# 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.

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### Lie Algebra Homomorphism for Fundamental Vector Field

This question is based on the exercise 10.1 (b) in "Geometry, Topology, and Physics" by Nakahara. Let $G\rightarrow P \rightarrow M$ be a principal bundle. Given an element of the Lie ...
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### Book on $SL(2,C)$

Is there a book, which treats $SL(2,C)$ in detail as a group, Lie group, its Lie algebra, geometry of its subgroups etc.? It is often seen as an example in Lie Algebra/Group books but it always ...
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### What will happen if we change all the resistances in an infinite resistance ladder to their double value? [closed]

Let's have a circuit as below: Circuit 1 If the equivalent resistance of above circuit is $Z$ and if we have another circuit as below: Circuit 2 And if the equivalent resistance of above circuit is $R$...
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### Help me with this math problem [closed]

Is there an exponential density that satisfies the following condition $p(x\le 2)= \frac{2}{3} p(x\le 3)$? If so, what is the value of delta?
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### Why is the solution of the Klein-Gordon PDE a distribution?

I've also posted this question on physics SE in case it is more appropiate there. Consider the Klein-Gordon equation: $$(\square + m^2)\phi = (\partial_t^2 - \Delta + m^2)\phi = 0 \tag{1}$$ The ...
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### Fourier Series of a non periodic function

In our textbook the given example-question is as follows (written in bold): Find a fourier series to represent $x-x^2$ from $x= -\pi$ to $x= \pi$ But the function given $x-x^2$ is non periodic, ...
1 vote
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### Tannaka–Krein duality in non-compact case

The Tannaka–Krein duality provides a way to reconstruct a group (up to isomorphisms) from the category of linear representations of that group. In physics, this duality is sometimes used as a ...
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### The algebra $\Gamma^\infty(\mathbb{C}l(M))$ is generated by $\Omega^1(M)$

I'm reading "Elements of Noncommutative Geometry" by Garcia-Bondía. There it was mentioned that the algebra $\Gamma^\infty(\mathbb{C}l(M))$ is generated by $\Omega^1(M)$. Here $\Omega^1(M)$ ...
1 vote