Questions tagged [probability]

For questions about probability, probability theory, probability distributions, expected values and related matters. Purely mathematical questions should be asked on Math.SE.

751 questions
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How is the measure for the wavefunction determined in quantum mechanics?

Given some quantum mechanical system described by a lagrangian ${\cal L}=\frac{1}{2}\dot{q}^2-V(q)$, I can imagine solving for the wavefunction $\Psi[q]$ and then using this to compute expectation ...
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Movement of a random walk in the limit (a particle in diffusion)

I asked this question in Math Exchange and MathOverflow and obtained no answer. This question may lack of mathematical rigorous, but I would like to understand why this type of reasoning is sometimes ...
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Stochastic dynamics of rotation intergral over $d\hat n$?

I am looking into the stochastic dynamics of rotation in which we describe the orientation with a unit vector $\hat n$. If we let $p(\hat n',t)$ denote the probability that $\hat n=\hat n'$ at time $t$...
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$h^3$ term in probability density function of ideal gas

Other than that we need the $h^3$ to 1) make the units correct and to 2) account for the normalization of the probability distribution, what interpretation can we give to this $h^3$ term in \begin{...
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Probability of finding an energy state of a non-normalisable wave-function

Suppose, say, I have the following wave function It represents the wave function of a free particle. I would want to calculate the probability of finding the particle with energy ħk and energy 2ħk. ...
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Probability measure implies quantum mechanics?

The article "Quantum Logic and Probability Theory," by Wilce, has the following in section 1.4: 1.4 The Reconstruction of QM From the single premise that the “experimental propositions” ...
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Is probability relative?

Suppose you are as massive as earth and you are tumbling down space at a very high speed. You flip a coin. There is a probability function associated with the coin in motion. When it falls back in ...
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Symmetry transformations on a quantum system; Definitions

We define a symmetry transformation of a system to be any transformation that, when performed, does not change the outcome of a measurement. Wigner's symmetry theorem says that any symmetry of a ...
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Can the complex square of the wave function be interpreted as shape of the particle? [closed]

We know that for wave function of a photon or an electron, the complex square of the wave function is understood as the probability density of finding point like particle in the location. Can anyone ...