You could also understand how the mathematical pi is still useful physically in a curved spacetime, for example when integrating over space in polar coordinates: We assume that the integration of an angle over a whole circle is given by 2 \pi, and you might wonder that since this wouldn't equate...
Hey all,
just a simple question that's confusing me about amplitudes for feynman diagrams. How do i know whether a system needs to be considered as being on shell, and hence has an imaginary component included in the denominator of the propagator?
If i have one propagator which is required...
actually, if you were to ignore the possibility of those neurons being damaged by the outside world, i could to some extent imagine there being causality within your brain. as long as all the neurons are still there at time t=0, you could in theory rebuild any experience at time -t. what...
it doesn't have infinite potential as it is limited by the number of neurons it contains. you can recall something after an indefinitely long time, but only if you haven't experienced a single other thing since that event. remember it is intentionally working to destroy your memory to give it...
a memory of an event isn't just an electrical signal stored in your brain. for your brain to remember something it has to be able to connect two neurons via electrical signals along previously formed paths. every time a neuron fires an electrical signal along a certain path, neorotransmitters...
ok so the photons are still affected by the gravitational potential of the other particle after decay, but what happens to the other particle after this? is the energy lost by the photons making up for the energy gained by the other particle by losing its original graitational well?
eh the center of mass would still be at the same point so not much i would guess? but there's still the same amount of mass, it's just been seperated. I'm tsalking about when the net mass of the system is reduced after the event, i don't see how the two relate.
two massive particles a finite distance from each other are bound to each other gravitationally, so if one disappeared the other one would have its energy altered, and the conservation of mass-energy would be broken.
so what happens when a massive particle decays to a less massive particle...
so the upper and lower indices are like dual spaces? what advantage is there to raising indices, why is it necessary that they be used in Classical field theory?
in my fields course we are using the metric tensor g=diagonal(1,-1,-1,-1), off diagonal(0)
i'm looking for an explanation of why the time coordinate has to be orientated oppositely to the spatial coordinates. can anyone give me an explanation of this?
i'm also lost with upper and lower...
Homework Statement
find the wavefunction of a particle in a potential
V(x)= 0, |x|< a
V, |x|< b (V>0)
(Infinity), |x|>=b
ground state energy 0<=E<=V
Homework Equations
The Attempt at a Solution
i know the wavefunction has to be equal to zero at...
i've just encountered coherent states while studying the quantum oscillator, and I'm trying to understand some of the semiclassical properties of them. can someone give me a brief description of what they represent in the system and of how they vary in time?
Homework Statement
given a harmonic oscillator initially in a coherent state [alpha(0)>, alpha = pe^(iv) find the state of the system at time t.
Homework Equations
H = hw/2pi(N+1/2) for harmonic oscillator
given answer: state at time t = e^(-iwt/2)[alpha(t)>
The Attempt at a...
i'm doing a mathematical course on quantum mechanics and am looking for a good introductory book on formal descriptions of the subject. would the feynmann lectures volume iii be suitable for this?