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-2 votes
1 answer
56 views

Uncertainity in position in 1D potential box

In a question of a usual 1D box for a particle between $-L/2$ to $L/2$ i had to compute $\Delta x$ and $\Delta p$ for the particle. The solution used the formulas- $$\Delta x = \sqrt{\langle x^2 \...
SHINU_MADE's user avatar
3 votes
1 answer
171 views

Ground state of particle in a ring

In the ground state of a particle in a ring, the boundary conditions allow the particle to have energy equal to zero. This sounds that the momentum is completely defined and, according to the ...
Physical Chemist's user avatar
1 vote
3 answers
540 views

The Uncertainty in momentum and the de Broglie wavelength

I'd like to pose a straightforward question by providing a brief example to determine whether my current approach is correct or incorrect. Imagine I have an electron confined within a box measuring $1\...
Anky Physics's user avatar
0 votes
1 answer
120 views

Does Group Velocity violate Uncertainty Principle?

I've recently begun studying Quantum Mechanics and went through the descriptions of phase and group velocities and the fact the group velocity or the velocity of the resulting wave envelope represents ...
Apoorv Mishra's user avatar
0 votes
0 answers
106 views

How does shape of a wavefunction changes as it encounters a potential barrier?

A particle of mass and energy $E > 0$ in one dimension is scattered by the potential below If the particle was moving from $x = -\infty$ to $x= +\infty$, which of the following graphs gives the ...
Dinesh Katoch's user avatar
4 votes
3 answers
817 views

Does perfect knowledge of momentum of a free particle imply that there is a finite probability of finding free particle anywhere in the universe?

In the case of a free particle, if you have perfect knowledge of its momentum, the uncertainty in its position becomes infinitely large. Does this imply that there is a finite probability of finding ...
Dinesh Katoch's user avatar
1 vote
1 answer
203 views

Deriving the Heisenberg uncertainty principle from the wave packet [closed]

How did we get the C-17, is it possible to derive the Heisenberg uncertainty principle from the wave packet? could you recommend readings to help me understand this better.
SAMS's user avatar
  • 41
0 votes
2 answers
277 views

How are the standard deviation, expectation value, and uncertainty related for a wave function?

In my introduction to Quantum Physics class we're learning about wave functions and uncertainties (with a great deal of it being shown through graphical means). However, in the notes from my lecture I ...
m_1265's user avatar
  • 51
1 vote
1 answer
72 views

What does "the range of reciprocal wavelengths" mean for a wave packet? (QM)

I'm learning about the derivation of the uncertainty principle via the addition of a finite number of sinusoidal waves of varying wavelengths and frequencies (basically, baby steps towards a Fourier ...
m_1265's user avatar
  • 51
17 votes
4 answers
3k views

Why does the Heisenberg uncertainty principle apply to particles?

This might be a slightly naive question, and if so I apologize, but I am currently a little confused as to why the Heisenberg Uncertainty principle should apply to particles, i.e. our system (say an ...
Mason Giacchetti's user avatar
0 votes
1 answer
379 views

What does the $\Delta x $ in Heisenberg uncertainty principle actually mean?

In the textbook ''Concepts of Modern Physics -Arthur Beiser'' in chapter 3 section 3.7 where the book talks about the uncertainty princple While illustrating the physics behind the uncertainty ...
Mans's user avatar
  • 301
1 vote
3 answers
218 views

Intuitive and/or qualitative meaning of Heisenberg's uncertainty principle

I'm trying to figure out what the uncertainty principle really means, and I've arrived to construct this 'mental experiment': let's suppose to know with great precision the momentum of an electron (or ...
TheRvela's user avatar
  • 123
0 votes
1 answer
159 views

Why can a particle have both 0 and infinite momentum uncertainty?

I am a little confused by the meaning of this result. If I take a constant wave function $\phi_0 = \frac{1}{\sqrt{2a}}$ spaning over $(-a,a)$, I can convert this the momentum space: $$\Phi(p) = \frac{...
Dr. Ernesto Chinchilla's user avatar
0 votes
1 answer
85 views

The connection between the Heisenberg Uncertainty Principle and wavefunctions

I have recently read Something Deeply Hidden by Sean Carroll, and in the book, he tries to sum up how the Heisenberg Uncertainty Principle can be found from just the way wavefunctions work, but I ...
OdinOblivion's user avatar
0 votes
0 answers
103 views

Derivation Heisenberg Uncertainty

I know there have been many questions posted regarding the derivation of the Heisenberg Uncertainty. I do not want to derive its general form, but instead I would like to calculate its lower minimum ...
choc1709's user avatar

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