THEORETICAL ANALYSIS OF THE ENERGY SPECTRUM OF LANDAU LEVELS IN A TIME-VARYING WEAK MAGNETIC FIELD

Authors

  • Laylo Habibullayeva Author

Keywords:

Landau levels, two-dimensional electron gas, weak magnetic field, time-dependent magnetic field, cyclotron frequency, quantization, energy spectrum.

Abstract

This study presents a theoretical analysis of Landau levels in a two-dimensional electron gas subjected to a time-varying weak magnetic field. Under the weak modulation condition, the shifts of the energy levels, the spacing between adjacent levels, and their temporal evolution are presented graphically.

References

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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.

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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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Published

2026-10-06

How to Cite

Habibullayeva , L. (2026). THEORETICAL ANALYSIS OF THE ENERGY SPECTRUM OF LANDAU LEVELS IN A TIME-VARYING WEAK MAGNETIC FIELD. UZBEKISTAN — 2030: PROSPECTS FOR INNOVATION, SCIENCE AND EDUCATION, 2(2), 7-10. https://konferensiyalar.com/index.php/ifti/article/view/702