Wave function Definition and 878 Threads

Scientists wan't to know where wave function collapse occures. I have found at least one. Take the experiment of shooting electrons through two holes that are close together and seeing where they land at a detection screen on the other side. If you shut one hole you get a particle or lump...

I need to explain why, as the energy of a bound state in a finite potential well increases, the wave function extends more outside of the well. I need to do this from both a mathematical and a physical point of view. I think I know the mathematical explanation (see attached image). Can anyone...

for the following question: the wave function of a moving particle (a) reflects the probablity of finding the particle at a particular place and all the time (b)reflects the probablity of finding the particle at a particular place and a particular time (c)reflects the probablity of finding the...

I didn't find an article about this so I'll ask it here: How does the quantum mechanical wave function of a particle arise in ST? Sorry if it has been asked before, but I couldn't find a topic about it.

Normalization of a wavefunction Let Phi be a wave function, Phi(x)= Integral of {exp(ikx) dk} going k from k1 to k2 I'm having trouble normalizing the wave function. I calculated the integral, then multiply by its conjugate and now I'm supposed to integrate again /Phi(x)/^2 in all...

Hey! Here is one that I thought would be easy: Two traveling waves move on a string that has a fixed end at x=0. They are identical except for opposite velocities. Each has an amplitude of 2.46mm, a period of 3.65ms, and a speed of 111m/s. Write the wave function of the resulting standing...

A short question: I've learned that the wave function corresponding to a free particle has this form: Psi(x,0)=1/sqrt(2*Pi)*Integral[g(k)*E^(ikx)dx] (i can't write it in Latex, sorry) Is it just for the free particle, or any quantum state of a system can be represented in this form...

The Second Ring of Life; The Vesica Attractor by Christopher Humphrey Abstract The fossil record shows a disparity in the formation of complex body plans. The individual eukaryote cannot build these structures. They do not carry within themselves a blue print for an overall structure...

i am having difficulty with the wave function. for example in the exercise we are told to write the expression : a cos x+ b sin x in the form k cos(x-a) This i had little problem with and was able to work out what quadrant i shoul use etc what i mean is the all positive. sin positive...

Hey, if anyone can throw in some thoughts I am a little lost. Not sure If I need to integrate, or what. Thanks for any help. The wave function for a hydrogen atom in the 2 s state is:(attachment) I need to Calculate the probability that an electron in the 2 s state will be found at a...

What if complex biological systems emerged as a result of a wave function firstly, and the biochemical components followed after. Can this new perspective better explain organizational gaps in evolution. The Phi-Wave Aether: a Wave Theory of Everything Caroline H Thompson...

Hey. I am pretty confident i have solve this problem. I just solve the integral of the given wave function, with the given limits... However, I am having a difficult time integrating it. The sqrt(2/L) can be brought outside of the integral, but what can i with the sin function? The wave...

Hi, I have a question about the mathematical requirements of a wave function in a potential that is infinite at x \leq 0. (At the other side it goes towards infinity at x = \infty.) Now, given a wave function in this potential that is zero for x = 0 and x = \infty. Does it matter what that...

Have known a wave function, how get does distributing density function of the probability?

How exactly does one find a wave function? Specifically, I am asked to find the momentum space wave functoin for the nth stationary state in an infinite square well. Then I am to graph the probability density (phi sqaured) for the first and second energy levels. Lastly, I need to use the...

Hi there. We always put the time dependent part of the wave functions as e^(iwt). Of course there is a reason! but I don't know it. Can you help me? Thanks in advance. Somy :smile:

On My Last Straw Trying to Find a Wave Function I am horribly confused as how to I can actually find a wave function for any given problem. The specific wave function I am trying to find right now is that of a neutron passing through a double slit apparatus. Here is how I have the problem set...

hey who can help me with this physics problem? A particle of mass m is in the state: Ψ (x, t) = Aexp[-a(sqrt (mx^2) / h)-i (at / sqrt(m )) ] where A and a are positive real constants. a) Determine A. b) What is the frequency ƒ associated with the wave function of this particle? Explain...

I'm reading an introductionary text on quantum physics and am stumbling a bit with the terms used. The text discusses a finite potential box (one dimension, time independent). It calculates the conditions for the solutions of the wave functions, which I can follow perfectly. At that point...

Hey, We are given the 1s spatial wave function for the hydrogen atom: \psi(\vec{r}) = \frac{1}{\sqrt{a_{0}^3r}}e^{-r/a_{0} We are asked to find the momentum space wave function \phi(\vec{p}). Obviously this is just the Fourier transform of the spatial wave function. In calculating...

I have to show that if a wave function (Schrodinger) has a potential V(x) and the wave function's complex conjugate has a potential V'(x) and V(x) does not equal V'(x), this contradicts the continuity equation dp/dt + div J =0 where p=charge density, and J=current density. Can someone...

As is always my problem with physics homework, I am probably thinking to hard about this... however, I am not sure how to express this wave function! This is the question: 24) The time independent wave function of a particle is given in the graph below. The function rises linearly from the...

Hate to ask another one of these questions, but I've just read something about the collapse of the wave function that does not seem consistent with other accounts I've read about it. From what I understand, the wave function of a system is collapsed automatically by interaction with another...

please refer to the attachment. what is the physical meaning of g(k)?

You're not understading: Let me give you all my work to alleaviate any confusion. Show that A = (2/L)1/2 &psi(x) = A Sin(&pi x/L) &psi2(x) = A2 Sin2(&pi x/L) [inte]0L &psi2dx = 1 A2[inte]0L Sin2(&pi x/L) dx = 1 Actually... I forgot to resubsitute... BTW: I only use a...

I assume that some speed limit must exist that limits how often we can measure something - if is exists, perhaps the Plank time unit governs this? Do we know this answer? Does this relate to the speed of quantum computers?

I was once taught that we can calculate a small but non-zero probability for "quantum leaps" for things like atoms. I have tried to review this question within the context of gas molecules and for solids, but alas, I suspect my proficiency ends with very simple models. So first is this...

Hi, Why is that, the ground state eigenfunction in ANY quantum mechanical system is symmetric under inversion of co-ordinates?