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Status:
Available0.0
0 reviewsISBN 10: 8122425976
ISBN 13: 9788122425970
Author: R.B. Singh
Introduction to Modern Physics (Vol. 1), 2nd Edition HB 1st Edition
(Paperback)
S. P. Mishra
NEW AGE INTERNATIONAL PUBLISHERS LTD.-NEW DELHI (2000)
UNIT I
SPECIAL THEORY OF RELATIVITY
CHAPTER 1 The Special Theory of Relativity.
1.1 Introduction
1.2 Classical Principle of Relativity: Galilean Transformation Equations.
1.3 Michelson-Morley Experiment (1881)
1.4 Einstein's Special Theory of Relativity
1.5 Lorentz Transformations
1.6 Velocity Transformation
1.7 Simultaneity
1.8 Lorentz Contraction
1.9 Time Dilation
1.10 Experimental Verification of Length Contraction and Time Dilation.
1.11 Interval
1.12 Doppler's Effect.
1.13 Relativistic Mechanics
1.14 Relativistic Expression for Momentum: Variation of Mass with Velocity
1.15 The Fundamental Law of Relativistic Dynamics
1.16 Mass-energy Equivalence.
1.17 Relationship Between Energy and Momentum.
1.18 Momentum of Photon
1.19 Transformation of Momentum and Energy
1.20 Verification of Mass-energy Equivalence Formula
1.21 Nuclear Binding Energy
Solved Examples
Questions...
Problems
UNIT II
QUANTUM MECHANICS
CHAPTER 1 Origin of Quantum Concepts
1.1 Introduction
1.2 Black Body Radiation
1.3 Spectral Distribution of Energy in Thermal Radiation
1.4 Classical Theories of Black Body Radiation
1.5 Planck's Radiation Law
1.6 Deduction of Stefan's Law from Planck's Law
1.7 Deduction of Wien's Displacement Law
Solved Examples
1.8 Photoelectric Effect
Solved Examples.
1.9 Compton's Effect
Solved Examples
1.10 Bremsstrahlung
1.11 Raman Effect
Solved Examples
1.12 The Dual Nature of Radiation
Questions and Problems
CHAPTER 2 Wave Nature of Material Particles
2.1 Introduction
2.2 de Broglie Hypothesis
2.3 Experimental Verification of de Broglie Hypothesis..
2.4 Wave Behavior of Macroscopic Particles
2.5 Historical Perspective
2.6 The Wave Packet
2.7 Particle Velocity and Group Velocity
2.8 Heisenberg's Uncertainty Principle or the Principle of Indeterminacy
Solved Examples
Questions and Problems
CHAPTER 3 Schrödinger Equation...
3.1 Introduction
3.2 Schrödinger Equation
3.3 Physical Significance of Wave Function
3.4 Interpretation of Wave Function ų in terms of Probability Current Density
3.5 Schrödinger Equation in Spherical Polar Coordinates....
3.6 Operators in Quantum Mechanics
3.7 Eigen Value Equation.
3.8 Orthogonality of Eigen Functions
3.9 Compatible and Incompatible Observables.
3.10 Commutator
3.11 Commutation Relations for Ladder Operators.
3.12 Expectation Value
3.13 Ehrenfest Theorem
3.14 Superposition of States (Expansion Theorem).
3.15 Adjoint of an Operator
3.16 Self-adjoint or Hermitian Operator.
3.17 Eigen Functions of Hermitian Operator Belonging to Different Eigen Values are Mutually Orthogonal
3.18 Eigen Value of a Self-adjoint (Hermitian Operator) is Real.
Solved Examples...
Questions and Problems
CHAPTER 4 Potential Barrier Problems
4.1 Potential Step or Step Barrier.
4.2 Potential Barrier (Tunnel Effect).
4.3 Particle in a One-dimensional Potential Well of Finite Depth.
4.4 Theory of Alpha Decay
Questions
CHAPTER 5 Eigen Values of 12 and L., Axiomatic: Formulation of Quantum Mechanics
5.1 Eigen Values and Eigen Functions of 12 And L,
5.2 Axiomatic Formulation of Quantum Mechanics.
5.3 Dirac Formalism of Quantum Mechanics
5.4 General Definition of Angular Momentum
5.5 Parity
Questions and Problems
CHAPTER 6 Particle in a Box
6.1 Particle in an Infinitely Deep Potential Well (Box)
6.2 Particle in a Two Dimensional Potential Well
6.3 Particle in a Three Dimensional Potential Well
6.4 Degeneracy
6.5 Density of States.
6.6 Spherically Symmetric Potential Well
Solved Examples......
Questions and Problems
CHAPTER 7 Harmonic Oscillator
7.1 Introduction
Questions and Problems
CHAPTER 8 Rigid Rotator.
8.1 Introduction
Questions and Problems
CHAPTER 9 Particle in a Central Force Field.
9.1 Reduction of Two-body Problem in Two Equivalent One-body Problem in a Central Force
9.2 Hydrogen Atom....
9.3 Most Probable Distance of Electron from Nucleus
9.4 Degeneracy of Hydrogen Energy Levels
9.5 Properties of Hydrogen Atom Wave Functions.
Solved Examples
Questions and Problems
UNIT III
STATISTICAL MECHANICS
CHAPTER 1 Preliminary Concepts
1.1 Introduction
1.2 Maxwell-Boltzmann (M-B) Statistics
1.3 Bose-Einstein (B-E) Statistics
1.4 Fermi-Dirac (F-D) Statistics.
1.5 Specification of the State of a System
1.6 Density of States.
1.7 N-particle System
1.8 Macroscopic (Macro) State
1.9 Microscopic (Micro) State
Solved Examples
CHAPTER 2 Phase Space
2.1 Introduction
2.2 Density of States in Phase Space
2.3 Number of Quantum States of an N-particle System
CHAPTER 3 Ensemble Formulation of Statistical Mechanics
3.1 Ensemble
3.2 Density of Distribution (Phase Points) in y-space
3.3 Principle of Equal a Priori Probability
3.4 Ergodic Hypothesis.
3.5 Liouville's Theorem
3.6 Statistical Equilibrium
Thermodynamic Functions
3.7 Entropy.
3.8 Free Energy
3.9 Ensemble Formulation of Statistical Mechanics
3.10 Microcanonical Ensemble
3.11 Classical Ideal Gas in Microcanonical Ensemble Formulation.
3.12 Canonical Ensemble and Canonical Distribution
3.13 The Equipartition Theorem...
3.14 Entropy in Terms of Probability
3.15 Entropy in Terms of Single Particle Partition Function Z₁
CHAPTER 4 Distribution Functions
4.1 Maxwell-Boltzmann Distribution
4.2 Heat Capacity of an Ideal Gas
4.3 Maxwell's Speed Distribution Function
4.4 Fermi-Dirac Statistics
4.5 Bose-Einstein Statistics
CHAPTER 5 Applications of Quantum Statistics.
Fermi-Dirac Statistics
5.1 Sommerfeld's Free Electron Theory of Metals.
5.2 Electronic Heat Capacity
5.3 Thermionic Emission (Richardson-Dushmann Equation)
5.4 An Ideal Bose Gas
5.5 Degeneration of Ideal Bose Gas
5.6 Black Body Radiation: Planck's Radiation Law
5.7 Validity Criterion for Classical Regime
5.8 Comparison of M-B, B-E and F-D Statistics
CHAPTER 6 Partition Function
6.1 Canonical Partition Function
6.2 Classical Partition Function of a System Containing N Distinguishable Particles...
6.3 Thermodynamic Functions of Monoatomic Gas
6.4 Gibbs Paradox
6.5 Indistinguishability of Particles and Symmetry of Wave Functions.
6.6 Partition Function for Indistinguishable Particles
6.7 Molecular Partition Function.
6.8 Partition Function and Thermodynamic Properties of Monoatomic Ideal Gas
6.9 Thermodynamic Functions in Terms of Partition Function
6.10 Rotational Partition Function
6.11 Vibrational Partition Function
6.12 Grand Canonical Ensemble and Grand Partition Function
6.13 Statistical Properties of a Thermodynamic System in Terms of Grand Partition Function
6.14 Grand Potential
6.15 Ideal Gas from Grand Partition Function
6.16 Occupation Number of an Energy State from Grand Partition Function:
Fermi-Dirac and Bose-Einstein Distribution
CHAPTER 7 Application of Partition Function
7.1 Specific Heat of Solids
7.1.1 Einstein Model
7.1.2 Debye Model
7.2 Phonon Concept
7.3 Planck's Radiation Law: Partition Function Method.
Questions and Problems
Appendix-A
UNIT IV
ATOMIC SPECTRA
CHAPTER 1 Atomic Spectra-I
1.1 Introduction
1.2 Thomson's Model
1.3 Rutherford Atomic Model
1.4 Atomic (Line) Spectrum.
1.5 Bohr's Theory of Hydrogenic Atoms (H, He+, Li++).
1.6 Origin of Spectral Series
1.7 Correction for Nuclear Motion
1.8 Determination of Electron-Proton Mass Ratio (m/M₁).
1.9 Isotopic Shift: Discovery of Deuterium
1.10 Atomic Excitation
1.11 Franck-Hertz Experiment
1.12 Bohr's Correspondence Principle
1.13 Sommerfeld Theory of Hydrogen Atoms.....
1.14 Sommerfeld's Relativistic Theory of Hydrogen Atom
Solved Examples.
Questions and Problems
412
CHAPTER 2 Atomic Spectra-II
2.1 Electron Spin
2.2 Quantum Numbers and the State of an Electron in an Atom
2.3 Electronic Configuration of Atoms
2.4 Magnetic Moment of Atom
2.5 Larmor's Theorem
2.6 The Magnetic Moment and Lande g-factor for One Valence Electron Atom
2.7 Vector Model of Atom
2.8 Atomic State or Spectral Term Symbol
2.9 Ground State of Atoms with One Valence Electron (Hydrogen and Alkali Atoms).
2.10 Spectral Terms of Two Valence Electrons Systems (Helium and Alkaline-Earths)
2.11 Hund's Rule for Determining the Ground State of an Atom
2.12 Lande g-factor in L-S Coupling
2.13 Lande g-factor in J-J Coupling
2.14 Energy of an Atom in Magnetic Field
2.15 Stern and Gerlach Experiment (Space Quantization): Experimental Confirmation for Electron Spin Concept
2.16 Spin Orbit Interaction Energy
2.17 Fine Structure of Energy Levels in Hydrogen Atom.
2.18 Fine Structure of H Line
2.19 Fine Structure of Sodium D Lines
2.20 Interaction Energy in L-S Coupling in Atom with Two Valence Electrons.
2.21 Interaction Energy In J-J Coupling in Atom with Two Valence Electrons
2.22 Lande Interval Rule
Solved Examples
Questions and Problems
CHAPTER 3 Atomic Spectra-III
3.1 Spectra of Alkali Metals.
3.2 Energy Levels of Alkali Metals...
3.3 Spectral Series of Alkali Atoms
3.4 Salient Features of Spectra of Alkali Atoms
3.5 Electron Spin and Fine Structure of Spectral Lines.
3.6 Intensity of Spectral Lines.
Solved Examples
3.7 Spectra of Alkaline Earths
3.8 Transitions Between Triplet Energy States.
3.9 Intensity Rules
3.10 The Great Calcium Triads
3.11 Spectrum of Helium Atom.
Questions and Problems
CHAPTER 4 Magneto-optic and Electro-optic Phenomena.
4.1 Zeeman Effect
4.2 Anomalous Zeeman Effect
4.3 Paschen-back Effect
4.4 Stark Effect
Solved Examples
Questions and Problems
CHAPTER 5 X-Rays and X-Ray Spectra
5.1 Introduction
5.2 Laue Photograph
5.3 Continuous and Characteristic X-rays.
5.4 X-ray Energy Levels and Characteristic X-rays
5.5 Moseley's Law.
5.6 Spin-relativity Doublet or Regular Doublet
5.7 Screening (Irregular) Doublet
5.8 Absorption of X-rays....
5.9 Bragg's Law
Solved Examples
Questions and Problems
UNIT V
MOLECULAR SPECTRA OF DIATOMIC MOLECULES
CHAPTER 1 Rotational Spectra of Diatomic Molecules
1.1 Introduction
1.2 Rotational Spectra-Molecule as Rigid Rotator
1.3 Isotopic Shift
1.4 Intensities of Spectral Lines
CHAPTER 2 Vibrational Spectra of Diatomic Molecules
2.1 Vibrational Spectra-Molecule as Harmonic Oscillator
2.2 Anharmonic Oscillator.
2.3 Isotopic Shift of Vibrational Levels.
CHAPTER 3 Vibration-Rotation Spectra of Diatomic Molecules
3.1 Energy Levels of a Diatomic Molecule and Vibration-rotation Spectra
3.2 Effect of Interaction (Coupling) of Vibrational and Rotational Energy on Vibration-rotation Spectra
CHAPTER 4 Electronic Spectra of Diatomic Molecules
4.1 Electronic Spectra of Diatomic Molecules
4.2 Franck-Condon Principle: Absorption
4.3 Molecular States
Examples
CHAPTER 5 Raman Spectra.
5.1 Introduction
5.2 Classical Theory of Raman Effect
5.3 Quantum Theory of Raman Effect
Solved Examples.
Questions and Problems
CHAPTER 6 Lasers and Masers.
6.1 Introduction
6.2 Stimulated Emission
6.3 Population Inversion
6.4 Three Level Laser
6.5 The Ruby Laser
6.6 Helium-Neon Laser
6.7 Ammonia Maser.
6.8 Characteristics of Laser.
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