# 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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### Probability of finding particle in ground state [closed]

A particle is in a one dimensional infinitely deep square well, from 0 $\leq x \leq L$. Find the probability of finding the particle in the ground state of the square well if the wave function for a ...
3answers
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### Proof of normalization constant of wave function to be independent of time

I am trying to prove that the normalization constant is independent of time. If we have fixed it for a particular time then it will remain constant for all time. Suppose $\psi(x,t)$ is a wavefunction. ...
0answers
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### Normalize the wave function Ψ(𝑥) = 𝐴 e (–𝑘𝑥2) , A and a are constants, over the domain −∞ ≤ 𝑥 ≤ ∞ [closed]

2. Normalize the wave function Ψ(𝑥) = 𝐴 e (–𝑘𝑥2) , A and a are constants, over the domain −∞ ≤ 𝑥 ≤ ∞
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### What are critical differences between conventional lasers and matter lasers?

In what ways would a coherent stream of matter waves/De Broglie wavelength interacting with the environment differ from a conventional coherent stream of photons? What have been observed and what have ...
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### How do I normalise the wavefunction of a hydrogen 1s orbital to obtain the normalisation constant?

The wavefunction I've been given for a 1s hydrogen orbital is: $$\Psi = A e^{-r}$$ And I need to normalize this to find the value of A. I understand to normalise this I would inset this wave ...
2answers
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### Doubt in the completeness of wave function

I am reading about the completeness property of wave function. The following is given about it- The energy eigenstates are complete in the sense that any reasonable wave function $\psi(x)$ can be ...
2answers
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### Predicting the probability distribution in a potential

I've been dealing with a kind of problem in quantum mechanics, where they give us an arbitrary potential, and then ask us to predict the form of the probability amplitude or the wave function. The ...
1answer
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### Manipulations of the wavefunction are hard to physically understand

So i am learning about quantum mechanics, still a beginner but i am already struggling to understand the manipulations of the maths involved that gives the answer. For classical physics I can ...
1answer
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### Probability density for position and momentum and the wave function

I know that if a particle has a wave function $\Psi(x)$ at a time $t$ then the probability density for the position of the particle is given by $|\Psi(x)|^2$, and if $\phi(p)$ is the Fourier transform ...
2answers
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### Why is it useful to characterize relativistic particle states by this kind of wavefunction?

This question is a followup to my previous one "Why are momentum eigenstates in QFT plane waves? " as it made sense for me to ask this separately, in a self-contained manner. In QFT we have ...
1answer
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### Assumption made for the WKB approximation in radial coordinates

I was thinking the other day, if you had the Schrodinger equation in 3-dimensions, and had a spherically symmetrical potential. Ie.: $$-\frac{ℏ^{2}}{2m}∇^{2}ψ+V(r)ψ=Eψ$$ Then you could simplify the ...
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### Finite square well and continuity [duplicate]

In solving finite square well problem, we solve the TISE inside and outside the well, and we match the wave function at the boundary, by the continuity of wave function. Now this bugs me, since the ...
1answer
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### Quantum Field to Layman

How would you describe a Quantum Field in layman's terms? Is is some function that provides information about the universe in a particular space-time region? My motivation for the latter question is ...
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### Why does the minimization of the Hartree-Fock Hamiltonian consider only the complex conjugate wave function?

We have the Hartree wave function of N particles: $\psi_{H} ( 1, ...., N) := \phi_{1}(1) \cdot \phi_{2}(2) ... \phi_{N}(N)$ where $\phi_{j}(I)$ is the one particle wave function of the I-th particle ...
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### Can the initial wavefunction be discontinuous?

In a infinite potential well of width $a$, an electron starts in the left half and at $t=0$; it is equally likely to be found at any point in that region. To find the wavefunction at later times, we ...
2answers
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### Coefficients of the wave function - a free particle in a box [closed]

If we solve the time independent Schrödinger equation for a particle in a box of length $L$, we get: $$\psi_n\left(x\right)=A\sin\left(\frac{\pi n}{L}x\right)$$ I then see that we normalize $A$ such ...