Homework Statement
Solve the Schrödinger Equation for an harmonic potential of the form (1/2)m\omega_+^2x^2 for x>0 and (1/2)m\omega_-^2x^2 for x<0. Find the equation that determines the energy spectrum. You can use m=1/2 and \hbar=1
Homework Equations
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I wrote down Schrödinger Equation...
Hello,
I am studying on my own from Weinberg's Gravitation and Cosmology and I cannot understand how he derives a solution (pg. 72). I did not know where else to post this thread since it is not homework exercise.
He takes a coordinate system ## \xi^a## "in which the equation of motion of a...
Hello everyone,
First of all, I am a third year undergraduate student. I have just finished studying (on my own) Sakurai' s "Modern Quantum Mechanics" (and I have done almost all exercises). I have taken courses in Complex Analysis (contour integration, residues etc) and in PDE (unfortunately...
Thanks for your reply!
I forgot to mention that! I have taken already a course in special relativity, where we used rindler's book. Do I need more? I am familiar with 4 vectors and the electromagnetic field tensor. Should I study GR first also?
Hallo everyone!
I am studying Physics at University level. This Fall I will enter the third year of my studies. I find the curriculum inadequate and thus try to learn stuff on my own.
I have already taken the basic courses in Calculus (single and multivariable), Complex Analysis (analytic...
Homework Statement
The effective potential between two atoms of same mass m is:
V(x)=-a\frac{1}{x}+b\frac{1}{x^2}
where a,b>0 and x is the distance between them.
(a) Calculate (order of magnitude) the distance between the two atoms in the molecule and its minimum possible energy.
(b)...
The problem stated below is from Liboff "Introductory Quantum Mechanics" (2nd Edition), exercise 5.4.
Homework Statement
A pulse ## 1m ## long contains ##1000 \alpha ## particles. At ## t=0## each ##\alpha## particle is in the state:
\psi (x,0)=\frac{1}{10}\exp (ik_ox)
for |x|\leq 50cm and...