The Schrodinger Equation And Wave Function

In classical mechanics, if a particle of mass m subject to a force F is to move along a specified x-axis, the position of the particle at any time is given by x(t). From its position, we can determine its velocity v=dx/dt, its momentum p=mv, its kinetic energy $E_{k} = \frac{1}{2} mv^{2}$ and so on. However, in the microscopic world, the …

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Synchronised Movement

Explanation by bobdahaxor: This is actually a demonstration of damped harmonic oscillation. The metronome needles are at the same speed and the only variable left is time. When he adds the board there is a transfer of angular momentum because of the phenomenon of angular momentum as a generator of rotation. As the soda cans move, angular momentum is being …

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Wave Function And Schrodinger Equation

A moving particle such as a proton or an electron can be described as a matter wave. Because it also exhibit wave-like properties according to de Broglie. Its wavelength called the de Broglie wavelength is given by λ=h/p where p is the momentum of the particle. The displacement of a matter wave is given by its wave function ψ which …

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Einstein’s significant 1905 papers

Albert Einstein was born in Ulm, southern Germany, in 1879. At school, he only seemed interested in mathematics. It is reported that one of his frustrated teachers remarked, “Einstein, you will never amount to anything.” He got into a college in Switzerland and only scraped through his final exams with the help of a friend’s lecture notes and, with the …

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Questions For Electromagnetic Induction (Set 1)

A horizontal bar is rotating at an angular velocity v about a vertical axis through its centre in a region of constant magnetic field B directed parallel to its vertical axis. What is the e.m.f. between the two ends of the bar? It is zero. It is proportional to the product Bv. It is proportional to the product Bv2. It …

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The uncertainty principle

The Heisenberg Uncertainty Principle states that a state of system cannot be prepared in which both the position and momentum of a particle can be defined simultaneously to arbitrary accuracy. $\Delta x \Delta p \ge \frac{\hbar}{2}$ Key Points: It is physically impossible to measure simultaneously the exact position and exact momentum of a particle. The inescapable uncertainties do not arise …

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