Schrodinger equation Definition and 549 Threads

in the schrodinger equation the integration constant in the angular wave equation is set to L(L+1). may i know why this is set ,what is the reason , thx!

Prove this function satisfies the time independent schrodinger equation. When V is constant. Psi = A e^(i k x) + B e^(-i k x) Attempt: Time independent schrodinger equation : (- (hbar^2) / 2m) * (d^2 Psi / d x^2) + V Psi = E Psi Second order derivative of Psi : (-k^2 A e^(i k x)) + (-...

Homework Statement Use the ground-state wave function of the simple harmonic oscillator to find xav, (x2)av, and \Delta x. Use the normalization constant A=(\frac{m\omega _0}{\overline{h} \pi })^{1/4}Homework Equations \psi (x) = Asin(kx) (f(x))_{av} = \int ^{\infty }_{-\infty } \left| \psi (x)...

Homework Statement I have a 2D square well with sides a. What is the minimum momentum and energy for this well? Homework Equations Minimum momentum given by Δp≈ℏΔx and Δp≈ℏΔy Minimum energy given by ΔE≈ℏΔt This might be right. It says to consider the Schrödinger Equation in 2D. I've never...

I have been studying QM and am interested in keeping to the non-relativistic theory for now. In many experiments of crossed gamma rays in the vicinity of a massive particle (or nucleus), pair generation of an electron and its anti-particle the positron is well described. In some instances, the...

Homework Statement see attachment Homework Equations TISEThe Attempt at a Solution a)When U>E -\frac{\hbar^2}{2m}\frac{d^2\Psi(x,t)}{d x^2}+U(x)\Psi(x)=E\Psi(x) leads to blahblahblah...(there is only transmittion no reflection as x to infty) \Psi(x)=Be^{-\alpha x}, where \alpha =...

Hi, I am having trouble understanding an example from a textbook I am reading on the Schrodinger equation. The example deals with an infinite square well in one dimension. With the following properties: V = 0\,where -a \leq x \leq a V = \infty\,|x| \geq a Where V is the potential. The...

How can time-independent schrödinger equation be proven? Do you know any source which explains it clearly? Thanks for replies.

Hi everyone, How can I solve hydrogen atom with discrete nonlinear schrödinger equation? Could you help me with the mathematics of that, please?

i know its a stupid question but I am a beginner: according to eisntein: E=K+m_{o}c^2 but the plane wave solution yields that particle's KE is its total energy,where free particle has no potential energy. But where is the rest mass energym_{o}c^2? Is it omitted?

1. I am writing one page on if there is free will(using physics). I concluded that there is no free will and I am trying to use Schrödinger equation in my paper, but i don't understand what its proving/means. And if possible can i get an example that will prove the equation(no math, just an...

Im new to all of this a just started studying quantum mechanics and the time-dependent schrodinger equation. What attributes must be known of a particle to use the schrodinger equation? Also is the wave function considered a constant?

Forgive me if this is a poorly asked question but I am not yet completely fluent in quantum mechanics and was just looking at the energy eigenvalue equation H|\Psi\rangle = i\hbar \frac{\partial}{\partial t}|\Psi\rangle = E|\Psi\rangle . We've got the Hamiltonian operator H acting on the state...

Hi every one .. Could anyone provide me a link of original schrodinger equation article in english?? I'll really approciate that

Homework Statement Write down the time independant schrodinger equation in the momentum representation for a particle with mass m when the potential is given by V (x) = 1/2 \gamma x2. A possible soloution of this schrodinger equation is of the form \Psi (p) = Ae-Bp2 / 2 Determine...

Hi there, I was expecting to find a "simulations forums" somewhere here, if there is a better place for this thread please let me know :) OK, here's the problem: I'm trying to make a simulation with PYthon, at first with a square potential, for simpler potential/boundary conditions. But...

What does it mean to "satisfy" the Schrodinger equation? Homework Statement Show that the 2p wave functions of the hydrogen atom satisfy the radial Schrodinger eq. One of the radial equations for the 2p state is \frac{1}{\sqrt{96 \pi a^{3}}} \frac{r}{a} e^{\frac{-r}{2a}} Homework Equations...

Homework Statement Starting with \psi(r,\theta,\phi)=R(r)Y(\theta,\phi) saubstitute into the Schrodinger equation and show (using the technique of separation of variables) that R satisfies: (\frac{\hbar^2}{2m}\frac{1}{r^2}\frac{d}{dr}(r^2\frac{d}{dr})+\frac{C}{2mr^2}+V(r))R=ER(r) Homework...

Homework Statement Hi, I've just started this new course about quantum mechanics and it begins, among others, with this question: [PLAIN]http://img710.imageshack.us/img710/2962/unbenanntfwg.jpg I'm really at a loss how to approach this one. Can anyone please help?

Homework Statement A particle of mass m and total energy E < 0 is confined to a potential given by: where \alpha is some positive constant. Show that the wavefunction is a solution of the time independent Schrodinger equation when x > 0. Find the associated energy Eigenvalue E.Homework...

Why does charge of a particle not appear in Schrodinger Equation even though mass appears? Chapter 5 Q No. 9 Quantum Physics of Atoms Molecules Solids Nuclei and Particles - Robert Resnick, Robert Eisberg

Can someone help me with this problem? show that the angular wavefunction Y1,1 is a solution to the schrodinger equation.

Some books begin QM by postulating the Schrodinger equation, and arrive at the rest. Some books begin QM by postulating the commutator relations, and arrive at the rest. Which do you feel is more valid? Or are both equally valid? Is one more physical/mathematical than the other? I...

The Pauli equation (seen here) contains its spin dependence in the term which reads \frac{1}{2m}\left[ \sigma\cdot\left(p-\frac{e}{c}A\right)\right]^2 So let B be any vector. Then \left( \sigma\cdot B\right)^2 =\left(\sigma_1 B_1 +\sigma_2 B_2 + \sigma_3 B_3\right)\left(\sigma_1 B_1...

Homework Statement I've attached my past paper question, which contains the relevant integral identity too. The Attempt at a Solution This question is relatively simple, yet I can't seem to complete it. I used the schrodinger equation which is: -(ħ²/2m)\nabla^2u + Vu = Eu...

Homework Statement This is really a maths problem I'm having. I need to get the general solution for the infinite square well in the form: u = A cos(kx) + B sin(kx) I found the general solution to be: u = A exp(ikx) + B exp(-ikx) Using Euler's formula: exp(ikx) =...

I am sure you are all aware of the Schrodinger equation. The Hamiltonian is included in this equations, which contains the Kinetic energy operator. When Schrodinger wrote thi he converted momentum to the unit imaginary number, the reduced Planck constant and the Delta operator. My...

Homework Statement In delta potential barrier problem Schrodinger equation we get \psi(x)=Ae^{kx}, x<0 \psi(x)=Ae^{-kx}, x>0 We must get solution of lim_{\epsilon \rightarrow 0} \int^{\epsilon}_{-\epsilon}\frac{d^2\psi}{dx^2}dx Homework Equations The Attempt at a Solution lim_{\epsilon...

ive been asked to show that the function of Y(x) = A sin (x) = 0 is a solution to the equation of d2Y(x) dx2 +k2Y(x)=0 where the Y is meant to be the lowercase wavefunctio psi...i just can't get it to work on this :( basiaclly I am completely...

Homework Statement Homework Equations This is what I'm trying to obtain, in terms of the elements in the question. Assuming that these 'x' values are 'z'. The Attempt at a Solution I'm not really understanding what it is being asked here. Do I just substitute the value of V(z) into...

While messing around with the Schrödinger equation on paper, I found an interesting, elegant way of expressing it. Let P be the probability density |\Psi |^2, and let \vec Q be a real-valued vector field. \vec F is a vector field describing the forces acting on the system when in a given...

In his lectures on Quantum Physics, Richard Feynman derives the Hamiltonian matrix as an instantaneous amplitude transition matrix for the operator that does nothing except wait a little while for time to pass.(Chapter 8 book3) The instantaneous rate of change of the amplitude that the wave...

I just have a small question, In my book it says that the schrodinger equation, i\hbar\frac{\partial\Psi}{\partial t} = \frac{\hbar^2}{2m}\frac{\partial^2\Psi}{\partial x^2} + V\Psi rearranged is, \frac{\partial\Psi}{\partial t} = \frac{i\hbar}{2m}\frac{\partial\Psi ^2...

I can understand that if z= a + ib then z*=a - ib, where the definition of the complex conjugate is reversing the sign in front of the imaginary part. I'm now confused about how the complex conjugate works in the TISE. in a stationary state, i\hbar\frac{\partial\Psi}{\partial\\t}= E\Psi...

Homework Statement Show that the time-dependent Schrodinger equation is separable when V depends on time only and is uniform in space (i.e., V = V (t)). Homework Equations The Attempt at a Solution In the attached document

hey guys first post so sorry if this has already been asked :S what exactly is meant by the separation of variables in the schrodinger equation? also what co-ordinate system would i use to solve for an electron in a hydrogen-like ion? thanks

Homework Statement Find the width L of a one-dimensional box for which n=5 level would correspond to the absolute value of the n=3 state of a hydrogen atom Homework Equations am i suppose to use n2h2/8mL2 where n=5 to equate it to the n=3 state of the hydrogen atom? which is -13.6eV/32...

http://img18.imageshack.us/img18/4295/eqn.png here is the text preceding the exercise: http://yfrog.com/5mch5p in the exercise, where does the factor \frac{m}{(2mE)^{1/2}} come from? Comparing that equation with 5.19 (bottom right of link), why can't we just replace |p> with |E,+> and |E,->...

hi is there any way we can find \Psi(x,t) for a given \psi(x,0) ? i got stuck with schrodinger equation...

Hi everybody! I'm studying the simple case of the solution of the Schrodinger equation for a step potential "[URL .[/URL] As my professor states , the transmission coefficient is 0 when the energy of the particle is E<V. I really don't get how this result is not a contradiction with the fact...

Hi, I'm a physics undergraduate, and I'm having trouble understanding Atomic Physics right now. At first I thought it (the question in the title) is possible, but then I think I got confused with particle in a box. So I refer to textbooks and look for answers in the internet, and confirmed...

Hi Most of my work in the past has been on 1D independent particle systems where I use matrix diagonalisation to solve the time-independent Schrodinger equation. How do I go about this for 2D? Or, more accurately, for a two-body wf in 1D? It strikes me as straightforward to construct a...

Homework Statement I have just started quantum mechanics bacuase i want to prepare for my class starting in march. I must say so far i find it very confusing: I could use some help with this problem and in addition some explanation on the logic of what it all means. i get that this theory...

Sorry in advance my english, I tried to translate it to english as good as I can Homework Statement When l has its maximum value, the hydrogen atom radial equation has a simple form of R(r) = Arn-1e-r/na0, where a0 is Bohr's radius. Write the respective radial schrödinger equation. Homework...

Homework Statement One possible solution for the wave function ψn for the simple harmonic oscillator is ψn = A (2*αx2 -1 ) e-αx2/2 where A is a constant. What is the value of the energy level En? Homework Equations The time independent Schrodinger wave equation d2ψ / dx2 =...

We started Quantum Physics in class, and I tried working out the Schrodinger Equation (not mathematically, of course - that's far beyond my level. Just the vague concepts) I understand it's basically a function that shows how something changes in time, and a snapshot of it at one particular...

Homework Statement I am trying to find the coefficients in a Schrodinger equation approaching a finite potential. https://www.physicsforums.com/showthread.php?t=203385 It is a problem similar to this, except a little easier. In my case, though, there is no V1 as shown in the picture at the...

Hey guys, I am trying to understand where did this equation exactly come from. I know it is very complex, but anyone can explain it to me in the best way possible?

Homework Statement Consider an electron in the hydrogen atom with radial wave function R_{31} (n=3, l=1). Please verify that this radial function verifies the radial equation. Homework Equations The radial equation \frac{1}{r^{2}}\frac{d}{dr}\left(r^{2}\frac{dR}{dr}\right) +...

The Schrodinger equation with the minimal coupling to the Electromagnetic field, in the Coulomb gauge \nabla \cdot A , has a continuity equation \partial_t \rho = \nabla \cdot j where j \propto Re[p^* D p] (D is the covariant gradient D= \nabla + iA . My question is: is there any...