524 citations · 10.3k across the 134 of their papers we have counts for
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Exact perturbative results for the Lieb-Liniger and Gaudin-Yang models
Marcos Marino, Tomas Reis
We present a systematic procedure to extract the perturbative series for the ground state energy density in the Lieb-Liniger and Gaudin-Yang models, starting from the Bethe ansatz…
Spectral Theory and Mirror Symmetry
Marcos Marino
Recent developments in string theory have revealed a surprising connection between spectral theory and local mirror symmetry: it has been found that the quantization of mirror curv…
Quantization of classical integrable systems. Part IV: systems of resonant oscillators
M. Marino, N. N. Nekhoroshev
By applying methods already discussed in a previous series of papers by the same authors, we construct here classes of integrable quantum systems which correspond to n fully resona…
Quantization of classical integrable systems. Part II: quantization of functions on Poisson manifolds
M. Marino, N. N. Nekhoroshev
In a previous work we have introduced the concept of quasi-integrable quantum system. In the present one we determine sufficient conditions under which, given an integrable classic…
Quantization of classical integrable systems. Part I: quasi-integrable quantum systems
M. Marino, N. N. Nekhoroshev
We propose in this work a concept of integrability for quantum systems, which corresponds to the concept of noncommutative integrability for systems in classical mechanics. We dete…
Quantization of classical integrable systems. Part III: systems in n-dimensional Euclidean space
M. Marino, N. N. Nekhoroshev
In this paper we give examples of applications of general methods of quantization by symmetrization of classical integrable systems, which have been illustrated in two previous wor…