"Particle in a Box" model using Guthrie's variation of Euler's contained Column Theory





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Published on Jun 7, 2012

This models the ubiquitous buckling effect that produces (conditions required) the waves described in Schrodinger Wave Equations. Fundamental structures can be produced with the addition of a flat top and bottom member in the present of a short range bonding force. This observer has produced very light weight and stable "structures" using this effect.

Could this be how atomic and sub-atomic structures are produced?????

* 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 is commonly used as an approximation for more complicated quantum systems.

* In 1757, mathematician Leonhard Euler derived a formula that gives the maximum axial load that a long, slender, ideal column can carry without buckling. An ideal column is one that is perfectly straight. The maximum load called the critical load causes the column to be in a state of unstable equilibrium; that is, the introduction of the slightest lateral force will cause the column to fail by buckling.



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