# 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 Sommerfeldā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 ...
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### Quantum mechanical measurement

Suppose, a particle has non zero probability to be in any between x = 1 and x = 10. Let, we measure its position with a very low energy photon. It will collapse itās wave function, since it disturbs ...