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Questions tagged [mathematical-physics]

DO NOT USE THIS TAG for elementary physical questions. This tag is intended for questions on modern mathematical methods used in quantum theory, general relativity, string theory, integrable system etc at an advanced undergraduate or graduate level.

"Mathematical physics consists of the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and for the formulation of physical theories." (from Journal of Mathematical Physics). This tag is intended for questions on mathematical methods used in quantum theory, general relativity, string theory, integrable system etc at an advanced undergraduate or graduate level.

Do not use just because your question involves physics!

See also Physics Stack Exchange's discussion on mathematical physics, Math Overflow's discussion on mathematical physics and Physics Overflow for further reference.

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Mechanics: Car approaching traffic lights

A driverless car registers that the traffic lights change to amber 40m ahead. The amber light is a 2s warning before turning red. The car is travelling at 17m/s and can accelerate at 4m/s^2 or brake safely at 8m/s^2. What options does the car have?
Shah21
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Complex Numbers/Squared Magnitude

I am taking a power engineering class and I am not sure about taking the squared magnitude of the complex numbers. I figured out most of numbers, except -54.24Vrfl. Please click on the picture: enter image description here. Can someone tell me how…
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Power series solution)I’m from across the continent plz help me

Firstly Im from japanese and belong to university.I came all the way here cuz my country dont have a proper site to ask. My question is easy so plz help me... The problem is about lecture -That link…
Alexander
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What is the value of alternating series which I mention below

Plz tell me about this more , Is its value in terms of π ? If so then plz tell me what is that value.
A. S. SURYAVANSHI
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Relationship between kinetic friction and static friction

I am having trouble understanding the link between kinetic and static friction. Specifically how the force "locks down" or instantaneously stops an object before velocity is zero, after some time of kinetic friction slowing the object down. In…
E. l4d3
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If resultant of two forces is given and smaller force is perpendicular to the resultant find both the forces.

Two forces $\mathbf{F}_1$ and $\mathbf{F}_2$ such that $F_1$ is greater than $F_2$, the magnitude of their resultant force is $18$ N the resultant of this two forces is perpendicular to smaller one i.e $F_2$. find them?
yashwant k
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Time-independent Schrodinger equation

the equation : (-h/2m)y'' + U(x)y = (E)y How do you put the time-independent Schrodinger equation in the form of: y'' + G(x)y' + P(x)y = 0
user240494
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Shouldn’t people teach more accurate versions of $E=mc^2$?

I know they teach $E^2=(mc^2)^2+(pc)^2$ but in my opinion this equation is ugly. There is an equation that is even more accurate and, in my opinion, looks better. So why not teach it? First off, this is something I did for fun, but my question,…
spydragon
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Mathematical methods in physics

How to solve $\Gamma(-n)$? Which formula is good to get answer for the above question? I tried of various formulae to solve it but I couldn't make it out. What is the right way to approach the above question?
ASHIKA karikkalan
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Integrals of dx dx

Question A positive charge is distributed uniformly with charge density $\lambda$ along a line of length $L$. Find the electric potential of this charge distribution at point P, a horizontal distance $d$ from the line of charge (taking the potential…
mathnoob123
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Speed to break a rock climbing quick draw

I have a quickdraw (a lifesaving device used during rock climbing). It has a strength rating of 22kN (4945.8 pounds force). Assuming I weigh 200 lbs and slow/decelerate over 1 second, how fast would I have to be moving to break the quickdraw?
Davis Pearson
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Double integral of symmetric function

Can someone please derive and explain how the LHS is equal to the RHS using the fact that the function $f$ is symmetrical with respect to time variables $t_1$ and $t_2$. Here $t$ is some constant. $\int_{0}^{t}dt_1 \int_{0}^{t} dt_2 f(t_2-t_1) = 2…
Divya Ghai
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