Relativistic Definition and 1000 Threads

Homework Statement How does change acceleration of relativistic linear harmonic oscillator with distance of equilibrium point in laboratory reference system? Homework Equations The Attempt at a Solution x=x_0sin(\omega t+\varphi) \upsilon=\omega x_0cos(\omega...

Is there a general analytic solution to the classical motion of a relativistic charged particle in a static Coulomb potential? Of course, the non-relativistic limit is simply Kepler's problem. Quantum effects should be ignored, but relativistic effects (such as E field transforming into B field)...

http://img842.imageshack.us/img842/9193/38076308.jpg Uploaded with ImageShack.us Homework Statement The velocity of B w.r.t A is: \vec{v}=0.6c\left ( \frac{\hat{x}-\hat{y}}{\sqrt{2}} \right ). what is \alpha (the 90 degrees of the triangle in A's frame) in B's frame? 2. The...

I'd liked to know whether the postulates of standard QM are still valid in Relativistic QM By postulates I mean what is ussually stated in texbooks as follows 1)Physical states are determined by a vector in sate space E 2)A measurable physical quantity A is described by an observable A acting...

If so, wouldn't gamma would be like? (1 - w^2 / c^2)^-1/2 or (1 - v^2 / r^2c^2)^-1/2

I was trying to read up on the effects of the Lorentz transforms on electromagnetic fields in the stationary and moving frames and came across the following equation for the E-field: [1] E= \frac {Q}{4 \pi \epsilon_0 r^2}* \frac {1- \beta^2}{(1- \beta^2 sin^2 \theta) ^{3/2}} The first...

Homework Statement A particle having a 3m rest mass is moving with velocity v towards another particle, which is at rest and having a rest mass of m. After the collision, two new particle are formed, each having a rest mass of 2.5m I'm required to find the minimum velocity for which such a...

Hi everybody, When I have a perfect fluid within a constant gravitational field g, the pressure at depth z simply reads P=\rho g z, where \rho is the fluid density (incompresible). If now my g is still constant, but my fluid is relativistic. Not because it's moving (everything is still)...

I've read conflicting accounts on this subject. Some say it does, some say it doesn't, some say the entire idea of relativitic mass is a "rampant pedagogical virus". So please inform me when I'm making a mistake. So does the gravity of an object it exerts on it surroundings increase with it's...

Just reading Prof. Mead's book 'Collective Electrodynamics' Does anyone know of a (readable) discussion of electrodynamic momentum vs. total momentum with a relativistic correction for velocity?

Homework Statement A photon of momentum P strikes a nucleus at rest and s absorbed. If The final (excited) nucleus is M calculate its velocity. Homework Equations p = mv/(gamma) The Attempt at a SolutionP = Mv/gamma P^2 - (Pv/c)^2 = (M^2)(v^2) P^2 = (Mv)^2 + (Pv/c)^2 V = P / sqrt(...

In the double slit experiment, an observer appears to change the behavior of the particle/wave. Would it be possible to use relativistic simultaneity to explain the change in behavior of particles/waves? A potential passing by, and being observed by an observer, causes the potential to become...

We consider two stars which initially were at rest with each other, and were gravitationally influencing each other. We assume a kind of gravitation force which propagates at light speed. Now we give equal velocity (in relatively opposite direction) to both stars. Since gravity is propagated at...

Homework Statement My teacher has written in his lecture notes that For massive relativistic particles, E = 0.5mv2 = p2/2m. Homework Equations The Attempt at a Solution I don't understand why the particle has to be massive for the equation to work. Please help!

[PLAIN]http://img46.imageshack.us/img46/1699/dsfadsfas.png The formula holds in the rest frame. Why is this particular extension 'the' extension? (Context is Electrodynamics/SR. It's just a piddly 16 lecture course that outlines Electrodynamics and SR and a bit of Quantum phenomena at the end...

Hey everyone, from Srednicki's QFT textbook I've read that there has been work on the following attempt to obtain a relativistic quantum theory: instead of treating space as a label like time, promote time to an operator, such that you get 4-position and -momentum operators. Now I know that...

Hi I'm writing a science fiction novel, and I'm trying to figure out how to make an approximation on the travel time of a hypothetical spaceship traveling at relativistic speeds. Given the following: The spaceship is capable of accelerating at a constant 1G, until it reaches a top speed of...

The problem is 2.1.b in Becker, Becker, and Schwarz. I can't figure out what I'm doing wrong... any help would be appreciated, I'm probably missing something dumb. Homework Statement For X^0=B\tau, X^1=B\cos \tau\cos\sigma, X^2=B\sin\tau\cos\sigma, X^i=0 for i>2, compute the energy and...

Hey guys, I couldn't find a question like this elsewhere on the forum so hopefully I'm not repeating what someone has already asked. Can a purely electric field in one inertial frame of reference transform into a purely magnetic field in another? Explain -- My initial instinct was...

Homework Statement Consider the following reaction that is possible when a proton (p+) collides with a photon (γ): p+ + γ → ∆+. Suppose that the photon is a cosmic microwave-background (CMB) photon of energy 2.3 × 10−4eV. Calculate the minimum energy that the proton must have for this...

Homework Statement I have a relativistic electron with energy 10^10 eV and I want to work out its speed. I'm not told if that's total energy or just kinetic energy - which is the sensible assumption to make? Homework Equations (E_tot)^2 = p^2*c^2 + m0^2*c^4 p = gamma*mv gamma =...

Hi. I was wondering if anyone has a simple derivation of relativistic momentum from lorentz transformation or the relativistic velocity addition formulas. I have attempted to understand this example: http://en.wikibooks.org/wiki/Special_Relativity/Dynamics#Momentum but I have been having...

This is NOT homework (school is out), but it has the form of a problem because making up problems is how I "test" these ideas to convince myself they work. I tried the search function and couldn't find what I was looking for. EDIT- I am not trying to "show my own theory," etc. When I have been...

Until now, I always that that a relativistic mass increase was literally just the increase in the mass of an object. Today I googled it, and a couple sources say that it is just an increase in energy, not mass. Can anyone confirm this? At first I thought if the mass increased, then it would...

I've run into a scenario in a sci-fi rpg that I'm running and I haven't been able to come up with a satisfactory answer on my own. Assuming a ship traveling at .9999c, would it be possible for another ship traveling from the same origin to the same destination, but launched later, to arrive...

Homework Statement Consider a spaceship that accelerates so that the passengers feel and acceleration equal to that of gravity of the earth’s surface, g. If the spaceship undergoes this acceleration for a time T, show that the final velocity is given by: V=c[1+(c/gT)^2]^(-1/2) Homework...

Here is something I thought about the other day that could use some clarification... say a spaceship starts its voyage towards the Earth at 0.5c at a distance of 1 light year away from the earth. All measurements are made from an observer on earth. An observer on Earth only notices the ship...

Homework Statement The speed v of electrons from a high energy accelerator is very near the speed of light c. Given the voltage V of the accelerator, calculate the ratio v/c. The relativistic formulafor this calculation is (see relevant equations) Use the binomial series to find (1-v/c) in...

In the middle of studying for my matrix mechanics/atomic orbial/diatomic bonding final and something has been itching at my buttcrack for a while. Above Z=20 or so the lower orbitals (that don't actually exist so I've come to find out) have to be calculated with relativistic QM because the...

Homework Statement Two particle P and Q each of restmass m0 and moving in collision course at 2/3c in the laboratory frame of reference. In the same collision but in particle P's frame of reference, P is at rest. Homework Equations As the total energy of the particles depends on the frame...

In non-relativistic wave mechanics, the momentum-position uncertainty relationship and the energy-time relationship exist because these variables are related via the Fourier Transform of the wave function. Is there a relativistic (QFT) equivalent or analog of the above px and Et uncertainty...

Homework Statement Two particle P and Q each of restmass m0 and moving in collision course at 2/3c in the laboratory frame of reference. In the same collision but in particle P's frame of reference, P is at rest. Homework Equations As the total energy of the particles depends on the frame...

I apologize if this is a repost, my original post didn't seem to take. If you accelerate a particle to 99% the speed of light and accelerate another particle to 99% the speed of light directly into the path of the first would this not create the observed effect from either particle that the...

Now then, this is a past paper question for only 3 marks but its annoying me. 2 identical spheres undergoing an elastic relativistic collision. The spheres move with a speed such that their CM frame kinetic energy is equal to their rest energy. Calculate the speed the spheres in the CM...

what is "relativistic mass" and "rest mass".. as far as i know the rest mass is the mass which measured by an observer who is at rest relative to the object (please correct me if this is not right), if this is right... what if when the object is traveling at the exactly same velocity of the...

Are Einstein's energy equations for relativistic speeds linear? For example, if you had something going at relativistic speed and then slowed it, but still had it at relativistic speed, would the decrease in energy be directly proportional to the amount you slowed the thing down? Thanks, Jake

Looking on the internet, it seems to very difficult to find a simple straightforward statement of the equations for relativistic centripetal force. This is my point of view and hopefully with some feedback we can come to a consensus. Consider a test mass moving in a circle with radius r. The...

I need a formula that yields the speed and angle after a 2D collision that uses the coefficient of restitution (e). Preferably this would also be relativistic. I have searched EVERYWHERE for this and could not find it. To "prove" that I have indeed tried I have read the collision sections of...

Homework Statement A certain star is 76.6 light-years away. How many years would it take a spacecraft traveling 0.946c to reach that star from Earth, as measured by observers on Earth? How many years would it take to reach that star from Earth, as measured by observers on the spacecraft ...

Is it possible?? I am not familiar with the idea due to not having studied anything about it yet, but I am curious I mean it is theorized that you need unfathomably large amounts of energy (some sources say infinite amounts of energy) and gravity is, in a sense, an unlimited amount of...

likewise energy & momentum of an object is considered in relativistic approach, does force also? since rate of change in momentum is known as FORCE, why not we study force in relativistic approach?

I am trying to understand a section in a textbook I have regarding Special Relativity, specifically deriving an expression for what is known as "relativistic mass", in order to find an expression for "relativistic momentum". I have attached the pages in the book which are giving me trouble, more...

Homework Statement Faraway Point starbase launches a probe toward the starships approaching from the same direction. The probe has a velocity relative to the Picard of -0.895c. The Picard approaches starbase Faraway Point with a speed of 0.795c, and the La Forge approaches the starbase with a...

Could someone please either derive or point me towards a derivation of the Lorentz invariance of action? Thanks.

The ‘speed’ of gravity, like everything else, is also limited to the speed of light. So if two bodies [with mass] are traveling in the same direction with one trailing directly behind the other by some distance and both bodies are traveling at .999 C how does the gravity work between them? For...

according to mass-energy equivalent theorem, Regardless of whether the object is at rest or moving, the object of mass m having energy E=mc2. suppose a ball of mass m is placed on ground, then how much energy this ball have? Is it equal to E=mc2 ?? now if we place this ball above the...

Wikipedia says that the core temperature of our Sun is 15.7×10^6 Kelvins. I don't know what that means in terms of protons' velocities inside the core, but I bet they move pretty fast. Could they move that fast that they have a noticeable increase in mass due to their relativistic speed...

Hello. I have read many of the posts on this forum concerning relativistic accelerations, constant accelerations to exceed the speed of light, etc. and one thing is still bothering me about the concept: why can one not accelerate constantly to achieve any arbitrary velocity as calculated in...

The following is a paper I wrote mainly to collect my thoughts and document some research I did about interstellar space flight. The main ideas for this paper grew out of the things I always hear people talk about (blueshifted radiation) but I never see the math behind it, so I developed a few...

How would you go about solving a problem involving a lens moving at relativistic speeds, or an object being relativistic being viewed through a lens? instead of coming up with a specific problem, does anyone know what happens to lens' focal length and such as its velocity becomes large? not so...