# Questions tagged [matrix-model]

A matrix model is a non-peturbative formulation of a theory, such as string theory based on Matrix quantum mechanics

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### Does any matrix integral with arbitrary potential has a 2D gravity dual?

Regarding the duality between matrix ensembles and gravity, the relationship has indeed been discussed in various papers, including arXiv:1903.11115, arXiv:1907.03363, and arXiv:2006.13414, among ...
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### How to get the eigenvalue density contribution $\rho_1(x)$?

I'm studying the $1/N$ expansion beyond the planar limit in matrix models. Currently I'm trying to understand and reproduce the results of: Antisymmetric Wilson loops in $\mathcal N \geq 4$ SYM ...
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### Basis of eigenvectors common to H and B

Considering a three-dimensional state space spanned by the orthonormal basis formed by the three kets $|u_1\rangle,|u_2\rangle,|u_3\rangle$. In the basis of these three vectors, taken in order, are ...
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### Hamiltonian matrix for a delta potential with periodic boundary condition

I'm trying to find the energy eigenvalues of a Dirac delta potential: $$V(x)=-\alpha\delta(x)$$ with periodic boundary condition over some length $L$: $$\psi(x+L)=\psi(x)$$ and only even ...
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### Gaussian beam propagation with ABCD matrix through a grin lens

I am currently trying to simulate a Gaussian beam that has a transverse offset of around 20um from the optic axis where the Gaussian beam travels through a grin lens using the ABCD matrix method. I ...
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### On the Equivalence of Schrodinger and Heisenberg Descriptions of Quantum Mechanics and Observability

I'm not a physicist, but rather a control (feedback) systems engineer eager to understand more than just a cursory explanation of quantum mechanics. The StackExchange has been an excellent forum for ...
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### What information does the trace of a matrix give?

I was recently thinking what information do we get from a matrix. So if we say the columns (or rows) of a matrix define the basis of a system, say vectors of 3 dimensional space. Then the determinant ...
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