Recent content by squareroot

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    Center of mass energy for two relativistic colliding particles

    Starting from the center of mass energy S = (E_{1} + E_{2})^2 - (\vec{p_1}+\vec{p_2}) knowing that E^2 = m_{0}c^4 + p^2*c^2 one has S = (E_{1} + E_{2})^2 - (\vec{p_1}+\vec{p_2}) = ( m_{0}c^4 + p_{1}^2*c^2) + m_{0}c^4 + p_{2}^2*c^2)^2 - p_{1}^2 - p_{2}^2 - 2p_{1}p_{2}cos \{theta} and then...
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    Recurrence relation for harmonic oscillator wave functions

    I know that. My question was related to the fact that I can check the recurrence relation ONLY if I normalize the Rnl's first. If I try to use the relation with non-normalized wave-functions the relation doesn't hold and I can't understand why the relation doesn't hold. That recurrence relation...
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    Recurrence relation for harmonic oscillator wave functions

    1. Homework Statement I've been using a recurrence relation from "Adv. in Physics"1966 Nr.57 Vol 15 . The relation is : where Rnl are radial harmonic oscillator wave functions of form: The problem is that I can't prove the relation above with the form of Rnl given by the author(above). I've...
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    Are Electronic States in a 1D Atomic Chain Eigenstates of the Hamiltonian?

    Homework Statement 1D atomic chain with one atom in the primitive cell and the lattice constant a. The system in described within the tight binding model and contains N-->∞ primitive cells indexed by the integer n. The electronic Hamiltonian is $$H_{0} = \sum_{n} (|n \rangle E_{at} \langle n |...
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    A Analytical evaluation of r^l integral

    Hello, I need to find the matrix elements of in the particular case where l = 1. This should have an analytical solution but I have no idea where to start with this demonstration. Any suggestions on where to start digging?Ty!
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    A Reduced matrix element for 0_ --> 0+ forbidden beta decay

    Hello Basically i need some help or references on proving that Working with spherical tensors in a 0_ ---> 0+ forbidden beta decay could you please give me some hints on how to do this proof? Thank you
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    A Calculation a reduced matrix element using E-Wigner Th.

    Hello. I fail to follow one step in the process of calculating ⟨la∥Y(L)∥lb⟩ . The spherical harmonics Yma(L)(r) represent the 2L+1 components of the spherical tensor of rank L. Writing the Eckart-Wigner th. for M = 0 yields: (1) Also one can write (2) Coupling L and lb to l: (3) Thus...
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    Solving Lagrangian Mechanics Homework in 2D Movement

    Homework Statement So, a particle is moving in a plane under the action of a force F that is oriented at all times to the direction of the center of the force.may r be the distance from the particle to the center of the force generator. Find the potential generator expression that occurs and...
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    What type of notebooks do you use to take notes?

    I've myself have lots of notebooks, full with math and physics notes, from high school and uni that i keep on my shelf. I ve used regular notebooks, 60 80 100 pgs, squared and i find that organizing them is a real mess!They bend, curl, tear and deteriorate. So I've been thinking about some...
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    Problem of conservation of linear mometum

    Curiosity Hey, i ve stumbled upon this thread, studied this problem and got some questions about it. My first question is related to time.When studying this system can you consider that all the projectiles are shot at once? In that case if we take the momentum of the projectiles Pp and the...
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    Yet another first order differential equation

    I ve looked over the link you posted but there they say "let C be eK , where K is a constant but in my textbook they wrote C(x) as if C depends on the value of x, but if C depends on x then C is no longer a constant...
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    Yet another first order differential equation

    Homework Statement okey, so i got stuck at another step in the way of solving de's.I've been studying DE of this form: y' + P(x)y = Q(x) Homework Equations The Attempt at a Solution So, first we solve y' + P(x)y=0 for y. \frac{dy}{y} = -P(x)dx , we integrate this and get...
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    First order differential equation

    Ah... Got it! thank you
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