The approximations tag has no wiki summary.
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3answers
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Franck Condon Principle and Born Oppenheimer approximation
My question here is purely fundamental. I am confused with the concept in Franck Condon (FC) principle and Born Oppenheimer (BO) approximation. The FC principle is in accordance with the BO ...
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Approximations in simple pendulum
In the approximation $$-(g/ \ell) \sin \theta \approx -(g/ \ell) \theta $$ we make an error $R$ which is $O(\theta ^3)$. If i did well my calculations it is estimated by $$R\leq|(g / ...
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2D quantum well energy spectrum (analytical vs numerical)
I am trying to understand the energy spectrum difference between the analytical and the approximated solution for a quantum well.
The particle is inside a box with domain $\Omega=(0,0)$X$(1,1)$. For ...
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0answers
86 views
Measurement in Quantum mechanics
I have got a quantum conservative system whose Hamiltonian is $H$. I consider an selfandjoint operator $O$ whose eigenvalues and eigenvectors are: $$O|\psi _{n}\rangle = \lambda _{n}|\psi ...
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0answers
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Hooke's Law and the shape of coils
I've learned in school that the force in a coil is $F=kx$, linear on how much the coil is stretched. Two questions:
Is it always linear for every shape of a coil? Does it remain linear if we ...
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0answers
124 views
Question on energies obtained via WKB approximation
Suppose we are given an ODE problem $$ y''(x)+V(x)f(x)=E_{n} y(x) $$
with boundary conditions $ y(0)=y(\infty)=0$. Here $V(x)$ is a potential function.
Then is it always true that (for $n ...
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What is the difference between Mean Field Theory and Effective Medium Theory?
I understand that Effective Medium Theory (EMT) is a kind of Mean Field Theory (MFT), but I am unclear about the distinction.
What are the defining characteristics of a Mean Field Theory?
What ...
