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thinker
- 20
- 0
Have known a wave function, how get does distributing density function of the probability?
dextercioby said:You mean,if you have [itex] \Psi(\vec{r},t) [/tex],how does one get probablility density...?
Simple:
[tex] \mathbb{P}=:|\Psi (\vec{r},t)|^{2} [/tex]
Daniel.
P.S.Or was the question about something else...?
dextercioby said:I've never seen your formula...Is it somehow linked to quantum statistics...?In quantum statistics,we don't use Dirac's description of quantum states,but rather von Neumann's...
Please give more details.
Daniel.
dextercioby said:You mean the fluctuation.Fluctuation in what...?That would account for it.What do you mean you created it...?
Did u study QM or SM...?If not,that would explain why u never heard of John von Neumann and why your formula has 99.99% chances of being incorrect.
Daniel.
Perhaps I do not have what you study deep, but I am study QM and MATH and computer.dextercioby said:I've already told you,that is other Neumann.This quy has nothing to do with QM and QSM...
Daniel.
I don't knew what you say.I don't read understand.I am sorry.dextercioby said:Nope,that guy is a German.John von Neumann was a Hungary-born American.Mathematician,the one which axiomatized and mathematically founded Quantum Mechanics and Quantum Statistics...
Daniel.
my mother tongue is Chinese.BlackBaron said:Just curiosity thinker, where are you from and what's your mother tongue?
A probability density function (PDF) of a wave function is a mathematical representation that describes the probability of finding a particle at a given location in space, based on the properties of its wave function.
The uncertainty principle states that it is impossible to simultaneously measure both the position and momentum of a particle with absolute precision. The PDF of a wave function reflects this by showing a range of possible positions where the particle is likely to be found, rather than a single, definite position.
A wave function describes the behavior of a quantum system, while a PDF of a wave function describes the probability of finding a particle within that system at a given point in space.
The PDF of a wave function is calculated by taking the square of the absolute value of the wave function. This reflects the probability amplitude of the wave function, which determines the likelihood of finding a particle at a specific point in space.
The PDF of a wave function provides information about the spatial distribution of a particle and the probability of finding it in a particular location. It can also be used to calculate other properties of the system, such as the average position and momentum of the particle.