# 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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### What is meant by collapse of wave function? [closed]

Collapse of wave function ,does it really happens?why?
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### Significance of eigenvalues of an observable Of a wavefunction [closed]

What really is meant by eigenvalue of an observable? Does it mean that everytime we measure a value of an observable the result obtained is equal to the eigenvalue of the observable?
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### Relation between wave number and wave vector? [closed]

What is the relation between wave number and wave vector? I've been self-studying wavefunctions as part of an intro into Quantum Mechanics. However, the textbooks, sites, and videos that I've seen do ...
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### Is $e^{-2x}\sinh x$ an acceptable state wavefunction?

I have the following function in the range $(0, \infty)$: $$\psi(x)=e^{-2x}\sinh x$$ I would like to know if it is acceptable as a wavefunction. At $x = \infty$, we have $e^{-2x} = 0$ ...
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### If we can say that the probability of finding an electron is 0.9 at point x, how does this tie in with the fact that an electron is a wave?

Shouldn't the electron be everywhere because it is a wave? Or am I wrong, an electron is not a wave? It just has an associated wave function that determines where it might be?
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### Where is the info of the wavefunction stored at?

I have read these questions: Is the wavefunction a real physical wave or only a mathematical abstraction? The wavefunction gives you the probability description of a particle's position (and other ...
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### Why wave functions and not sums of vectors? [closed]

What are the benefits of representing quantum-mechanical states with wave functions rather than with sums of vectors?
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### Is a free particle describable by wave packet?

A free particle wave function can be represented as $Ae^{ikx}$, where $A$ is some constant. My understanding on the topic is free particles cannot be normalized. That is why we have to use box ...
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### Schrodinger equation: free particle solution in integral form? [closed]

In one exercise I was asked to find the general solution for a free particle but in integral form(!!) I'm supposed to get but I have no idea how to get there! Looking around I found quite a bit of ...
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### Test charge and source charge test for EM field strength

We know how to determine the strength/density of an electric/magnetic field by placing a test charge in the source charge's electric field and then measuring the force the test charge experiences. How ...
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### Could someone explain this paragraph?

"Although Arnold Sommerfeld’s theories had used quantum mechanics, his focus had been on the probability of the electron distribution. The phases of the individual wavefunctions had been ignored. ...
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### How do we compute the expectation value of momentum for a 1D wave function?

I have a 1D wave function $\psi(x)=Ae^{-x^2/a^2}$ and $a$ is just a value of $x$ greater than $0$ and $A$ is the normalization constant, which I found to be $A= \frac{1}{\sqrt{a \, \sqrt{(\pi/2)}}}$. ...
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### Quantum Mechanics - Derivation of the fact that determinate states are eigenvectors of the $\hat{Q}$ operator

In the Intro to Quantum Mechanics textbook by Griffiths on page 105 equation [3.116], I'm confused about 3 things. What is $$\hat{Q}$$ supposed to represent? At first they use the variance definition ...
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### Are there exactly three physically relevant operators that commute with $H$ for helium?

I am thinking about something I learnt as an undergraduate. In the section on identical particles (page 212) of Griffiths book on quantum mechanics he speaks of helium and says that: The excited ...