THE SPECIAL THEORY OF RELATIVITY - Macquarie University

THE SPECIAL THEORY OF RELATIVITY Lecture Notes prepared by J D Cresser Department of Physics Macquarie University July 31, 2003

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Time Evolution in Quantum Mechanics - Macquarie University

Chapter 15 Time Evolution in Quantum Mechanics Physical systems are, in general, dynamical, i.e. they evolve in time.The dynamics of classical mechanical systems are described by Newton’s laws of motion, while the dynamics of the

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Particle Spin and the Stern-Gerlach Experiment

Chapter 6 Particle Spin and the Stern-Gerlach Experiment The spin of an elementary particle would appear, on the surface, to be little different from the spin of a macroscopic object – the image of a microscopic sphere spinning around some axis

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Chapter 6 P article Spin and the Ster n-Gerlach Experiment

Chapter 6 P article Spin and the Ster n-Gerlach Experiment 50 where m e and # e are the mass and char ge of the electron, S is the spin angular momentum of the electron, and g is the so-called gyromagnetic ratio, whic h classically is exactly equal

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Observables and Measurements in Quantum Mechanics

haustive collection of results obtained when measuring some physical property, or observable, of the system. This linking of particular states with particular measured results provides a way that the observable properties of a quantum system can be described in quantum mechanics, that is in terms of Hermitean operators.

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Quantum Physics Notes - Macquarie University

ing of the quantum information aspects of quantum mechanics, and which may perhaps one day finally lead us to a full understanding of quantum mechanics itself. The Language of Quantum Mechanics As mentioned above, quantum mechanics provides a framework into which all physical theories must fit.

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Some Useful Properties of Complex Numbers

Real and imaginary parts The real and imaginary parts of the complex number z= x+ iyare given by Real part Rez= x Imaginary part Imz= y: (1) with Re(az 1 +bz 2) = aRe(z 1)+bRe(z 2) and Im(az 1 +bz 2) = aIm(z 1)+bIm(z 2) (2) where aand bare both real numbers. Complex conjugate The complex conjugate of a complex number z, written

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The Wave Function - Macquarie University

The wave function or wave packet so constructed is found to have essentially zero ampli- tude everywhere except for a single localized region in space, over a region of width 2∆ x , i.e. the wave function Ψ( x , t ) in this case takes the form of a single wave packet, see Fig. (3.3).

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Probability, Expectation Value and Uncertainty

The uncertainty of the observable A is a measure of the spread of results around the mean #Aˆ!. It It is defined in the usual way, that is the difference between each …

  Uncertainty

PHYS201 - Wave Mechanics - Macquarie University

PHYS201 Wave Mechanics Semester 1 2009 J D Cresser jcresser@physics.mq.edu.au Rm C5C357 Ext 8913 Semester 1 2009 PHYS201 Wave Mechanics 1 / 86

Electromagnetism - University of Cambridge

5. Electromagnetism and Relativity 95 5.1 A Review of Special Relativity 95 5.1.1 Four-Vectors 96 5.1.2 Proper Time 97 5.1.3 Indices Up, Indices Down 98 5.1.4 Vectors, Covectors and Tensors 99 5.2 Conserved Currents 102 5.2.1 Magnetism and Relativity 103 5.3 Gauge Potentials and the Electromagnetic Tensor 105 { 4

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Electromagnetism - University of Cambridge

5. Electromagnetism and Relativity 95 5.1 A Review of Special Relativity 95 5.1.1 Four-Vectors 96 5.1.2 Proper Time 97 5.1.3 Indices Up, Indices Down 98 5.1.4 Vectors, Covectors and Tensors 99 5.2 Conserved Currents 102 5.2.1 Magnetism and Relativity 103 5.3 Gauge Potentials and the Electromagnetic Tensor 105 { 4

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Modern Physics Notes

This still implies that the “Laws” of electromagnetism behave differently under a transformation from one reference frame to another than do the “Laws” of mechanics. 2. Postulates of Special Relativity a. Principle of Special Relativity It doesn’t seem sensible that one “part” of Physics …

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THE SPECIAL THEORY OF RELATIVITY

Relativity (both the Special and General) theories, quantum mechanics, and thermody-namics are the three major theories on which modern physics is based. What is unique about these three theories, as distinct from say the theory of electromagnetism, is their generality. Embodied in these theories are general principles which all more specialized or

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General Relativity - University of Toronto Department of ...

Relativity and unveil the fascinating properties of black holes, one of the most celebrated predictions of mathematical physics. The course will start with a self-contained introduction to special relativity and then proceed to the more general setting of Lorentzian manifolds. Next the Lagrangian formu-

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Einstein's General Theory of Relativity

List of Problems Chapter 1 17 1.1 The strength of gravity compared to the Coulomb force . . . . 17 1.2 Falling objects in the gravitational eld of the Earth ...

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AN INTRODUCTION TO PHYSICS

b) Electromagnetism, whose objective is to study how charges behave under the influence of electric and magnetic fields as well as understand how charges can create these fields. c) Thermal Physics, in which one studies the nature of heat and the changes that the addition of heat brings about in matter.

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