Recent content by ertansinan

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    Graduate How Do We Compute the Expectation Value <x̂p̂> in Quantum Mechanics?

    How can we compute the expectation value, <\widehat{x}\widehat{p}> where ψ(x) is a normalized wavefunction? (The result is i\hbar/2)
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    Solving 2nd Order ODEs: y^4 -3y'' -4y = 0

    This is ODE with constant coefficients.. Suppose that the solution is y=e^rx, than solve it! i find that r=2, r=-2, r=i, r=-i which means that complementary solution of eqn is y=c_1*e^2x + c_2*e^-2x + c_3(sinx) + c_4(cosx)
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    PDE Textbooks for Undergraduates

    boyce and diprima is also good http://bcs.wiley.com/he-bcs/Books?action=index&itemId=0471433381&itemTypeId=BKS&bcsId=2021
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    Undergrad A Reverse Startup Oscillation?

    Think about you are in the space with no gravity. When you pull the one end of ruller you will create torque on it. Because of this free end rotates with respect to center of mass. Then you can think about the gravity. Gravity creates oscillation here? Is it clear?