Wavefunction Definition and 572 Threads

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 Ψx0(x') of a particle (in 1-D) located at a certain position x0? What about the wave function Φx0(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 Ψx0(x') of a particle (in 1-D) located at a certain position x0? What about the wave function Φx0(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?