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6.1.1
6.1.1

... the system of “Classical Physics” slowly emerged with these fundamental ideas at its core… – Newton’s Laws define mechanics – Light is a WAVE – Atoms make up matter and are indivisible ...
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... point each time. Classical physics says identical systems with exactly the same initial conditions always lead to the same final result, in a deterministic and repeatable way. Is the distribution of final outcomes for the Plinko game (played 300 times) in this example in conflict with our theories o ...
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... 12. Establish a relation between wavelength of a moving particle and its kinetic energy. The wave length of a moving particle of mass 1.0 x 10-6 Kg is 3.312 x 10 -29 m. calculate its kinetic energy.( h= 6.625 x10 -34 JS ) ...
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... • Late 19th Century: try to derive Wien and StefanBoltzman Laws and shape of observed light spectra • used Statistical Mechanics (we’ll do later in 461) to determine relative probability for any wavelength l • need::number of states (“nodes”) for any l - energy of any state probability versus energy ...
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... description of the physical state of the system. We consider a composite system, consisting of the partial systems A and B which interact for a short time only. We assume that we know the wave-function of the composite system before the interaction – a collision of two free particles, for example – ...
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Name - Red Hook Central Schools
Name - Red Hook Central Schools

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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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