VAQT BO‘YICHA O‘ZGARUVCHI KUCHSIZ MAGNIT MAYDONDA LANDAU SATHLARINING ENERGETIK SPEKTRINI NAZARIY TAHLIL QILISH
Ключевые слова:
Landau sathlari, 2D elektron gaz, kuchsiz magnit maydon, vaqtga bog‘liq maydon, siklotron chastotasi, kvantlanish, energetik spektr.Аннотация
Ushbu ishda ikki o‘lchamli elektron gazining vaqt bo‘yicha o‘zgaruvchi kuchsiz magnit maydondagi Landau sathlari nazariy tahlil qilinadi. Kuchsiz modulyatsiya shartida energiya sathlarining siljishi, sathlar oralig‘i va fazoviy evolyutsiyasi grafik jihatdan ko‘rsatiladi.
Библиографические ссылки
1. Perez, N., Heifetz, E. (2026). Landau levels in a time-dependent magnetic field: the Madelung fluid perspective. Journal of Physics A: Mathematical and Theoretical, 59(32), 325301.
2. Govindarajan, T. R., Nair, V. P. (2026). Time-dependent magnetic fields and the quantum Hall effect. Physical Review B, 114, 065434.
3. Shi, L.-K. (2025). Algebraic exact solution for driven Landau levels in two-dimensional electron gases. Physical Review B, 112, 165108.
4. Tong, D. The Quantum Hall Effect. Cambridge University lecture notes. arXiv:1606.06687 [https://arxiv.org/abs/1606.06687]
5. Lewis, H. R., Jr., Riesenfeld, W. B. (1969). An exact quantum theory of the time-dependent harmonic oscillator and of a charged particle in a time-dependent electromagnetic field. Journal of Mathematical Physics, 10, 1458.
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