Reissuing works originally published between 1921 and 1988, Routledge Library Editions: 20th Century Science (20 volume set) offers a selection of scholarship covering historical developments in scientific thinking. Volumes range from Einstein's theories to quantum theory and genetics making this a comprehensive collection of previously out-of-print works. Many of the works review scientific advances in general or science and philosophy at the time; a great insight into the intellectual world of the 20th Century.
Author(s): Various; Temple
Year: 2014
Language: English
Pages: 6374
Cover
Half Title
Title Page
Copyright Page
Preface
Table of Contents
I. The Theory of Linear Operators
Complex Numbers as Operators
Two-dimensional Operators in General
Proper Vectors and Proper Values in Two Dimensions
Vectors in n Dimensions
Operators in n Dimensions
Projective Operators
Proper Vectors and Proper Values
The Canonical Form of a Symmetric Linear Operator
Unitary Operators
Groups of Unitary Operators
The Characteristic of an Operator
II. The Laws of Measurement in Atomic Physics
Atomic Physics
The Problem of Microphysical Measurement
The Law of Simple Observation
The Laws of Complex Observation
Compatible and Incompatible Observations
The Laws of Transitions
The Representation of States by Vectors
The Stern-Gerlach Experiment
The "Spectrum" of a Variable
The Representation of Variables by Linear Operators
The Uniqueness of the Representation of Variables by Operators
The Representation of the Sum or Product of Two Variables
The Square Root of an Operator
Wave Functions
III. The Exchange Relations and the Equations of Motion
The General Form of the Principle of Uncertainty
The Correspondence Principle
The Principle of Symmetry
The Exchange Relations
The Wave Operators
The Angular Momentum Operators
The Rotational Exchange Relations
The Matrix Representation of the Angular Momentum Operators
The Reflexion Operator
The Equations of Motion
The Harmonic Oscillator
The Main Properties of the Hamiltonian Operator
Radiative Transitions
The Identification of h
IV The Spin Operators
The Spin Operators
The Spin Variable
The Rotational Exchange Relations
The Spin Momentum
The Matrix Representation of N1, N2, N3
The Standard Representation in Terms of N3 and K = N ― ½hI
The Matrix Representation of the Spin Operators S1, S2, S3
The Selection Rules for X1, X2, X3
The Matrix Representation of Y1, Y2, Y3
The Relativistic Spin Operators
The Relativistic Wave Function
The Relativistic Hamiltonian Operator
V Composite Systems
The Exchange Relations
The Representation of the Vectors of a Composite System
The Selection Rules in a Composite System
The Symmetry of Systems containing Similar Particles
The Interaction Energy and Perturbation Theory
The Exclusion Principle
The Electron Configuration of Ideal Atoms
Quantum Statistics
General References
Index
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