Recent content by Nitram

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    High School 'A Brief History of Time' question on gravity

    I'm reading through Stephen Hawking's 'A Brief History of Time' and came across this sentence in the second chapter: " If the law were that the gravitational attraction of a star went down faster or increased more rapidly with distance, the orbits of the planets would not be elliptical, they...
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    Separating a wave function into radial and azimuthal parts

    I know how to work through this problem but I have a question on the initial separation of the wave function. Assuming ##\psi(\rho, \phi) = R(\rho)\Phi(\phi)## then for the azimuthal part of the wavefunction we have ##\Phi(\phi)=B\left(\frac \rho\Delta cos\phi+sin\phi\right)##, but this function...
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    Undergrad Parity Eigenstates: X Basis Explanation

    On page 298 of Shankar's 'Principles of Quantum Mechanics' the author makes the statement : ""In an arbitrary ##\Omega## basis, ##\psi(\omega)## need not be even or odd, even if ##| \psi \rangle ## is a parity eigenstate. "" Can anyone show me how this is the case when in the X basis...
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    Undergrad A question about operator power series

    This was exactly what I was looking for, thank you! Thanks to everyone who replied also, it was all very helpful.
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    Undergrad A question about operator power series

    Thanks for the reply. I have tried the expansion and believe I can show that the operator series does not converge but I don't understand what the significance of this result is. Does it mean that because the series does not converge that the operator has no physical reality for that particular...
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    Undergrad A question about operator power series

    Hi All, I've been going through Shankar's 'Principles of Quantum Mechanics' and I don't quite understand the point the author is trying to make in this exercise. I get that this wavefunction is not a solution to the Schrödinger equation as it is not continuous at the boundaries and neither is...