All Questions
Tagged with unruh-effect special-relativity
16
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Is there an analogous Unruh effect for observers on a rigidly rotating ring?
I read up on the Unruh effect recently and what I got from it is that its basically a result of transforming to Rindler coordinates and using a Bogoliubov transformation to change the creation and ...
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Does the Unruh effect need the accelerating observer's Hilbert space to be smaller than the inertial one?
I've encounter two different approaches to the Unruh effect and I feel like they are not consistent with one another.
Bogoliubov Transformation
In this approach the basic statement is that the vacuum ...
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Usage of Rindler coordinates in studying Unruh Effect
When studying the Unruh Effect, Rindler coordinates are being used for the observer with constant acceleration. I am confused as to why Rindler coordinates are used as I do not see the motivation for ...
user161157
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Interpretation of the nonuniqueness of vacuum of QFT in flat spacetime for a given inertial observer; No Lorentz transformation; No accelerated motion
Consider an inertial observer in flat spacetime with a choice of coordinates $(t,{\vec x})$. This observer can expand a quantum field $\hat{\phi}$ in more than one complete set of orthonormal modes. ...
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What is the interpretation of non-uniqueness of field expansion in flat spacetime?
Scalar field expansion in terms of plane wave modes is given by
$$\phi(x)=\int\frac{d^3{\vec p}}{\sqrt{(2\pi)^{3}2\omega_{\vec p}}}\left(a_{\vec p}e^{-ip\cdot x}+a_p^\dagger e^{+ip\cdot x}\right)$$ ...
- 11.8k
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Unruh particles
When we accelerate, an event horizon forms behind us resulting in Unruh radiation. In this kind of scenario, the existence of the radiation particles themselves is observer dependent.
My question is: ...
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How to relate the coordinates of a lab-frame observer and an uniformly accelerating observer?
If there is lab-frame observer with coordinates $(t,x)$ and a uniformly acceletaing observer in $1+1$ dimensional flat Minkowski spacetime with coordinates $(t',x')$, can we analytically relate $(t',...
- 11.8k
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Is the Unruh effect a special relativistic effect or a general relativistic effect?
If an observer moves in an accelerated frame in flat spacetime, the vacuum looks like a thermal distribution of particles to that observer. This is the Unruh effect.
Is it a special relativistic (SR) ...
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Why to we take the Minkowski vacuum to calculate the thermal Unruh distribution?
Looking at a derivation for the Unruh effect, this generally ends with a calculation of the particle distrubution:
$$\langle{0_M}|b^\dagger b|0_M\rangle=\frac{1}{\exp\left(\frac{\hbar\omega}{k_BT_U}\...
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Question about path integral step of the rindler decomposition
In most papers where I've read about Rindler decomposition and the Unruh effect ( see for example [1] or [2]) they start by saying that they want to find the wavefunction of the vacuum state in the ...
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What is the Unruh temperature for an observer at near the speed of light?
I have read about the Unruh effect where an accelerated observer would experience a radiation that a non accelerated observer wouldn't.
According to wikipedia the formula goes like this:
My question ...
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What does an accelerated body's *interaction* with Unruh radiation look like in an inertial frame?
(Note: I'm only considering flat spacetime in this question.) The Unruh effect is that the quantum state that looks like the vacuum in an inertial frame looks like a thermal bath of particles in a ...
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Can I view all Bogoliubov transformations as frames in space-time?
I have recently learned about the Unruh effect and the fact that when going from a stationary to an accelerated reference frame the quantum state is updated by a Bogoliubov transformation.
Does every ...
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Does the Unruh effect really describe a thermal bath?
If we consider a free (massless scalar) field $\phi$ in Minkowski space and look at it in Rindler coordinates (which correspond to what an accelerated observer sees), we find that the action of the ...
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Is there an equivalent of Rindler coordinates for an object in centripetal motion?
Rindler coordinates are a parametrization of (a subset of) Minkowski space that are "natural" for an object experiencing constant acceleration - more specifically, an object experiencing ...
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