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Chapter 8 - Clayton State University
Chapter 8 - Clayton State University

... behavior of electrons using a new branch of physics called quantum mechanics. The names to remember are Niels Bohr, Werner Heisenberg and Erwin Schrödinger. Mechanics is a branch of physics that deals with forces and movement. Classical mechanics is based on Newton’s laws of motion. Classical mechan ...
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... a chain of carbon atoms. Electrons of the bonds along the chain of carbon atoms are shared among the atoms in the chain, but are repelled by the nitrogen-containing rings at the end of the chain. These electrons are thus free to move along the chain but not beyond its ends. They look very much like ...


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... electron was observed from the diffraction pattern created by a stream of electrons.  Schrodinger (1926)-Developed an equation that correctly accounts for the wave property of the electron and all spectra of atoms. (very complex) ...
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... deterministic control of distant, solid state qubits encoded in excitons in semiconductor quantum dots [1-3]. In these experiments, we have employed a technique called optimal quantum control (OQC), in which one tailors the phase and amplitude of the control Hamiltonian through femtosecond pulse sha ...
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... charged electrons were pulled into the nucleus by electrostatic attraction. Unless we constantly added energy to the electrons, their velocity would slow, and they would spiral into the nucleus and collapse the atom. But, in the subatomic quantum world, atoms are subject to quantum mechanics rather ...
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... in a heated solid could absorb or emit electromagnetic energy only in discrete amounts; hypothesized that energy is not continuous but existed in discrete bundles called quanta •The smallest amount of energy, a quantum, is given by: E = hv, where h is Planck’s constant: = 6.626 × 10–34 J s ...
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lesson 5: De Broglie Waves / matter waves
lesson 5: De Broglie Waves / matter waves

... of about 10-5 m in width would imply that the bowling ball would have to travel at about 10-29 m/s, which would mean that it would take a very long time (longer than the age of the universe) to pass through the slit. The conclusion we draw from this is that in our everyday lives we are protected fro ...
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Particle in a box



In quantum mechanics, the particle in a box model (also known as the infinite potential well or the infinite square well) describes a particle free to move in a small space surrounded by impenetrable barriers. The model is mainly used as a hypothetical example to illustrate the differences between classical and quantum systems. In classical systems, for example a ball trapped inside a large box, the particle can move at any speed within the box and it is no more likely to be found at one position than another. However, when the well becomes very narrow (on the scale of a few nanometers), quantum effects become important. The particle may only occupy certain positive energy levels. Likewise, it can never have zero energy, meaning that the particle can never ""sit still"". Additionally, it is more likely to be found at certain positions than at others, depending on its energy level. The particle may never be detected at certain positions, known as spatial nodes.The particle in a box model provides one of the very few problems in quantum mechanics which can be solved analytically, without approximations. This means that the observable properties of the particle (such as its energy and position) are related to the mass of the particle and the width of the well by simple mathematical expressions. Due to its simplicity, the model allows insight into quantum effects without the need for complicated mathematics. It is one of the first quantum mechanics problems taught in undergraduate physics courses, and it is commonly used as an approximation for more complicated quantum systems.
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