Basic Concepts of Quantum Mechanics

Preface
Prelude: Can the System of Classical Physics Concepts Be Considered Logically Perfect?
Physics of the Microparticles
Certain Characteristics and Properties of Microparticles
Two Fundamental Ideas of Quantum Mechanics
Uncertainty Relations
Some Results Ensuing from the Uncertainty Relations
Impossibility of Classical Representation of a Microparticle
Rejection of Ideas of Classical Physics
Interlude: Is a ``Physically Intuitive'' Model of a Microparticle Possible?
Physical Foundations of Quantum Mechanics
Some Basic Experiments
Amplitudes of Transition Probabilities (Formulation of Basic Principles)
Amplitudes of Transition Probabilities (Demonstration of Basic Principles)
Superposition of States
Measurement in Quantum Mechanics
Interlude: Are These the Same Waves?, Or, Again on Waves in Quantum Mechanics
Causality in Quantum Mechanics
Microparticles with Two Basic States
The Electron in a Magnetic Field
The Wave Function
Quantum Mechanics as a Qualitative Leap in Man's Knowledge of the Laws of Nature
A Brief Interlude
Interlude: Do Quantum-Mechanical Concepts Contradict Our Common Sense?
Linear Operators in Quantum Mechanics
A Brief Look at the Theory of Linear Operators
From Hamiltonian Matrix to Energy Operator
Linear Operators in Quantum Mechanics
The Quantum-Mechanical Apparatus in Coordinate Representation
Applications of the Schrödinger Equation
The Hamiltonian in Some Specific Problems
Transition to the Momentum Representation
An Electron in a Periodic Field
The Probability of Quantum Transitions
Ways of Describing Evolution of Microsystems with Time
A Brief Historical Survey
Appendices
Eigenvalues and Eigenfunctions of a Hermitian Operator
Transition from Quantum Mechanics to Classical Mechanics
Commutation Relations
Commutation of Operators 2,
Some Special Functions
Linear Harmonic Oscillator
Subject Index
Bibliography