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1 Electrons in Atoms
1 Electrons in Atoms

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Recap of Lectures 12-2

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... 1. The key idea is that a wave function represents a quantum state of a particle, a state of motion that bears only a passing resemblance to the well-defined trajectories of classical physics. ___________________________________________________________________________________________________________ ...
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... 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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... (a) Find the Lagrangian for this system that implies the equation of motion of Eq. (1) using Hamilton’s principle of stationary action. (b) Determine the canonical momentum for this system (c) Determine the Hamilton H(p, x) for this system. 2. (10 points.) The Hamiltonian is defined by the relation ...
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... The statement indicates that the electron has absorbed energy and moved out further away from the nucleus (into a higher energy level). The absorption of energy gives the electron a higher potential energy than it had in the ground state. 5. What type of energy causes an electron to move from its gr ...
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MSE 221 Quantum Physics of Materials

... Elementary quantum concepts, wave mechanics, energy states, bonding, transitions, electronic properties Prerequisite: PHYS 151 14 weeks, lectures (3 times a week), recitation (once a week) Introduction Old Quantum Theory, Bohr model, De Broglie, duality Interference and Diffraction—Young’s experimen ...
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Quantum Mechanics

... • KEmax should be proportional to the intensity of the impinging light wave. • The electron emission should occur at any frequency as long as the intensity of the light is high enough. • There should be a time interval between the switching on of the light and the emission of electrons, because E=I ...
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... • In the classical picture, the electrons in atoms orbit around the nucleus just as the planets orbit around the Sun. • However, the laws of mechanics and electromagnetism predict that an orbiting electron should continually radiate electromagnetic waves, and very quickly the electron would loose al ...
L 34 Modern Physics [1]
L 34 Modern Physics [1]

... • In the classical picture, the electrons in atoms orbit around the nucleus just as the planets orbit around the Sun. • However, the laws of mechanics and electromagnetism predict that an orbiting electron should continually radiate electromagnetic waves, and very quickly the electron would loose al ...
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Theoretical and experimental justification for the Schrödinger equation

The theoretical and experimental justification for the Schrödinger equation motivates the discovery of the Schrödinger equation, the equation that describes the dynamics of nonrelativistic particles. The motivation uses photons, which are relativistic particles with dynamics determined by Maxwell's equations, as an analogue for all types of particles.This article is at a postgraduate level. For a more general introduction to the topic see Introduction to quantum mechanics.
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