Hello there!I have a small question regarding Heisenberg uncertainty relationship. If one sets up a double slit experiment and one looks through which hole the electron passes, so it acts as a particle and you know exactly where it is. If immediately after that slit, you place some sort of...
Consider and electron in ground state in the Hydrogen atom. Suppose the Bohr orbit lies in the x-y plane. Assume that the position of the electron along the orbit is completely unknown.
a)Estimate the uncretainties in x,px, y, py, z and pz.
b)Repeat for and excited state n>1. With the given...
Any guidance towards designing an expiriement/lab/activity related to Heisenberg Uncertainty Principle?
It doesn't have to be complex or anything, just something at least related to the HUP.
I can't think of anything, my understanding is that this principle only really applies at the quantum...
Today I was assigned a question (that is due tomorrow) and I currenlty have very little idea how to solve it... Any help to get me started here would be greatly appreciated.
1. Use the uncertainty principle to estimate the uncertainty in energy of a proton confined to a nucleus 1.0 x 10^-14m in...
Today I was assigned a question (that is due tomorrow) and I currenlty have very little idea how to solve it... Any help to get me started here would be greatly appreciated.
1. Use the uncertainty principle to estimate the uncertainty in energy of a proton confined to a nucleus 1.0 x 10^-14m in...
Hello everyone. I've been reading the forums for a while so decided to register hoping to increase my learning curve in my physics and mathematics classes.
I started back to college last year after a 5 year break since I had quit college. I was previously a music education major, so when I...
Hello all,
I have gathered that the orbit of an electron cannot be calculated due to the uncertainty principal which states that position becomes uncertain when momentum is measured and vice versa.
From this I understand that an orbit is not possible for an electron, hence the term...
I've a problem to understand the Ising model and the Heisenberg model.
Can anyone explain to me what is the different between ising model and the Heisenberg model?
A measurement establishes the position of a proton with an accuracy of ±1.00 x 10 ^ -11 m. Find the uncertainty in the proton's position 1.00s later.
DE Dt ≥ h / 4 ∏ Dx Dp ≥ h / 4 ∏
using
DE Dt ≥ h / 4 ∏
DE = 5.276*10^-35 J
where t = 1.00s
I am stuck as...
In the Heisenberg picture, we move the time dependence away from the states and incorporate them in the operators. That is, if we write the time dependent state in the Schrodinger picture as |\Psi(t)\rangle=e^{-iHt}|\Psi\rangle, then an expectation value for an operator Q at time t, which we...
A fundamental quantity that we calculate with QM is \langle \Phi|\Psi\rangle-- the probability amplitude for observing a system to be in state |\Phi\rangle given that it is in state |\Psi\rangle. In the Schrodinger picture the states are time-dependent and we can ask, "What is the probability...
I was reading a book and came upon these lines:
Based on these lines alone, what would you make of the author's grasp on the principle? If you didn't know what the HUP was, what impression would you get?
A block is at rest. The block is macroscopic so we can see that it is at rest and where it is, i.e. we know its position with certainty. Suppose we use the Heisenberg Uncertainty Principle to estimate the position uncertainty Δ x. Consider the following argument:
Since the engine is at rest...
[SOLVED] Heisenberg and energy of an electron in a potential well
Homework Statement
An electron is confined within a one dimensional potential well that measures 1 nm. using the uncertainty principle, estimate the order of magnitude for the ground state energy of the electron in the well in...
A student is examining a bacterium under the microscope. The bacterial cell has a mass of 0.200 (a femtogram is 10^-15) and is swimming at 4.00 microns per second, with an uncertainty in the speed of 5.00%. E.coli bacterial cells are around 1 micron, or 10^-6 meters in length. The student is...
Might there be a similarity between Dyson's equation and Heisenberg equation? (It's just a feeling, nothing based on arguments.) Both describe how a system (density matrix or Green's function) behaves in time. Both require knowledge of the intial system at time t=0 and the potential acting on...
[SOLVED] Heisenberg Uncertainty Principle question
Suppose that the x-compenent of the velocity of a 3.0 x 10^-4 kg mass is measured to an accuracy of plus or minus 10^-6 m/s. What then is the limit of the accuracy with which we can locate the particle along the x-axis?
Any help on where to...
If a neutron star is made solely of neutrons that show no repulsion to each other, protons and electrons have merged by overcoming electron degeneracy pressure so all the empty space taken up by electron shells is removed, how do u get anything denser to the level of being a black hole? If a...
Homework Statement
Hi! I'm studying a computational physics course and have been ok so far but the newest problem relates to quantum mechanics and I am struggling to understand... I would really appreciate it if someone could help me . i want to solve the Heisenberg hamiltonian for 10...
hey
does the Heisenberg incertitude principe really show that there are random numbers in nature ? Because to me doesn't sound very logic that the future is not predefined. I mean that it would mean that if my magic we could "Roll back time , and press the play button", things won't happen...
Homework Statement
Show that the Hamiltonian of the Heisenberg model can be written as:
H=\sum^{N}_{k=1}[H_{z}(k)+H_{f}(k)]
where
H_{z}(k)\equivS^{z}(k)S^{z}(k+1)
H_{f}(k)\equiv(1/2)[S^{+}(k)S^{-}(k+1)+S^{-}(k)S^{+}(k+1)]
Homework Equations
As above
The Attempt at a Solution
I...
I'm a little confused as to why anyone would want to use the Heisenberg picture of time evolution instead of the Schrodinger picture, beyond showing that the equations of motion are similar to those of classical mechanics. For example, consider a free particle. Using the Heisenberg equations of...
Problem
Consider the spin precession problem in the Heisenberg picture. Using the Hamiltonian
H=-\omega S_{z}
where
\omega=\frac{eB}{mc}
write the Heisenberg equations of motion for the time dependent operators S_{x}(t), S_{y}(t), and S_{z}(t). Solve them to obtain \vec{S} as a function...
Homework Statement
Hi! I'm studying a computational physics course and have been ok so far but the newest problem relates to quantum mechanics (which I haven't studied) and I am struggling to understand... I would really appreciate it if someone could help me understand the physics side of...
Sorry for the other post, I clicked post by mistake
Homework Statement
Find the minimum uncertainty in the length of the year
Homework Equations
\DeltaPx >= \hbar/(2\Deltax
The Attempt at a Solution
I did:
\Deltat = (((\Deltaxt)/x)^{}2+((xm)/\DeltaPx)^{}2)^{}.5
and then...
From [X, Py] = 0 follows that i can build a simultaneous autoket of X and Py (momentum on Y axis). Should i expect to observe a particle on X axis and a wave on Y axis? Does it make any sense?
bests,
Ll.
Hi everybody,
I have a slightly noobish question and I've searched for the answer unsuccesfully so I'm posting it here.
I'm was reading up on the uncertainty principle when I ran into two phrases that I don't quite understand. They are <A²> and <A>². Am I too apply this as \int \psi^* A^2 \psi...
Homework Statement
According the the Uncertainty Principle, an electron of mass m when placed on a 'flat' tabletop will actually 'float' above the table i.e. the vertical position of the electron will be spread out over some distance.
Use the uncertainty principle to find an expression for...
Homework Statement
Suppose the minimum uncertainty in the position of a particle is equal to its de Broglie wavelength. If the particle has an average speed of 4.7 105 m/s, what is the minimum uncertainty in its speed?
Homework Equations
lambda=h/p & (Py)(Y) is greater than or...
Is the Planck time/length/mass affected by relativity, or are they constant (independent of relative velocity and/or gravitation field)?
Same question for the Heisenberg Uncertainty Relation. Is it observer dependent?
Is this formula is true according to Heisenberg uncertainty principle?
the formula that describes the velocity is equal to the change of the displacement over the change of time,,,,, is this formula true according to Heisenberg uncertainty principle? specially it is impossible measuring the...
Hey guys I have a few questions...
My book defines the Heisenberg uncertainty principle by
∆x∆Px >= aitch-bar
All other resources I have have it stated as
∆x∆Px >= aitch-bar/2. They mention that ∆Px and ∆x represent the rms values of independent measurements.
My book represents ∆x...
Let's consider the position x and momentum p of a free particle.
\Delta\ x\Delta\ p\geq \hbar/2 so, if \Delta \ x is little enough, \Delta \ p is big enough.
The fact \Delta \ p is big implies that we cannot say the momentum conservation law is valid anylonger.
But:
space is...
This quote is from a physicist in another forum:
I can't believe that is true. I have seen the Heisenberg principle applied, but not like this. Can somebody shed some light :)
I was reading about the derivation of the Heisenberg Uncertainty Principle and how Heisenberg used Gaussian Distributions to represent the uncertainty of position and momentum in his calculation. Why is it that Gaussian Distributions were used? There are many different types of distributions...
Hey Guys, I've got a question, could you help me?
Can you tell me why the minimum of the Heisenberg Uncertainty Princeple is h bar over two, and how can we say the associate state is the Guass state.
I hope you can do it more mathematically.
Not sure if this should go into a math section, but I am trying to understand it in order to understand the Hesenberg uncertainy principle. I can't find a simple introduction to Fourier series to answer this question.
In my modern physics book, it does a quick introduction to Fourier series...
Heisenberg showed that, even in theory with a hypothetical infinitely precise instrument, no measurement could be made to arbitrary accuracy of both the position and the momentum of a physical object.
What I want to know is how? How did he show it coz that conters my belief of...
I am writing this on the curiosity of the results of a theoretical experiment. Imagine a photon moving thorugh space. It is moving freely through three dimentions and time. Using the Lorentz contraction we can only know approximately where it will be in 3 dimentions for a given time and speed...
A contradiction of Heisenberg uncertainty principle??
Suppose an atom is cooled to 0 K (Practically impossible). However theoretically, all its motion will cease ; and therefore it will be possible to determine the exact position of the atom and exact velocity (which is zero).Doesn't this...
I'm having a little trouble with my textbook's explanation. This is regarding the energy - time variation of the uncertainty principle; very basic stuff, so I hope helping me out won't take too much. Let me quote exactly:
"... the energy conservation can appear to be violated by an amount...
I don't like to assume things without checking..
Is the distribution really a 'normal distribution' aka Gaussian? Is this an experimental result or a 'good enough' assumption?
Ok...I'm new to these forums and am just beginning to understand quantum physics, so please be kind. I've been reading those Brian Greene books and I have a question that I don't think he addressed.
If I understand correctly, some believe that IF we could measure the position, velocity and...
I was just thinking about what does every one of the terms in Heisenberg's matrices stands for so I decied to post a new thread in physicsforums since I am sure I will obtain an answer before long. Thanks an try to explain it in plain languaje (if possible) because I am not an expert
Hi.
Can anyone tell me what exactly the "Heisenberg Hamiltonian" is?
I found it in an article related to: the renormalization group.
Thanks in advance.
Somy:smile:
We have a particle in a harmonic oscillator potential. The eigenstates are denoted {|0>,|1>,...,|n>,...}. Initially the particle is in the state |s> = exp(-ipa)|0>, where p is the momentum operator.
I need to find <x> as a function of time using the Heisenberg picture. The problem is, how do...
I need to prove that the act of measuring exactly the position of an electron would change its orbit.
change in position x change in momentum = h
the limit would suggest that knowing the location exactly would set the change in momentum p= h
What is the formula that relates energy...
The Heisenberg Uncertainty Principle tells us that while it is possible to measure the position and velocity with reasonable accuracy, we cannot measure both an atom's position and velocity at the same time. The reason for this is simple. For instance, to find the position of an atom, we must...