Technical Books

This book is written for anybody who is curious about nature and motion. It covers the following topics Minimum action quantum theory for poets, Light the strange consequences of the quantum of action, Motion of matter beyond classical physics, The quantum description of matter and its motion, Permutation of particles, Rotations and statistics visualising spin, Superpositions and probabilities, quantum theory without ideology, Colours and other interactions between light and matter and Quantum physics in a nutshell.

This note covers the following topics: Time-Independent Non-degenerate Perturbation Theory, Dealing with Degeneracy, Degeneracy, Symmetry and Conservation Laws, Time--dependence, Two state systems, Hydrogen ion and Covalent Bonding, The Variational Principle, Indistinguishable Particles and Exchange, Self-consistent field theory, Fundamentals of Quantum Scattering Theory, Scattering in three dimensions, Quantum Scattering Theory, Partial Waves.

This note covers the following topics: Classical Physics, Waves, Probability Density, The Ultraviolet Catastrophe, Bragg X-ray Diffraction, Wave-Particle Duality, Particles and Fields, Heisenberg�s Uncertainty Principle, Wavefunctions - Schrodinger�s Equation, Quantum Tunnelling, Quantum States and Superposition, Two State Systems, Wavefunction Collapse, Interpretations of Quantum Physics, Probabilistic Determinism.

The contents of this pdf note include Quantum light and the two level system, decaying two level system, Cavity quantum electrodynamics, Fundamentals of laser theory, Cooling of atoms, Cavity optomechanics, Cooling of trapped ions, Collective effects super subradiance, Interaction of light with molecules.

The subject of most of this book is the quantum mechanics of systems which have a small number of degrees of freedom. This book is a mix of descriptions of quantum mechanics itself, the general properties of systems described by quantum mechanics, and general techniques for describing their behavior. Topics covered includes: Quantum mechanics in the language of Hilbert space, Time dependence in quantum mechanics, Propagators and path integrals, Density matrices, Wave mechanics, Angular momentum, Identical particles, Time independent perturbation theory, Variational methods and Time dependent perturbation theory.

This note covers the following topics The Mathematical Formalism of Quantum Mechanics, Postulates of Quantum Mechanics, Density Operator, Spatial Degrees of Freedom, Time Evolution in Quantum Mechanics, The WKB Method, Harmonic Oscillators and Coherent States, The Propagator and the Path Integral, Charged Particles in Magnetic Fields, Rotations in Ordinary Space, Rotations in Quantum Mechanics, and Rotations of Spin Systems, Representations of the Angular Momentum Operators and Rotations, Spins in Magnetic Fields, Orbital Angular Momentum and Spherical Harmonics, Central Force Motion, Hydrogen, Coupling of Angular Momenta, Irreducible Tensor Operators and the WignerEckart Theorem, BoundState Perturbation Theory, The Stark Effect in Hydrogen and Alkali Atoms, The Photoelectric Effect.

This note explains the following topics: The Classical State, Historical Origins of Quantum Mechanics, The Wave-like Behaviour of Electrons, Energy and Uncertainty, Quantum State, Operators and Observations, Rectangular Potentials, The Harmonic Oscillator, Spectrum of Angular Momentum, Aspects of Spin, Electron Spin, Approximation Methods, Quantum Mechanics as Linear Algebra, Feynman Path-Integral Quantization.

This book places emphasis on learning new theoretical methods applied to old non-relativistic ideas, with a eye to what will be required in relativistic field theory and particle physics. The result provides an introduction to quantum mechanics which is, unique. Topics covered includes: Linear algebra, Canonical quantization, Path integrals, Density matrix formalism, Thermal densities, Green functions, Identical particles, Symmetries, Wave equations, Supersymmetry, Spin systems, Electrons and phonons, Schrodinger perturbation theory, Angular momentum, Electrodynamics, Scattering theory.

This book covers the following topics: The classical description of a particle, Hilbert space formalism, Group theory, Lie algebra, The Green function approach, The evolution operator, Scattering theory, Quantum mechanics in practice, Dynamics and driven systems.

The contents of the notes include: The Schrodinger equation, Measurement and uncertainty, The harmonic oscillator, Angular momentum and spin, Particles in an external magnetic eld, Pictures in quantum mechanics, Particle in a central potential, Time independent Perturbation theory, Variational principle, Path integral formulation of quantum mechanics, Scattering Theory.

The topics discussed in this lecture notes include: Probability Amplitudes and Quantum States, Operators and Observables, Position and Momentum Representations,Time Evolution in Quantum Mechanics,Wave mechanics, Harmonic Oscillators,Transformations and Symmetries,Heisenberg picture and Heisenberg equation of motion, Rotational invariance and angular momentum as a good quantum number,Position representation and angular momentum, Angular momentum and magnetic moments,Spin and total angular momentum,QM systems composed of two parts, Product States vs entangled states, Addition of angular momenta, EPR experiment and Bell inequalities, Position representation, Energy eigenvalues and emission spectra of hydrogen, Explicit form of the wave functions.

This note contains below topics, General Approach, Comparison with Standard Formulations, Harmonic Oscillator and Perturbations, Unruh Effect, Summary and Outlook, Homological Algebra.

This note contains below topics, Worldvolume theories of M2branes, SCQM from flat M2branes, Curved M2branes and topological twisting, SCQM from M2branes in a K3 surface, Conclusion and discussion.

This note contains below topics, Discrete Quantum Mechanics, Unified Theory of Exactly Solvable dQM, New Orthogonal Polynomials, Summary and Comments.

This book online covers the following topics related to Quantum Mechanics : Introduction, 1D Wave Mechanics, Higher Dimensionality Effects, Bra-ket Formalism, Some Exactly Solvable Problems, Perturbation Theories, Open Quantum Systems, Multiparticle Systems, Introduction to Relativistic Quantum, Making Sense of Quantum Mechanics.