.

Fourth order Runga – Kutta algorithm.

Imprimitivity system and quantum error correcting codes.

Quantum filtering and control (Belavkin’s theory).

Quantization of the Yang-Mills fields.

Implementation of Knill-Laflamme theorem for quantum error correctly codes.

Some examples of qsde’s.

Hartree Fock equations for many electron problems.

Hartree mechanism.

FPI for non-relativistic quantum.

Application of Stochastic calculus to quantum field theory.

Metric for a spherical distribution of matter.

Introduction to image processions for the Lorentz group of rotations and uniform motions.

Quantization of Yang-Mills theory in a gravitational field.

Gravitational radiation

Viscous and heating effect for special relativistic fields in tensorial from.

Dirac equation in a linear 4-potential

Relativistic (special) fluid dynamics.

Post Newtonian approximation for the geodesic equation in gtr.

Entropy, typical sequences, Shannon’s and Schumacher’s coding theorem in quantum information theory.

Dirac equation in curved space-time based on the tetrad formation.

Binary Quantum hypothesis testing.

m-ary Quantum hypothesis testing.

Estimation of Sudarshan Lindblad parameter (approximation) for open quantum systems.

An identity regarding perturbed metrics used in the study of galactic evolution.

Newtonian theory of small fluctuations.

Shannon entropy for any PVM ≥ Von-Neumann entropy.

Research problems for Rohit Rana and Rohit Singh Quantization of Yan-Mills gauge theories.

Dirac equation in a radial potential.

Gauge theory for broken symmetries.

Dirac equation in radial potentials.

Non-uniform wave-guide analysis.

Realizing the gravitation curvature as a Lie algebra commutation.

Camera based signal receptor developed in collaboration with Prof. Dhananjay Gadre CCD cameras that can be installed in the optical Telescopes available in the institute astronomy club to map the sky in different frequency ranges – optical, infra-red and radio.

Super symmetry algebra.

Use of quantum gravity for developing quantum computers.

MATLAB simulation of classical Yang-Mills field with noise.

Degeneracy of the unperturbed Hamiltonian is broken by a small perturbation. Let H0 be the unperturbed Hamiltonian and let H0 be invariant under the one paramute group exp(it, X), t∈R when X* = X

Quantum fluctuation in a classical background metric.

Levy noise in a quantum dynamical system.

Pfaffian

Canonical quantum gravity

Supersymmetry

Classical state observer and control for stochastic systems.

Gravity in the presence of stochastic perturbation to the energy momentum tensor. 187 Fluid dynamics in special relativity

Supersymmetry generators

Quantum field theory continued: Creation and annihilation operator fields.

Electrons H positrons interacting with a quantum noisy photon bath.

Themann’s approach to quantization of the gravitational field.

Fluid flow in a pipe of arbitrary cross section.

Cavity resonator

Calculate the resolvent of a second order differential spectra.

Irreducible Representation of semi direct products.

Induced representation for velocity rotation estimation on 2-D image fields

A brief survey of filtering and control theory applied to the d-link robot system.

Brans-Dicke theory

Energy-momentum tensor of discrete particles in gtr.

Quasi translation in the Robertson Walker metrics.

Galactic evolution in zero background curvature metrics.

Upperbound on M, the size of an efficient quantum code.

Estimation of the 3-D velocity and rotation applied to an object from the original and transformed object fields using Mackey’s theory of induced representation.

Differential equations for stellar structure.

Quantization of the em field in a background curved space-time

Spontaneously broken gauge symmetries

Boltzmann equation → Fokker Planck equation collision term

Spherically symmetric metrics

Rate function for the empirical density in the simple exclusion model

Brans-Dike theory

Rayleigh’s explanation of why the sky is blue.

Density fluctuations of the simple exclusion model

An identity for angular momentum

Problems in CFD (computational fluid dynamics)

Energy-momentum tensor of the electromagnetic field fluctuations.

Galactic evolution.

Relative entropy between two Markov chains.

Motion of particles in a gravitational wave

Belavkin Filtering with Squeezed Light Sources.

Null geodesic

Relative entropy between two Markov chains in continuous time

Heat and mass transfer in a viscous special relativistic fluid

Polarization using quantum mechanics

RLS Lattice Algorithm

Attenuation in wave guides

Laser field interacting with atomic spin.

EMFT Lecture: Multiple radiation of em fields

Lecture EMFT

EMFT Lecture

Effects of random deformation of an antenna surface on the current distribution.

Cosmological metrics

Dipole moment (electric) using the Dirac equation

Derivation of Boltzmann’s kinetic transport eqn. from Liouvilles equation of mechanics.

Lecture Antennas and Wave propogation Application to study the effect of quantum gravity on the electron and positron current field

Coherent states of the electromagnetic field.

Quantum gravity

Chandrashekhar limit

Gartner-Ellis method

Girsanov’s theorem

Problem: Compute

Interaction of the spin of an atom with a narrowband time varying electric field

Classical theory of photoelectron.

Quantum Boltzmann Equation for two particles

Scattering operator

Atom interacting with the laser em field

Semidirect products–an application for Shilpa and Vishal.

For Hitendre Dirac’s equn. in a gravitation field.

Tetrad for the Schwarzchild metric

Lorentz group acts on charge fields.

Simulation of the electron-positron field

Quantum Robotics

Atom interacting with a quantum field

Ricci tensor for a radially symmetric metric

Density evolution for quantum harmonic oscillator with forcing.

Impact of the work done by Indian Scientists on world science

RLS Lattice algorithm order and time updates for 2nd degree Volterna systems

Photo-electron detection probability

This book is a collection of problems & solutions on topics related to Quantum Robotics, Quantum Gravity, Quantum Statistics,

Quantum Stochastic & Quantum Field Theory applied to Non-Abelian Yang-Mill Fields. Specific topics in Quantum Information, General Relativity and Cosmology like Galactic Evolution, Relativistic Fluid Dynamics, Stellar Structure, Stochastic Models leading to fluid dynamic equation, etc. are also studied. The aim is to present these topics in a form that is easily accessible to a practising engineers so that they can take up a specific problem and simulate it in the form of non-linear dynamical system. The practising physicists can use this book for simulating the Non-Abelian Gauge fields interacting with gravitation and hence develop a unified field theory describing all kinds of interactions including gravitation electromagnetic forces, weak and strong interaction.

Robots interacting with quantized electromagnetic field produced by quantum current fields.

Density operator evolution in the Glauber Sudarshan coherent state representation.

Quantum Gaussian States and their properties.

Yang-Mills theory in a gravitational field.

Dynamics of a rotating robot: a single (3-D link) carrying a Yang-Mills classical current density field Jt r c_ μ , ( ) and interacting with a Yang-Mills Gauge potential At r μ _ , ( ) and Yang-Mills matter field _tr , ( ) generated by another source.

Non-Gaussian state estimation in quantum theory.

Tele operation of robots carrying current interacting via em radiation fields. A quantum mechanical analysis.

Master equations in quantum mechanics.

Thermal states in quantum field theory.

Feynman Diagram Examples

Broken symmetries in quantum field theory from a group theoretic perspective

G-invariant Gaussian Processes.

More analysis of thermal states in quantum field theory.

Syllabus for a short course of Antennas.

More on Quantum Gaussian States.

Current density associated with SU(N) gauge fields.

Some properties of creation and annihilation fields and their relationship to the Weyl operator.

Fourth order Runga – Kutta algorithm.

Imprimitivity system and quantum error correcting codes.

Quantum filtering and control (Belavkin’s theory).

Quantization of the Yang-Mills fields.

Implementation of Knill-Laflamme theorem for quantum error correctly codes.

Some examples of qsde’s.

Hartree Fock equations for many electron problems.

Hartree mechanism.

FPI for non-relativistic quantum.

Application of Stochastic calculus to quantum field theory.

Metric for a spherical distribution of matter.

Introduction to image processions for the Lorentz group of rotations and uniform motions.

Quantization of Yang-Mills theory in a gravitational field.

Gravitational radiation

Viscous and heating effect for special relativistic fields in tensorial from.

Dirac equation in a linear 4-potential

Relativistic (special) fluid dynamics.

Post Newtonian approximation for the geodesic equation in gtr.

Entropy, typical sequences, Shannon’s and Schumacher’s coding theorem in quantum information theory.

Dirac equation in curved space-time based on the tetrad formation.

Binary Quantum hypothesis testing.

m-ary Quantum hypothesis testing.

Estimation of Sudarshan Lindblad parameter (approximation) for open quantum systems.

An identity regarding perturbed metrics used in the study of galactic evolution.

Newtonian theory of small fluctuations.

Shannon entropy for any PVM ≥ Von-Neumann entropy.

Research problems for Rohit Rana and Rohit Singh Quantization of Yan-Mills gauge theories.

Dirac equation in a radial potential.

Gauge theory for broken symmetries.

Dirac equation in radial potentials.

Non-uniform wave-guide analysis.

Realizing the gravitation curvature as a Lie algebra commutation.

Camera based signal receptor developed in collaboration with Prof. Dhananjay Gadre CCD cameras that can be installed in the optical Telescopes available in the institute astronomy club to map the sky in different frequency ranges – optical, infra-red and radio.

Super symmetry algebra.

Use of quantum gravity for developing quantum computers.

MATLAB simulation of classical Yang-Mills field with noise.

Degeneracy of the unperturbed Hamiltonian is broken by a small perturbation. Let H0 be the unperturbed Hamiltonian and let H0 be invariant under the one paramute group exp(it, X), t∈R when X* = X

Quantum fluctuation in a classical background metric.

Levy noise in a quantum dynamical system.

Pfaffian

Canonical quantum gravity

Supersymmetry

Classical state observer and control for stochastic systems.

Gravity in the presence of stochastic perturbation to the energy momentum tensor. 187 Fluid dynamics in special relativity

Supersymmetry generators

Quantum field theory continued: Creation and annihilation operator fields.

Electrons H positrons interacting with a quantum noisy photon bath.

Themann’s approach to quantization of the gravitational field.

Fluid flow in a pipe of arbitrary cross section.

Cavity resonator

Calculate the resolvent of a second order differential spectra.

Irreducible Representation of semi direct products.

Induced representation for velocity rotation estimation on 2-D image fields

A brief survey of filtering and control theory applied to the d-link robot system.

Brans-Dicke theory

Energy-momentum tensor of discrete particles in gtr.

Quasi translation in the Robertson Walker metrics.

Galactic evolution in zero background curvature metrics.

Upperbound on M, the size of an efficient quantum code.

Estimation of the 3-D velocity and rotation applied to an object from the original and transformed object fields using Mackey’s theory of induced representation.

Differential equations for stellar structure.

Quantization of the em field in a background curved space-time

Spontaneously broken gauge symmetries

Boltzmann equation → Fokker Planck equation collision term

Spherically symmetric metrics

Rate function for the empirical density in the simple exclusion model

Brans-Dike theory

Rayleigh’s explanation of why the sky is blue.

Density fluctuations of the simple exclusion model

An identity for angular momentum

Problems in CFD (computational fluid dynamics)

Energy-momentum tensor of the electromagnetic field fluctuations.

Galactic evolution.

Relative entropy between two Markov chains.

Motion of particles in a gravitational wave

Belavkin Filtering with Squeezed Light Sources.

Null geodesic

Relative entropy between two Markov chains in continuous time

Heat and mass transfer in a viscous special relativistic fluid

Polarization using quantum mechanics

RLS Lattice Algorithm

Attenuation in wave guides

Laser field interacting with atomic spin.

EMFT Lecture: Multiple radiation of em fields

Lecture EMFT

EMFT Lecture

Effects of random deformation of an antenna surface on the current distribution.

Cosmological metrics

Dipole moment (electric) using the Dirac equation

Derivation of Boltzmann’s kinetic transport eqn. from Liouvilles equation of mechanics.

Lecture Antennas and Wave propogation Application to study the effect of quantum gravity on the electron and positron current field

Coherent states of the electromagnetic field.

Quantum gravity

Chandrashekhar limit

Gartner-Ellis method

Girsanov’s theorem

Problem: Compute

Interaction of the spin of an atom with a narrowband time varying electric field

Classical theory of photoelectron.

Quantum Boltzmann Equation for two particles

Scattering operator

Atom interacting with the laser em field

Semidirect products–an application for Shilpa and Vishal.

For Hitendre Dirac’s equn. in a gravitation field.

Tetrad for the Schwarzchild metric

Lorentz group acts on charge fields.

Simulation of the electron-positron field

Quantum Robotics

Atom interacting with a quantum field

Ricci tensor for a radially symmetric metric

Density evolution for quantum harmonic oscillator with forcing.

Impact of the work done by Indian Scientists on world science

RLS Lattice algorithm order and time updates for 2nd degree Volterna systems

Photo-electron detection probability