A Course in Quantum Mechanics 1st Edition by Nandita Rudra 1000527438 9781000527438

A Course in Quantum Mechanics 1st Edition by Nandita Rudra – Ebook PDF Instant Download/DeliveryISBN:  1000527438, 9781000527438 

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Product details:

ISBN-10 :  1000527438 

ISBN-13 :  9781000527438

Author:  Nandita Rudra 

The book is suitable for graduate and advanced level undergraduate students. Besides standard materials for the course, it also includes modern topics like coherent states, propagators and Feynman’s path integral method, Landau levels, Aharonov Bohm Effect, parity operation, time reversal symmetry and Dirac relativisticequation.Please note: Taylor & Francis does not sell or distribute the Hardback in India, Pakistan, Nepal, Bhutan, Bangladesh and Sri Lanka

A Course in Quantum Mechanics 1st table of contents:

1 Basic Concepts & Formulation
1.1 Introduction
1.2 Measurements
1.3 Basic Postulates
(i) Postulate 1. State of the System
(ii) Postulate 2. Superposition of States
(iii) Postulate 3. Operators for Dynamical Variables
(iv) Postulate 4. Eigenvalues and Eigenvectors of Operators
(v) Postulate 5. Hermitian Operator
(vi) Postulate 6. Basis Vectors and Completeness Condition
(vii) Expectation Value
2 Representation Theory
2.1 Elements of Representation Theory
(i) The Energy Representation, called the E-representatrion
(ii) Operators as Matrices
2.2 Change in Representation and Unitary Transformation
2.3 Commuting Observables
2.4 Uncertainty Relation
3 Position & Momentum Operators
3.1 Position Operator and its Eigenkets
3.2 Spatial Translation and Momentum Operator
3.3 Momentum Operator in Position Basis
3.4 Momentum Wavefunction
3.5 Gaussian as Minimum Uncertainty Wave Packet
3.6 Extension to Three Dimension
4 Time Evolution of Quantum Systems
4.1 Time Evolution Operator
4.2 The Schrödinger Equation of Motion
4.3 Time Dependence of Expectation Values: Ehrenfest Theorem
4.4 The Schrödinger and Heisenberg Pictures
4.5 The Heisenberg Equation of Motion
4.6 Operator Form of the Hamiltonian: Classical Analogue
4.7 Time Dependence of the Base Kets
5 Propagators and Feynman Path Integral
5.1 Propagators
5.2 Feynman’s Path
6 Application in One Dimension
6.1 Free Particle
6.2 Rectangular Potential Well
(i) Bound State Solution
(ii) Unbound State Solution
6.3 Rectangular Potential Barrier
6.4 Delta Function Potential
6.5 Oscillator Problem by Schrödinger Method
6.6 Linear Harmonic Oscillator by Operator Method
(i) Time Evolution of Oscillator
(ii) Coherent State
6.7 Periodic Potential
7 Rotation and Angular Momentum
7.1 Introduction
7.2 Rotation in Three Dimension
7.3 Rotation of System Kets
7.4 Eigenvalue and Eigenvectors of Angular Momentum
7.5 Matrix Representation of Angular Momentum Operator
7.6 Orbital Angular Momentum
8 Spin Angular Momentum
8.1 The Stern Gerlach Experiment
8.2 Matrix Representation of Spin
8.3 Finite Rotations in Spin-½ Space
8.4 Pauli Two Component Spinor Formalism
9 Addition of Angular Momenta
9.1 Addition of Two Angular Momenta Ĵ1 and Ĵ2
9.2 Addition of Orbital Angular Momentum and Spin of a Particle
9.3 Addition of Two Spins
10 Applications II
10.1 Hydrogen Atom
10.2 Charged Particle in Magnetic Field
(i) The Landau Levels
(ii) The Aharanov Bohm Effect
11 Symmetry in Quantum Mechanics
11.1 Symmetry Principle and Conservation Laws
(i) Symmetry and Degeneracy
11.2 Space Reflection or Parity Operation
11.3 Time Reversal Symmetry
12 Approximate Methods
12.1 Semiclassical Aprroximation or WKB Method
12.2 Rayleigh Schrödinger Perturbation
(i) Non-Degenerate Case
(ii) Perturbation Calculations for Degenerate Energy Levels
12.3 The Variational Method
13 Methods for Time Dependent Problems
13.1 Time Dependent Perturbation
13.2 Harmonic Perturbation
(i) Fermi’s Golden Rule
(ii) Ionization of Hydrogen Atom
13.3 Adiabatic Approximation
13.4 The Sudden Approximation
14 Scattering Theory I
14.1 Scattering Experiments: Cross Section
14.2 Potential Scattering
14.3 The Method of Partial Waves
14.4 The Optical Theorem
15 Scattering Theory II
15.1 The Lippmann Schwinger Equation
15.2 The Born Approximation
15.3 The Higher Order Born Approximation
16 Relativistic Wave Equations
16.1 Introduction
16.2 The Klein Gordon Equation
16.3 The Dirac Relativistic Equation
16.4 Conclusion

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