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Filippo
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41 votes
3 answers
3k views

Do all Noether theorems have a common mathematical structure?

10 votes
3 answers
1k views

Why is absolute time considered an axiom of Newtonian mechanics? What statements are based on this axiom?

9 votes
1 answer
582 views

Spectral decomposition vs Taylor Expansion

8 votes
1 answer
904 views

Two different versions of Schrödinger's equation - are they equivalent?

8 votes
3 answers
547 views

Is the Born rule usually regarded an axiom in quantum mechanics?

6 votes
2 answers
128 views

$A^{\alpha}=(\phi,\vec{A})$ or $A_{\alpha}=(\phi,\vec{A})$?

6 votes
5 answers
657 views

How are vector quantities in three dimensions (velocity, electric field, etc.) modeled in mathematical physics?

4 votes
2 answers
576 views

Dirac-delta-functions as eigenbasis of the position operator - pure nonsense? Or can more be said?

4 votes
1 answer
183 views

A critical step in Fujikawa's proof of the Atiyah Singer index theorem

3 votes
1 answer
133 views

When and why can the spin connection term of the Dirac Operator be omitted?

3 votes
2 answers
390 views

Definition of $k^0$ in Getzler's proof of the Atiyah-Singer index theorem

3 votes
1 answer
404 views

Proof that conservation of momentum is Lorentz invariant

3 votes
1 answer
105 views

The inhomogeneous Maxwell equation ${*}\mathrm d{*}F=J^\flat$ is only true for the signature $(+---)$?

3 votes
2 answers
159 views

Reference request - derivation of $\mathrm{ind}\,D_+=-\frac{1}{8\pi^2}\int\text{tr}\,F\wedge F$

3 votes
3 answers
171 views

What is the equivalent to $\Box A^\alpha =- \mu_0 J^\alpha$ using differential forms?

3 votes
0 answers
180 views

HaMiDeW coefficients - recursive calculation of the coincidence limits

2 votes
3 answers
154 views

Calling angles dimensionless and simultaneously distinguishing between numbers and angles is inconsistent, isn't it?

2 votes
0 answers
62 views

Ising model - Two different Gibbs distributions? (Friedli-Velenik)

2 votes
1 answer
58 views

Differential operators in QM whose domain is a subspace of $L^2$ act on equivalence classes - How is that even defined?

2 votes
3 answers
237 views

Is the equation $[\nabla_{\mu},\nabla_{\nu}]=F_{\mu\nu}$ correct? If yes, how does it have to be interpreted?

2 votes
2 answers
402 views

Gauge theory - definition of the trace

2 votes
3 answers
207 views

Explanation of $\sum_n\langle\psi_n(x)|(O\psi_n)(x)\rangle=:(\mathrm{tr}\,O)(x)=\mathrm{tr}\int\frac{\mathrm{d}k}{(2\pi)^4}e^{ikx}Oe^{-ikx}$

2 votes
1 answer
72 views

I get an extra term when I try to derive $\nabla\!\!\!\!/\ ^2=\nabla_\mu \nabla^\mu+\frac{1}{4}[\gamma^\mu,\gamma^\nu]F_{\mu\nu}$

2 votes
1 answer
80 views

The Lorentz group is only equal to $O(1,3)$ if $c=1$?

2 votes
1 answer
147 views

A formulation of (classical) electrodynamics using fiber bundles

2 votes
1 answer
113 views

Exponential of operators not defined on a Hilbert space (Dirac operator)

1 vote
1 answer
69 views

Is $k_t(x,x)\sim(4\pi t)^{-n/2}\mathrm{e}^{-tF}$ if $R=0$? (Dirac operator, heat kernels)

1 vote
0 answers
122 views

Given the mass density $\rho(x):=1/|x|$, a ball centered in the origin contains a finite amount of mass

1 vote
2 answers
155 views

On the proof that $4$-velocity transforms like vector

1 vote
1 answer
141 views

Interpretation of Lorentz boosts