Uncertainty Definition and 1000 Threads

I am asked to indicate the uncertainty on the radius R of rotation of the plumb bob. Please see picture. Basically, there is a vertical shaft, over which is attached a horizontal shaft and a plumb bob is hung over with a thread on the horizontal shaft. The bob is attached with a spring to the...

In an explanation to distinguish the Heisenberg Uncertainty Principle from the Observer Effect, on p. 89 of "Quantum Computation and Quantum Information", Nielsen and Chuang start by writing: "The correct interpretation of the uncertainty principle is that if we prepare a large number of...

The values below are different wire thicknesses measured with a micrometer screw gauge. The uncertainty of it is +/- 0.01mm. Diameter/thickness of wire/mm 0.02 0.10 0.14 0.30 0.42 I need to halve (or divide by two) these values to calculate radius and hence calculate cross...

maybe this is too basic question but it is not so clear for me. when we refer to a random experiment, can a phenomenon be absolutely random by itself or its all about our uncertainty about the outcome that we call it random?

Hello all, I used the micrometer in my lab that has a resolution of 100 nm. so, my measurement looks something like, 0.2345 mm, with an uncertainty of 0.00005 mm. But I don't want to write, (0.2345 +/- 0.00005)mm in my data table because it just looks a little awkward to have so many...

I am not sure if I should be posting this under QM or under Linear Algebra, since it appears to be an algebraic step that I do not see, and am asking the wonderful people on this forum to spell it out for me. In John Baez's derivation of the Energy-time Uncertainty relation...

Intuitively it seems more plausible that there should be a hidden variable influencing the path of particles when they travel, than having a fundamental mechanism of nature be truly random, but what do I know. I just don't understand how you can ever completely rule out a hidden variable. I know...

Hi, This is just a quick question. If wavenumber is a variable with some standard deviation Δk, how do I propagate this spread when converting from wavenumber to wavelength? Is it just 2π/Δk or is it more complex than that? Thanks

Hi Guys, Newbie question from a layperson so please don't beat me up! :D I know that Heisenberg's Uncertainty Principle relates to measurement/observation of particles with regard to quantum physics. My question is whether or not it applies to measuring anything in the observable...

Homework Statement Using the Uncertainty Principle show arithmetically that neutrons can't be formed by a proton and an electron. Homework Equations The Attempt at a Solution I can see that if neutrons were made out of a proton and an electron they would just attract each until...

Homework Statement Explain, using the Heisenberg Uncertainty Principle, how classical physics is reached a a limit of quantum physics when (h-bar) tends to 0. Homework Equations ΔxΔp(x) ≥ (h-bar)/2 The Attempt at a Solution The only reasonable answer I can formulate is the fact that when...

Homework Statement If F = aXn = f +- f +δf where a is a constant, show f = xn and \frac{δf}{f} = \frac{nδx}{x}. X = x +- δx x refers to the average and δx refers to uncertainty in x. Homework Equations The power rule for error propagation shows that the uncertainty is multiplied n...

Finding the Uncertainty of the Slope Parameter of a Linear Regression Suppose I have measurements x_i \pm \sigma_{xi} and y_i \pm \sigma_{yi} where \sigma is the uncertainty in the measurement. If I use a linear regression to estimate the value of b in y=a+bx, I'm struggling to find a...

According to the uncertainty principle Δp*Δx≥h/2pi, now suppose we measure a particle in a very tiny area(if x is tiny enough), s.t. Δp ≥ h/(2xpi) ≥ mc then v > c. But in fact, the velocity can not be faster than light. So how can we compromise these two statement?

When dealing with the intermediate value of example: 570 +/- 100, how do you put this into it's final form? If I'm not mistaken, doesn't the uncertainty only contain 1 significant digit? Doesn't the uncertainty digit have to correspond to the final significant digit on the actual value as well...

In deriving the Heisenberg uncertainty relation for 2 general Hermitian operators A and B , the uncertainty operators ΔA and ΔB are introduced defined by ΔA=A - (expectation value of A) and similarly for B. My question is this - how can you subtract(or add) an expectation value , which is just...

This could be one of those questions where I'm hindered by my lack of knowledge on the subject, being only a freshman in college, but recently we learned the uncertainty principle which states that: ΔE*Δt ≥ h/4π Given this, I'm assuming it'd be accurate to rewrite ΔE as Δm*c2, which would...

Homework Statement Students decide to measure a projectile's range for an initial projectile angle of 45°. This angle has many advantages, not the least being that since the expression for the range is proportional to the sine of twice this angle, errors in determining the angle do not...

The uncertainty in this principle is talking about uncertainty of measurement or particle itself?

Homework Statement Hi. I don't know if this is the right place to talk about my problem. Anyway, here it is: I've made a classic experiment to find g. For that I used a gravitational pendulum and measured several periods of oscillation for differentes values of L. After that, i made a...

Does any uncertainty when measuring time? Can we measure time definitely(hundred percent correct)

Homework Statement Laser can now be designed to emit pulses of light smaller than 30 microns wide in their direction of motion. (a) Estimate the uncertainty in the momentum of a photon in such a pulse. (b) The momentum of a photon is p=h/λ. Estimate the uncertainty in the...

if you know the position why can't you know the momentum isnt p=mv and v=dx/dt its the only doubt i have so far please help

Two lengths, a and b, are measured to be 51+/-1cm and 49+/-1cm respectively. In which of the following is the percentage uncertainty the largest? A a+b B a-b C a x b D a/b The answer should be b but I can't figure out why. I know that for / and x you add the percentage errors so if the error...

What are the uncertainty relations for the following: 1. position and energy? 2. position and time?

I'm writing the paper on this experiment I just did. Basically I took sets of data for two variables (x,y) and I fit the points to a line in Origin to extract the value that I was trying to measure (J). *Using generic variables here* I found a value for J where J = [8*∏*x*a(b+c)] / y I...

For those who read carefully the paper by Esther Hänggi and Stephanie Wehner: "A violation of the uncertainty principle implies a violation of the second law of thermodynamics": 1. Can you elaborate how extra work can be extracted if the UP is violated? 2. Does the paper implies that...

So I am a little confused about how to calculate the error uncertainty of a slope. Let's say I have data points (1,2), (2,2.75), (3,3.75), (4,4.7), (5,5.5) which when put in excel gives me a slope of .895. Let's say the error uncertainty for every point is +/-0.1. What I used to do is subtract...

Homework Statement Derive from the uncertainty principle a formula for the relative spread of the spectral line that corresponds to the longest wavelength of the Lyman series. Homework Equations uncertainty principle: σxσp≥\hbar/2 planck constant \hbar=h/2pi h=λp Lyman series...

So I have a series of 5 data points let's say that they are (1,1),(2,3),(3,4),(4,4.5),(5,4.75) that create a power function that has the equation y=1.2x^.97. Let's also say that the error uncertainty for every number is 0.1. I know that for a linear line you can take the uncertainty of the...

Is there a hard and fast relationship between uncertainty and entanglement? In other words, if you have one phenomena, you have to have the other. I would think so because of the following example, but I wanted to make sure I understood the relationship. Please let me know if there are better...

I don't know much about physics but just had this idea: As I understand it the HUP prevents good accuracy of a small object's momentum and position at the same time. Assume trying to measure the momentum and position of a single atom. In theory, can't we get a very good idea of both of...

Homework Statement An object of mass m = 2.3±0.1 kg is moving at a speed of v = 1.25±0.03 m/s. Calculate the kinetic energy (K = 1 mv2) of the object. What is the uncertainty in K? Homework Equations k=1/2mv^2 The Attempt at a Solution I have figured out that the kinetic energy...

Hello friends, Most people that I heard put uncertainty as an intrinsic property of the universe which is evident when we make a measurement. But to me it seems that intrinsic property and making a measurement are two entirely different things. If uncertainty were to be just(purely)...

Homework Statement Hey everyone, I've data for some oscillatory motion. I used MATLAB to find line of best fit for the data. I got a line of the following form y = A*sin(2*pi*f*t + ø) I got the root mean square error between my data and the line of best fit (call it u_y) Now I want to...

I know I have seen this before a few time done a few different ways/starting points and I am always blown away when I see it worked out. Don't know why but I love seeing this derivation. Does anyone want to post the derivation for all to see, it being done a few different ways would be great.

My source is the high school chemistry textbook: General Chemistry, 2nd Edition, by Donald A. McQuarrie and Peter A. Rock, published 1987 (This is not for a high school homework assignment.) According to Heisenberg's Uncertainty Principle, the product of the uncertainty in the momentum...

Homework Statement So here's the question An electron is confined within a region of width 1 X 10^-10 meters. Estimate the uncertainty in the x component of the electrons momentum Homework Equations ΔPΔx\geq(1/2)(h/2pi) The Attempt at a Solution The problem appears pretty...

Homework Statement What would be the error uncertainty when you take ln of a number. For example ln(10) and the error uncertainty for 10 is ± 1 Homework Equations The Attempt at a Solution Is the error uncertainty just (1/10)*2.3? (2.3 is the answer to ln(10))

if i have a=exp x, and i know that my uncertainty in a is 3% ( at all points). At a point where a=2, how do we calculate the uncdrtainty in x. is the absolute value = (3% of ln 2)/ln 2, which equals 0.03mm, which equals 1% (if x is 3mm) thanks

Hi, Similar to the position-momentum uncertainty principle, there is a time-energy uncertainty of the form $$\Delta E \Delta t \geq\frac{\hbar}{2}\enspace .$$ However, since time is not an observable, the derivation and interpretation of this inequality is somehow different compared to...

if i have two repeat measuremetns, A and B, is the following correct? I am trying to calcualte the uncertainty... I know there are easier ways to do this but i need to have the uncertainty of the mean in terms of δ(A-B). from pairs of measurements A and B at each setting we have...

Hello, Recently I've learned about Fourier Transform, and the uncertainty principle that is arose from it. According to Fourier Transform, if there is only one pulse in a signal, then it is composed from a lot more frequencies, compared to the number of frequencies that are building a...

So we have a light bulb emitting through a small slit. I read somewhere that a blackbody shining through a small slit acts like a perfect emitter, and I wanted to know why. I figured it must have something to do with Heisenberg's Uncertainty. Here's how I went about it: \Delta x\Delta p \geq...

An article at physicsworld.com suggests that arbitrarily small measurements can be made. Ozawa: "My theory suggests if you use your measuring apparatus as suggested by the maker, you can make better measurement than Heisenberg's relation" Regarding his opposition: "They now prove that if...

I read the Quantum Physics section of the online version of Feynman lectures http://feynmanlectures.caltech.edu/I_02.html#Ch2-S3 and I don't understand how he can deduce electron momentum from the Uncertainty Principle. I agree that the momentum is uncertain but how can he deduce that it is very...

We take for granted the fact that we can infer more about the past than the future. Considering the only difference between past and future is entropy, I wonder if the reason it is possible to have records of the past and not the future is entropy related. At the quantum level is the...

Ok, I http://en.wikipedia.org/wiki/Academic_genealogy_of_theoretical_physicists#Arnold_Sommerfeld that Heisenberg had studied under Arnold Sommerfeld, but I have just now learned that Sommerfeld proposed a sort of uncertainty principle in the first Solvay meeting. That was 1911. It seems...

What is the uncertainty of a samples skewness and kurtosis? Such as the uncertainty of the standard deviation is SD/sqrt(2*(N-1)). I was able to find what someone is calling the Standard Error of these but they both only depend on N which doesn't make sense to me. Skewness Standard Error...

We know that can't measure both position and momentum simultaneously whether both are orthogonal. If i measure position one entangled electron and momentum on other electron for single state then how Heisenberg's uncertainity princple works?? so We may know the both parameter.