Wavefunction Definition and 585 Threads

For this given wavefunction of a hydrogen atom in 2s state, verify if the function is normalized: \psi_{200} = \frac{1}{\sqrt{32\pi a^3}}\left(2 - \frac{r}{a}\right)e^{\frac{-r}{2a}} My work: I have to verify: \int_{all space} \psi_{200}^2 dV = 1 dV = 4\pi r^2dr So, \int_{all space}...

Hi, I hope this is the right place to ask this... it's problem I have with a homework question but I think it's just me being stupid. There must be something I'm missing. Also I apologise this isn't typed up in proper maths font or anything like I've seen some people doing on this forum... how...

I am not sure how to solve this question. I can only say that, the wavelength is an integral number multiple of the circumference. Then? A particle is confined to move in a circular tube with radius R. Work out the wavefunction of this particle.

Here's a derivation of wavefunction of State Ψ in representations of coordinates and momentum Ψ (x)=<x|Ψ >=<x|∫dp|p><p|Ψ >=∫dp<x|p><p|Ψ>=∫dp exp{ipx/h}Ψ(p) Ψ (p)=<p|Ψ >=∫dx exp{-ipx/h}Ψ(x) Ψ (x)=<x|Ψ >=<x|∫dp|p><p|Ψ >=∫dp<x|p><p|Ψ>=∫dp exp{ipx/h}Ψ(p) i don't understand how ∫dp<x|p><p|Ψ>...

Here's a derivation of wavefunction of State Ψ in representations of coordinates and momentum Ψ (x)=<x|Ψ >=<x|∫dp|p><p|Ψ >=∫dp<x|p><p|Ψ>=∫dp exp{ipx/h}Ψ(p) Ψ (p)=<p|Ψ >=∫dx exp{-ipx/h}Ψ(x) Ψ (x)=<x|Ψ >=<x|∫dp|p><p|Ψ >=∫dp<x|p><p|Ψ>=∫dp exp{ipx/h}Ψ(p) i don't understand how ∫dp<x|p><p|Ψ>...

The state of a photon can be represented by complex number or 2d vector, where the x-axis represents the electric field, and the y-axis represents the magnetic field. Interference can been seen as the addition of several of these vectors. Similarly, in quantum physics the wavefunction at a...

Does string theory provide an explanation for the collapse of the wave function in QM? Thank you in advance for your comments.

When a photon with the right frequency hits the electron of an atom. At what portion does the wave function of the atom collapse. Is it when the photon enters the atomic space or when the photon hit the potential electron probability location?

I have a problems, help me please a) A free particle of mass m moves in one-dimensional space in the interval 0 <= x, with energy E. There is a rigid wall at x = 0. Write down a time-independent wavefunction, which satisfies these conditions, in term of x and k wher k is the wave vector of...

Consider the wavefunction psi = Ae^i(kx+wt) ;w = omega where k is real and w(omega) > 0 and is real. Is this wavefunction an admissible quantum state for a free particle?. Justify your answer is no, in what manner would you change the given function to describe a free particle moving in...

Let Psi(x,0)=E^(ik0x) when x=(-a/2,a/2) and zero elsewhere. Can this be a wavefunction of a free particle. I believe it is so because every function of x can be expressed as a wavepacket. Is this correct? If I want to calculate P(x,0), probability to find the particle between x, x+dx...

I'm working in Liboff, 4e, QM, page 114, problem 4.35. An electron in a 1-D box with walls at x= 0,a is in the state \psi(x) = A for x\in (0,a/2) and \psi(x) = -A for x\in (a/2,a). What is the lowest possible energy that can be measured? From my understanding, the answer to this question...

ARRGH! Particle Wavefunction Questions... Hello everyone at physicsforums.com! Ook, I have a few questions, well, a lot actually. I guess I'll just ask two of them here. It is stated in quantum mechanics that a wave function (it's absolute square) tells the probability of finding a particle at...

Question: If Si1 represents the wavefunction of a Px orbital in the hydrogen atom, and Si2 represents the wavefunction of a Py orbital in the same hydrogen atom. Si1 and Si2 are both normalized wavefunctions. a) what is the value of integral:Si1*Si2*dt. ? b) what is the value of...

From what I heard, the wavefunction is made up of both real and imaginary parts. How do I prove this? Also, what is the physical interpretation of complex numbers? How does a complex wavefunction fit into physical reality?

What are the limitations on the radial wavefunction for electron in an atom? For instance, of the following, which cannot be the radial wave function, and why? 1.) e^{-r} 2.) \sin(br) 3.) \frac{1}{r} Thanks!

Hi, just need a quick confirmation I am right with something! :) If we are considering electrons (for example) going through the double slit experiment one at a time would it be correct to define the wavefunction for the electron as follows? \Ket{\Psi} = C_1\Ket{\phi_1} + C_2\Ket{\phi_2}...

How would I get an expression y(x,t) that describes a sinusiodal wave traveling on a string in the negative x-direction with amplitude in the y-direction of 1.00cm, frequency 200Hz, and wavelength 3.00cm? At t=0, the particle of string at x=0 is displaced D=0.80cm from equilibrium and moving...

Okay this should be fairly easy, not really sure why it's not working for me. Suppose a particle moving along the x-axis is in a state with a wavefunction psi=cos(ax). Determine whether (i) the linear momentum and the (ii) kinetic energy of the particle has a single well-define value. If so...

I don't like to delve to deep into this matter in such a way that this thread will be thrown into the philosophy forum, where I don't think it belongs. Take a particle and consider the state space. And let's call, say, the first tree stationary states |\psi_1 \rangle, |\psi_2 \rangle, |\psi_3...

Denying the unification of general relativity and quantum mechanics seem to be the simultaneous requirements of relativism and nonlinearity for the wavefunction. Wavefunction linearity and relativity are seamlessly incorporated under the physics of Fermi. Has there yet been a successful theory...

The wavefunction for a hypothetical quantum box of size Planck length (L), when inverted through L, models the universe with this lower bound required by quantum gravitational constraints. The initial quantum box solutions are given by: \phi_n=\sqrt(2/L)\\sin(n \pi x/L) However...

Doesn't complete information about a probability distribution presuppose a physically determined wavefunction collapse? How can we have knowledge about statistics of all existent quanta for the wavefunction except by light signals in the first place, whose correspondent reversed process should...

there's something that is annoying me, because I can't find a explanation It's about the classical double slit experiment, where you have two screens, and one of them has 2 narrow slits then you launch a photon against the screens, and if there are no detectors in the slits, you observe an...

And can a collapsed wavefunction be retreived?

Does the observational process quantum-->classical ever reverse?

From what I have gathered, whether or not decoherence has solved the measurement problem is still a matter of debate. But to those who say that it does, my question is: how does it solve it? Does it actually cause the collapse of the wavefunction? These questions are actually pieces of a...

as title, the electron's interaction is coulomb force. 1.is it unsolvable?(exact solution) 2.will computer simulation be the only way to work it out? thanks a lot,dude

why a wavegfunction is square integrable?[?]

Consider a photon which is sent towards a detector. The instant before the photon hits the detector, let's say one mm-light (the time the light travels one millimeter), the photon should be located at a position of one mm far away from the detector. But since the photon has an associated...

What's the wave function in coordinate space &Psi;x0(x') of a particle (in 1-D) located at a certain position x0? What about the wave function &Phi;x0(p') in momentum space? Now, consider the totality of these wave functions for different values of x0. Do they form an orthonormal set? The...

Quantum question again... What's the wave function in coordinate space &Psi;x0(x') of a particle (in 1-D) located at a certain position x0? What about the wave function &Phi;x0(p') in momentum space? Now, consider the totality of these wave functions for different values of x0. Do they...

Quantum mechanics requires continuity of the wavefunction and its first derivative. How stringent is this requirement? If general relativity allows singularities, why not have possible discontinuity of a single wavefunction and its derivative? Take [psi]1(x)=cos(x) and [psi]2(x)=-cos(x)...

An interchange between variable action and Planck's constant in conventional wavefunctions represents a spectrum of virtual states that invert standard eigennumber solutions. The resultant "inverse wavefunctions" predict discrete values for virtual actions (in general those less than or...

Does a black hole have a wavefunction?