Degrees of freedom Definition and 174 Threads

Hi, Could you pls advise me why in on-shell case graviton has two degrees of freedom? and in general how do I calculate bosonic or fermionic degrees of freedom of any particle? I was reading some books about supersummetry and stuck when they said gravitopn has two degrees of freedom and...

Part A Using the equipartition theorem, determine the molar specific heat, C_v, of a gas in which each molecule has s degrees of freedom. Express your answer in terms of R and s. Okay, I know that the equipartition theorem is 1/2k_B*T and molar specific heat is C_v= (1/n)(dU/dT) But I...

Homework Statement A triatomic molecule consists of 3 atoms arranged along a straight line. The molecules can translate and rotate but not vibrate. How many degrees of freedom are associated with this molecule? Homework Equations Molar Heat Capacity of Gases: Cv = f/2(R) f -...

If I flip two coins at once and don't care which one is heads in the case of a head and a tail, how many degrees of freedom are there?

"Degrees of freedom" for lines I'm reading something about "degrees of freedom" trying to learn what exactly it means, and there's this one sentence I'm running into that I can't really understand... What is this "the two independent ratios {a : b : c}" ? They talk a lot about how a line on...

Hello! I am a bit unclear on degrees of freedom in thermodynamics/stat mech, can someone critique my rational? Here I go: Essentially, the equipartition theorem states that per each degree of freedom it has an energy of 1/2kT associated with it. So, for a monatomic gas, there are three...

Can anyone explain to me why does a figure which can't move from a plain has three degrees of freedom?

Dear PF, I have a question about degrees of fridom. Electron is 1/2 spin particle so it needs 2 component wave function. But instead haveing 1 equation of second order we linearize and have two equations of order 1 for two spinors and these two equations can be re-written in one equation...

I have to calculate the number of degrees of freedom within an HII region. I am asked to find the number of degrees of freedom before and after the hydrogen gas gets ionized by the star and forms an HII region. Does each particle have 3 degrees of freedom? I am given the number of ionizing...

Homework Statement We give 70J as heat to a diatomic gas, which then expands at constant pressure. The gas molecules rotate but do not oscillate. By how much does the internal energy of the gas increase. Homework Equations The Attempt at a Solution I did it this way: Heat...

Homework Statement Describe how the colour degree of freedom of the quarks can be used to explain the fact that, at electron energies of about 20GeV the cross section for e+e- annihilation into hadrons is of the order 4 times the cross section for e+e- -> mu+mu-. Homework Equations None...

How many degrees of freedom has Riemann Tensor in general D dimensions and how it can be calculated?

For a molecule of water, I understand that there are 6 degrees of freedom for each of the three atoms within it; 3 translational and 3 due to the potential energy of the bonds. Is this at all affected when the water goes from solid to liquid or gas?

I understand that for H20 in solid form, each atom within the molecule has 6 degrees of freedom; 3 translational and 3 due to potential energy from bonds. Does the number of degrees of freedom change when water changes phase to a vapor?

Functions that "introduce" new degrees of freedom? OK, I realize this is a wacky question, so forgive me! BUT I was thinking about it the other day, and suppose I had a 2 dimensional space \Bbb{R}^{2}. Is there any function that generally exists as: f: \Bbb{R}^{n} \rightarrow \Bbb{R}^{n+1}? So...

When reading in the web about decoherence especially in popular articles I find very often explanations that point out the fact that the environment has a large number of degrees of freedom. It is unclear to me in which extent and in which aspects this is relevant for decoherence. My...

For the purposes of this thread LQG is defined in a pragmatic unrigorous way. Loop gravity is what loop gravitists do. That begs the question who are representative loop gravitists? Well it is a fuzzy set but I think we all have an idea who they are: people like Rovelli, Smolin, Freidel...

Angular momentum is a vector, so alegedly it has 3 degrees of freedom. It has never been formally told me, but I noticed angular momentum is taken as two separate magnitudes and not three. i.e. in quantum mechanics there's an operator for \bf{L}^2 and for L_z and this should be enough. My...

A 1.12 mol sample of an ideal diatomic gas at a pressure of 1.00 atm and temperature of 491 K undergoes a process in which its pressure increases linearly with temperature. The final temperature and pressure are 735 K and 1.39 atm. Assume 5 active degrees of freedom. Neither pressure nor...

Hi guys, Just a quick question. In my lecturers notes, he has mobility and degrees of freedom as different things. With a separate equation for each. However, when I went searching the net for some info because I couldn't understand the notes, I found it to be different. The sites I...

Can somebody help me out with this?? Calculate the no. of degrees of freedom of 10 cc oxygen gas at Normal temperature and pressure. This problem is from the kinetic theory of gases chapter.

The theory of quantum fields is very strange, indeed, I must admit. Usually in books they introduce a quantum field from the standpoint of a vibrating string in one dimension. Along the string are discrete points or masses that when one of which are disturbed a disturbance is created along the...

I was discussing with my friends that problem: If we have a cone, upside down, rotating with angular speed constant, how much degrees of freedom, the system has? Ok, I think that if the movement is restricted to rotate around a static axis, and the speed of rotation is constant, you don't...

When considering the three dimensions of space and our freedom of movement in that space, does our ability to change our state of motion (acceleration) imply an existence of a fourth dimension, ie. four space-time dimensions? Given three dimensions each mutually perpendicular, we can move...