Recent content by Titan97

the particle moves along a ring. so the elemental length should be rdtheta

Homework Statement Normalized equation for particle in a ring, where V=0 on a ring of radius 'a' and infinite everywhere else. Homework EquationsThe Attempt at a Solution Replcing x by rθ, $$-\frac{\hbar^2}{2I}\frac{\partial^2\psi}{\partial\theta^2}=E\psi$$ By guess, I found out that...

@BvU high probabilty density does not mean high probability. How can you say psi*psi has to be maximum for probability to be maximum?

@BvU I argued this with my professor and so did others in my class. But he told this gives the probability even if it has a dimension.(I couldn't argue more as i trusted his statement becuase his education level is far higher than mine). I even got marks for using the above formula. I used...

A higher psi*psi means a higher probability density. Not a higher probability for different dV. Am I correct? And, After reading some articles, i found that ##4\pi r^2 R^2## (R is the radial wave function) gives the probability.

@haruspex I can't do a dr times the probability density. I need the probability as a function of r and theta. If I just take |R|^2, that will give me the probability density.

Homework Statement The radial wavefunction for ##3d_{z^2}## orbital is $$R=N\sigma^2e^{-\frac{\sigma}{3}}(3\cos^2\theta-1)$$ $$\sigma=\frac{r}{a_0}$$ Find r and θ for which the probabiity of finding the electron is maximum Homework Equations None The Attempt at a Solution ##R^2## gives the...

For example, why isn't F(z,y,z)=f(x)+g(y)+h(z) and only f(x)g(y)h(z)?

@Nugatory I am asking how can one be sure that a function f(x,y,z)=f(x)f(y)f(z)?

In a hydrogen atom, the wave function is written as R(r).Θ(θ).Φ(φ). But how is it separable when the electron is interacting with the nucleus?

Homework Statement For the particle in a box given in the above question, what is the probability of finding the electron between (i) x = 0.49 and 0.51, (ii) x = 0 and 0.020 and (ii) x=0.24 and 0.26 ( x in nm) for both n=1 and n=2. Rationalize your answers. Homework Equations...

@PeroK is it wise to stick with Griffith considering my zero knowledge in linear algebra? Where can I learn linear algebra?

Can you recommend a better book than griffiths? I keep getting more doubts. Like in the equation $$<p>=\int\psi *\frac{h}{2\pi i}\frac{\partial \psi}{\partial x}dx$$ why did griffith choose $$\frac{h}{2\pi i}\frac{\partial}{\partial x}$$ as the momentum operator?

:DD what about this part of the question:

Why does this happen? I mean why does the wave function collapse to an eigenstate after a measurement? What if it was never measured?