# All Questions

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### Why can we leave off half of the general solution?

In this pdf, it says at the bottom of the first page and beginning of the second: ... whose solution is: $$\Psi(\theta) = c_1 e^{i\omega\theta} + c_2 e^{-i\omega\theta}$$ Since we are ...
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### Correct approach for calculating excited states of circular quantum dot under effective mass approximation

From Asnani, Mahajan et al, Pramana Journal Of Physics 73 #3 (2009) p574-580 "Effective mass theory of a two-dimensional quantum dot in the presence of magnetic field", which can be seen here: ...
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### Group Theoretic definition of a particle

We intuitively have a sense of what a particle means in the conventional sense. But is it possible to have a group theoretical definition of a particle, I mean in terms of irreducible representations ...
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### Simple systems whose classical and quantum Hamiltonians differ

Dirac remarked in his quantum mechanics book: One can usually assume that the Hamiltonian is the same function of the canonical coordinates and momenta in the quantum theory as in the ...
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### AdS/CFT dual of $N$ D$p$-branes at finite temperature

The gravity dual of $N$ D$p$-branes at zero temperature is $$ds^2= H^{-1/2}(r)(-dt^2+dx_p^2) + H^{1/2}(r)(dr^2 + r^2d\Omega_{8-p}^2)$$ with $$H(r) = 1 + \left(\frac{R}{r}\right)^{7-p}$$ what ...
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### Question on pressure required on a fire hose pump [on hold]

Not entirely sure of how I transfer a pressure value to speed to reach the top of the building and also unsure of how the height of the fire hose affects the question.