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...
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...
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...
I don't understand why it is so hard to find the exact position and velocity of orbiting electron. And also, why would we want to know it, if it is always moving? I am not trying to disprove it or anything, so don't make fun of me, i am an uneducated peon
Can anyone recommend any texts / online sources for learning QM in the Heisenberg formalism? I don't want some 'basics of' book - nitty gritty maths is what I'm after.
The Heisenberg Uncertainty Principle states that both the exact (as near as we can get to thusfar) position AND momentum of a particle cannot be obtained because in learning its exact position we alter its momentum and vice versa. Does this mean we only have rough measurements of particles...
Recently I had a discussion with friends about impact of H.U.P. on some biological functions.
We had disagreement, about uncertainty of position of ion, say in neuron connected to another one by synapse, as a consequence of HUP, point was that if there is some uncertainty in position of ion or...
How does one work in the Heisenberg picture? Can you dequantize and solve the classical Hamilton's equations and somehow requantize this classical solution for the time evolution of the position and momentum operators (and more importantly the eigenvectors)? How would one go about doing that...
Hello this is my first post.
I am a 15 year old 10th grade student in a philosophy program and now we are studying the famous Greek philosophers.
I have a problem that was asked by a teacher that I would like to answer. And although I have tried I have not come up with an answer on my own...
I have been reading that the quantity called "Weyl curvature" can exist independently of any matter, or energy, in the universe? :confused:
This seems to contradict Heisenberg uncertainty which says there can be no 100% vacuum, because uncertainty in position and uncertainty in momentum...
At which scale in length terms does the Heisenburg Uncertainty Principle kick in for Stringtheory?
In the string vibration for Gravitational interactions, as the scale is condensed, surely this would have a 'bigger' Uncertainty in strings that split off due to their proximity in scale...