# Questions tagged [wavefunction]

A complex scalar field that describes a quantum mechanical system. The square of the modulus of the wave function gives the probability of the system to be found in a particular state. DO NOT USE THIS TAG for classical waves.

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### A classical localization of a wave function?

We know that the state of a quantum particle defined on the real line is represented by its wave function $\psi(x)$ that is the position probability amplitude. We also know that the momentum ...
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### Why do most introductory texts on QM use the Schrödinger formulation rather than Heisenberg's matrix mechanics? [closed]

I know they're mathematically equivalent, and that makes intuitive sense, seeing as linear differential equations can in general be solved using matrices and other linear algebra approaches. In fact, ...
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### Momentum Space Solutions of the 1D Schrodinger equation in the Potential $f(t)x$ [closed]

Yesterday, I asked a question about solving the 1D Schrodinger equation in a time varying potential $f(t)x$ using a method solely in configuration space. Although this approach does not directly ...
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### What's the derivative of the wave function of hydrogen atom? [closed]

I'm trying to solve a quantum mechanics exercise. I've got the wave function: $$\psi(\vec{r})=\phi_{n,l,m}\left(\vec{r}\right)e^{\frac{iqx}{\hbar}}$$ where $\phi_{n,l,m}\left(\vec{r}\right)$ is the ...
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### Difference between a quantum wavefunction and a wave

When reading about quantum wavefunctions, I understood that different subshells have different "shapes" of orbitals, which describe the probability density of the electron. The orbital "...
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### What does the $\Delta x$ in Heisenberg uncertainty principle actually mean?

In the textbook ''Concepts of Modern Physics -Arthur Beiser'' in chapter 3 section 3.7 where the book talks about the uncertainty princple While illustrating the physics behind the uncertainty ...
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Is there a reference for local conservation of the Pauli current density, i.e. $$J = \Im(\overline{\psi}(\nabla-iA)\psi) - \nabla \times (\overline{\psi} {\sigma} \psi)$$ where $\psi = (\psi_1,\psi_2)... • 184 0 votes 3 answers 59 views ### In slit experiment: is it one wave function before and two wave functions after the split? Forgive my round-about background to the question: I'm curious how the experiment "fires electrons slowly that interact with themselves"... I'm thinking that's just a simplification? I feel ... • 129 -1 votes 2 answers 123 views ### Can Maxwell's electromagnetic vector field be simplified to a scalar field? Maxwell's electromagnetism essentially associates 6 numbers$[E_x, E_y, E_z, B_x, B_y, B_z]$to every point in space. The time evolution of all six numbers is completely deterministic, but follows ... • 527 0 votes 0 answers 21 views ### Does the azimuth angle matter for determining the electron density for atomic orbitals? The only place in the expression for the wavefunction where the azimuth angle$\phi$is used is in the equation for the spherical harmonics, and in the spherical harmonics there is only a single ... 1 vote 2 answers 86 views ### When spectrum of eigenvalues of Schrodinger equation is continuous or discrete? [duplicate] There is a point which I do not understand about the Schrödinger equation. I will try to explain the issue. Consider the Schrödinger equation:$\hat H = \frac{ \hat p^2}{2m} + U(\hat x)$and we are ... 1 vote 3 answers 138 views ### What does the finding the eigenvalue of a wavefunction physically mean? In https://arxiv.org/abs/physics/0602145 (page 8), there is a passage which says that the discrete nature of the energy levels of an electron in a hydrogen atom comes from the fact that the solutions/... • 358 1 vote 1 answer 66 views ### Is the total wavefunction always the product of the spin and spacetime dependent states? Is the total wavefunction always the product of the spin state$ψ_s$and the spacetime dependent$ψ(x,t)$state? I understand conceptually that if we have a homogenous magnetic field, then the ... • 169 0 votes 1 answer 86 views ### Understanding the Pusey-Barrett-Rudolph (PBR) Paper and Possible Experiments to Test It I was kindly pointed to the PBR paper by one of the other members here recently and have been trying to digest it. As one might imagine I have a wide range of questions but I'll try to keep things ... • 257 0 votes 0 answers 16 views ### What happens in the square potential barrier during Klein Scattering in 1D graphene? I have a question about Klein Scattering in a square potential barrier,$U$, incident on 1D graphene. I have managed to get these equations from continuity equations at$x=0$and$x=L$of the ... 0 votes 1 answer 49 views ### Wavelength of wavefunction graph [closed] So my professor loves to make like 10 exam questions where we interpret some graphs of quantum wave functions. Now I really do not understand how he reads off the wavelength for instance in these ... 0 votes 2 answers 69 views ### Delta function in discontinuous derivative of a wavefunction In variational principle problem; we need to find$\frac{d^2\psi}{dx^2}$to find$\langle T \rangle; if \begin{align} \psi = \begin{cases} A \cos ( \pi x / a ) , & -a/2<x<a/2\\ 0 ... • 71 -1 votes 3 answers 66 views ### What is the hydrogen atom wavefunction in cartesian coordinate? [closed] The ground state wavefunction of the hydrogen atom is given in spherical coordinates in the form of this: $$\Psi(r)= exp(-r)$$ where r is the radius from the center of the atom. Suppose we would like ... • 527 0 votes 1 answer 70 views ### Where no observer exists, does this mean the wavefunction never collapses? In most places across the universe, there is no conceivably sentient candidate to act as an "observer" to this system. Are we to believe that, in the emptiness of intergalactic space, or ... • 527 3 votes 4 answers 153 views ### Meaning of eigenvalue of the position operator\hat{x}\$?

Apologies for asking a question which may be too basic. I understand at the conceptual level that a measurement collapses a wavefunction into a single spike, which will then evolve again immediately ...
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