Nonlinear Wave Dynamics: Complexity and Simplicity (Texts in

Format: Hardcover

Language: English

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So, if we add the probabilities that the particle is somewhere all over space, this is the probability that the particle is in this little dx we integrated that must be equal to 1. For our first example we take the case of a free particle in quantum mechanics, i. e., a particle subject to no force. If you don't believe us, we'll dazzle you with some fancy words. 19th century Physics viewed everything as either a wave or a particle. We've said that if you know the wave function all over space at one time, it's determined everywhere.

Pages: 185

Publisher: Springer; 1997 edition (May 31, 1997)

ISBN: 0792345088

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We haven't really asked ourselves why the wave particle duality exists and why the quantum physics world is so bizarre where just about anything goes. I was told not to ask because I would end down an empty alley. I never stopped wondering until the one day when I had a dream and it was all revealed unto me. The wave particle duality exists to ensure that life would continue. If it didn't exist, black holes would eat up stars and eventually become 100% dark energy in the universe , e.g. http://portraitofacreative.com/books/mobile-satellite-communications-principles-and-trends. Mathematical nomenclature for frequency became incomplete http://portraitofacreative.com/books/linear-elastic-waves-cambridge-texts-in-applied-mathematics. Mechanical waves are those that require a medium for their transfer and include water waves, sound waves and waves in stretched strings. A disturbance at A causes a disturbance of a particle, that drags its neighbour's particles along with it until the disturbance reaches B , e.g. http://inspireinfosol.com/library/the-pinch-technique-and-its-applications-to-non-abelian-gauge-theories-cambridge-monographs-on. To my wife Georgia and my daughters Maria and Elizabeth. 4 Special Relativity 4.1 Galilean Spacetime Thinking. .. .. .. 4.2 Spacetime Thinking in Special Relativity 4.3 Postulates of Special Relativity. .. .. 4.3.1 Simultaneity. .. .. .. .. .. . 4.3.2 Spacetime Pythagorean Theorem 4.4 Time Dilation. .. .. .. .. .. .. .. 4.5 Lorentz Contraction. .. .. .. .. .. 4.6 Twin Paradox. .. .. .. .. .. .. .. 4.7 Problems. .. .. .. .. .. .. .. .. . 5 Applications of Special Relativity 5.1 Waves in Spacetime. .. .. .. .. . 5.2 Math Tutorial – Four-Vectors. .. . 5.3 Principle of Relativity Applied. .. . 5.4 Characteristics of Relativistic Waves 5.5 The Doppler Shift. .. .. .. .. .. 5.6 Addition of Velocities. .. .. .. .. 5.7 Problems. .. .. .. .. .. .. .. . 6 Acceleration and General Relativity 6.1 Acceleration. .. .. .. .. .. .. 6.2 Circular Motion. .. .. .. .. .. 6.3 Acceleration in Special Relativity. 6.4 Acceleration, Force, and Mass. .. 6.5 Accelerated Reference Frames. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . 7 Matter Waves 7.1 Bragg’s Law. .. .. .. .. .. .. .. .. . 7.2 X-Ray Diffraction Techniques. .. .. .. . 7.2.1 Single Crystal. .. .. .. .. .. .. 7.2.2 Powder Target. .. .. .. .. .. . 7.3 Meaning of Quantum Wave Function. .. . 7.4 Sense and Nonsense in Quantum Mechanics 7.5 Mass, Momentum, and Energy. .. .. .. . 7.5.1 Planck, Einstein, and de Broglie. .. 7.5.2 Wave and Particle Quantities. .. . 7.5.3 Non-Relativistic Limits. .. .. .. . 7.5.4 An Experimental Test. .. .. .. . 7.6 Heisenberg Uncertainty Principle. .. .. . 7.7 Problems. .. .. .. .. .. .. .. .. .. . 8 Geometrical Optics and Newton’s Laws 8.1 Fundamental Principles of Dynamics. . 8.1.1 Pre-Newtonian Dynamics. .. . 8.1.2 Newtonian Dynamics. .. .. .. 8.1.3 Quantum Dynamics. .. .. .. 8.2 Potential Energy. .. .. .. .. .. .. 8.2.1 Gravity as a Conservative Force. 8.3 Work and Power. .. .. .. .. .. .. 8.4 Mechanics and Geometrical Optics. .. 8.5 Math Tutorial – Partial Derivatives. .. 8.6 Motion in Two and Three Dimensions. 8.7 Kinetic and Total Momentum. .. .. . 8.8 Problems. .. .. .. .. .. .. .. .. . 9 Symmetry and Bound States 9.1 Math Tutorial — Complex Waves. 9.2 Symmetry and Quantum Mechanics 9.2.1 Free Particle. .. .. .. .. 9.2.2 Symmetry and Definiteness. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. download.
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