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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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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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

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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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 …

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Introduction to Modern Physics

Physics 3305 - Modern Physics Professor Jodi Cooley Introduction to Modern Physics Welcome to Phy 3305 5th Solvay Conference on electrons and photons 17 Nobel prize winners in the photo. Physics 3305 - Modern Physics Professor Jodi Cooley ... -Special Relativity -Quantum Mechanics c)With an understanding of these branches, we can then

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Lecture Notes on General Relativity Columbia University

Special Relativity In both past and modern viewpoints, the universe is considered to be a continuum composed ... proceed by replacing these assumptions with the postulates of special relativity. 1.1 Newtonian Physics Main assumptions The primary assumptions in Newtonian physics are the following 1.There is an absolute notion of time. This ...

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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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Minkowski space-time diagram in the special relativity ...

Department of Physics, SUNY at Binghamton (Date: January 13, 2012) Albert Einstein (14 March 1879 – 18 April 1955) was a German-born theoretical physicist who developed the theory of general relativity, effecting a revolution in physics. For this achievement, Einstein is often regarded as the father of modern physics.

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Solved Problems in Special Relativity

students in the Department of Physics at that time. The problems are from Chapter 1 Relativity of the course text Modern Physics by Raymond A. Serway, Clement J. Moses and Curt A. Moyer, Saunders College Publishing, 2nd ed., (1997). Standard Inertial Frames

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PHYSICS FOR BEGINNERS - The Nature of Things

Nov 20, 2008 · Chapter 12 - SPECIAL RELATIVITY 75 Chapter 13 - GENERAL RELATIVITY 89 Chapter 14 - INSIDE THE ATOM 96 ... physics to motivated beginners, that is, ... Modern physics - as the systematic study of nature based on observation, experimentation, reason and mathematical analysis - had its beginnings in ...

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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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Modern Physics Notes

5 B. Special Relativity 1. Michelson-Morley a. Wave speeds Midway through the 19th century, it was established that light is an electromagnetic (E-M) wave. Maxwell showed that these waves propagate through the vacuum with a speed c ≈3x108 m/sec. Now, wave motion was well understood, so it was expected that light waves would behave

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General Relativity - University of Cambridge

lecture notes on Special Relativity and Quantum Field Theory, but it does agree with the lecture notes on Cosmology and on String Theory. There is some mild logic behind this choice. When thinking about geometry, the choice ( + ++) is preferable as it ensures that spatial distances are positive; when thinking about quantum physics, the

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Modern Physics - Sicyon

earlier chapters to more specialized areas of modern physics. In particular, Chapter 11 discusses the physics of molecules, while Chapter 12 is an introduc-tion to the physics of solids and electronic devices. Chapters 13 and 14 cover nuclear physics, methods of obtaining energy from nuclear reactions,

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