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Nonlinear wave mechanics of complex material systems
Nonlinear wave mechanics of complex material systems

... E being evaluated for the same quantity of matter, say an elementary reference volume of a continuum. In 1923 L. de Broglie recognized (see [1]) that the action S is a space-time invariant. Considering the Planck–Einstein relation E = hω , where h = h / 2π is the Planck reduced constant, the quantum ...
Quantum Mechanics 1 - University of Birmingham
Quantum Mechanics 1 - University of Birmingham

... To understand wave-particle duality and know the relationships between momentum, frequency, wavelength and energy for “particles” and “waves”. To be able to write down the Schrödinger equation for particles: in a 1D box; in 1- and 2-electron atoms; in 1- and 2-electron molecules. To know the origins ...
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Quantum Model of the Atom Power point

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... 3.2. Hockey puck #1 moving at 20 m/s makes an off-center elastic collision with an identical hockey puck, #2, that is at rest on horizontal, frictionless ice. Puck #1 is deflected at an angle of 20˚ from its original direction of motion. Find the velocity of pucks #1 and #2 after the collision, incl ...
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AP Quantum physics

... • Arthur Holly Compton showed the x-ray photons have a momentum of hf/c. • Recall the unit for the above, is it dimensionally consistent? • He showed the wavelength shift of a scattered x-ray only depends on the scattering angle. • So it gives up some of its energy to the scattered electron. ...
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class slides for Chapter 38

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... The classical (Rayleigh-Jeans) theory works okay for longer wavelengths but predicts that the intensity should continue to increase as the wavelength decreases. Planck assumed that an atom oscillating at frequency f can only have certain energies given by E = nhf. He quantized the energy of an atom, ...
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... Quantum field theory describes the quantum mechanics of fields, such as the electromagnetic field and the electron field. In this setup, particles and waves, both are different faces of the same type of object: the quantum field. Feynman’s pictorial representation of possibilities in the bubble of i ...
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... Therefore, does not give the whole story and we need additional information (hidden variables) to provide a complete description of the particle. Answer #2. The orthodox position. The particle was not really anywhere. It was an act of measurement that forced particle to "take a stand". We still have ...
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Physics 200A Theoretical Mechanics Fall 2013 Topics

... Phase space flow, Liouville’s Theorem, Poincare Recurrence Theorem f.) paths, paths vs. trajectory g.) abbreviated action, Fermat’s Principle h.) mechanical similarity, virial theorems ...
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REVIEW OF WAVE MECHANICS

... The wave function oscillates in space when the total energy E > V(r), the local potential energy. However when E < V(r) solutions of the TISE require the wave function to decay or grow exponentially. Clearly if the particle is to remain bound inside its well, its wave function must only decay into t ...
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Fiz 235 Mechanics 2002

... The air resistance (Fair) is proportional to the velocity of the particle and the wind velocity vw=w j. [ Fair = -b(v - vw) , b=constant ] Solve the equation of motion for x, y and z as function of time t. ...
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T3 F2013 9 30

... 6. At time t, r = 2t2i – 3t3j +k gives the position of a 2.0 kg particle relative to the origin of an xy coordinate system ( is in meters and t is in seconds). I. Find an expression as a function of time for a) the velocity b) the linear momentum c) the acceleration d) the force, of the particle re ...
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Final Exam Review

... 1. What is kinetic energy? What is the equation for finding kinetic energy? 2. What is potential energy? What is the equation for finding potential energy? 3. What are the units for energy? 4. Work = the change in what? 5. A 10 N force pushes a 40 kg cart 35 m, how much work is done on the cart? 6. ...
problems (hard) - IIT Portal.com
problems (hard) - IIT Portal.com

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