Local bi-integrability of bi-Hamiltonian systems via bi-Poisson reduction

Autor: Kozlov, I. K.

We prove that any bi-Hamiltonian system $v = \left(\mathcal{A} + \lambda \mathcal{B}\right)dH_{\lambda}$ that is Hamiltonian with respect all Poisson brackets $\mathcal{A} + \lambda \mathcal{B}$ is locally bi-integrable in both the real smooth case,

Externí odkaz: http://arxiv.org/abs/2410.20574

Optical Orientation of Mn$^{2+}$ Spins in Bulk (Zn, Mn)Se Induced by Magnetic Field

Autor: Kozyrev, N. V., Baryshnikov, K. A., Namozov, B. R., Kozlov, I. I., Boiko, M. E., Averkiev, N. S., Kusrayev, Yu. G.

The optical orientation of Mn$^{2+}$ spins in the first excited state $^4$T$_1$ was experimentally observed in bulk (Zn, Mn)Se ($x_\mathrm{Mn}=0.01$) in the an external magnetic field of up to $6\,$T in Faraday geometry. This occurred during quasi-re

Externí odkaz: http://arxiv.org/abs/2410.09581

New techniques for calculation of Jordan-Kronecker invariants for Lie algebras and Lie algebra representations

Autor: Kozlov, I. K.

We introduce two novel techniques that simplify calculation of Jordan-Kronecker invariants for a Lie algebra $\mathfrak{g}$ and for a Lie algebra representation $\rho$. First, the stratification of matrix pencils under strict equivalence puts restric

Externí odkaz: http://arxiv.org/abs/2409.09535

The BM@N spectrometer at the NICA accelerator complex

Autor: Afanasiev, S., Agakishiev, G., Aleksandrov, E., Aleksandrov, I., Alekseev, P., Alishina, K., Astakhov, V., Atkin, E., Aushev, T., Azorskiy, V., Babkin, V., Balashov, N., Barak, R., Baranov, A., Baranov, D., Baranova, N., Barbashina, N., Baznat, M., Bazylev, S., Belov, M., Blau, D., Bocharnikov, V., Bogdanova, G., Bolozdynya, A., Bondar, E., Boos, E., Buryakov, M., Buzin, S., Chebotov, A., Chemezov, D., Chen, J. H., Demanov, A., Dementev, D., Dmitriev, A., Drnoyan, J., Dryablov, D., Dryuk, A., Dubinchik, B., Dulov, P., Egorov, A., Egorov, D., Elsha, V., Fediunin, A., Fedosimova, A., Filippov, I., Filozova, I., Finogeev, D., Gabdrakhmanov, I., Galavanov, A., Gavrischuk, O., Gertsenberger, K., Golosov, O., Golovatyuk, V., Grigoriev, P., Golubeva, M., Guber, F., Ibraimova, S., Idrisov, D., Idrissova, T., Iusupova, A., Ivashkin, A., Izvestnyy, A., Kabadzhov, V., Kanokova, Sh., Kapishin, M., Kapitonov, I., Karjavin, V., Karmanov, D., Karpushkin, N., Kattabekov, R., Kekelidze, V., Khabarov, S., Kharlamov, P., Khudaiberdyev, G., Khukhaeva, A., Khvorostukhin, A., Kiryushin, Yu., Klimai, P., Kolesnikov, V., Kolozhvari, A., Kopylov, Yu., Korolev, M., Kovachev, L., Kovalev, I., Kruglova, I., Kovalev, Yu., Kozlov, I., Kozlov, V., Kuklin, S., Kulish, E., Kurganov, A., Kutergina, V., Kuznetsov, A., Ladygin, E., Lanskoy, D., Lashmanov, N., Lebedev, I., Lenivenko, V., Lednicky, R., Leontiev, V., Liapin, D., Litvinenko, E., Ma, Y. G., Makankin, A., Makhnev, A., Malakhov, A., Mamaev, M., Martemianov, A., Martovitsky, E., Mashitsin, K., Merkin, M., Merts, S., Morozov, S., Murin, Yu., Musaev, K., Musulmanbekov, G., Myasnikov, A., Myktybekov, D., Nagdasev, R., Nemnyugin, S., Nikitin, D., Novozhilov, S., Olimov, Kh., Olimov, K., Palichik, V., Parfenov, P., Pelevanyuk, I., Peresunko, D., Piyadin, S., Platonova, M., Plotnikov, V., Podgainy, D., Pukhaeva, N., Ratnikov, F., Reshetova, S., Rogov, V., Romanov, I., Rufanov, I., Rukoyatkin, P., Rumyantsev, M., Rybakov, T., Sakulin, D., Sedykh, S., Serebryakov, D., Shabanov, A., Segal, I., Semak, A., Sergeev, S., Serikkanov, A., Sheremetev, A., Sheremeteva, A., Shchipunov, A., Shitenkov, M., Shopova, M., Shumikhin, V., Shutov, A., Shutov, V., Shodmonov, M., Slepnev, I., Slepnev, V., Slepov, I., Smirnov, A., Smolyanin, T., Solomin, A., Sorin, A., Sosnovtsev, V., Spaskov, V., Stavinskiy, A., Stekhanov, V., Stepanenko, Yu., Streletskaya, E., Streltsova, O., Strikhanov, M., Sukhov, E., Suvarieva, D., Taer, G., Taranenko, A., Tarasov, N., Tarasov, O., Teremkov, P., Terletsky, A., Teryaev, O., Tcholakov, V., Tikhomirov, V., Timoshenko, A., Tojiboev, O., Topilin, N., Tretyakova, T., Troshin, V., Truttse, A., Tserruya, I., Tskhay, V., Tyapkin, I., Ustinov, V., Vasendina, V., Velichkov, V., Volkov, V., Voronin, A., Voytishin, N., Yuldashev, B., Yurevich, V., Zamiatin, N., Zavertyaev, M., Zhang, S., Zhavoronkova, I., Zhezher, V., Zhigareva, N., Zinchenko, A., Zubankov, A., Zubarev, E., Zuev, M.

BM@N (Baryonic Matter at Nuclotron) is the first experiment operating and taking data at the Nuclotron/NICA ion-accelerating complex.The aim of the BM@N experiment is to study interactions of relativistic heavy-ion beams with fixed targets. We presen

Externí odkaz: http://arxiv.org/abs/2312.17573

Realization of Jordan-Kronecker invariants by Lie algebras

Autor: Kozlov, I. K.

We study what Jordan-Kronecker invariants of Lie algebras, introduced by A. V. Bolsinov and P. Zhang, are possible. We completely solve this problem in the Jordan and the Kronecker cases. We prove that any JK invariants that contain the Kronecker $3

Externí odkaz: http://arxiv.org/abs/2307.08642