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Fisika Zat Padat (12 - 14) a-magnetic_effects_in_quantum _mechanics
- 1. Pertemuan 12 - 14 FISIKA ZAT PADAT Iwan Sugihartono, M.Si Jurusan Fisika Fakultas Matematika dan Ilmu Pengetahuan Alam
- 3. Two levels system | cb ( t ) | 2 = cos(ω t )2 where ω is the Rabi frequency 02/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
- 4. 02/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
- 5. 02/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
- 8. Electron in a Magnetic field Quantization P change to P op and r to r op Wave function Lev_Davidovich_Landau 02/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
- 9. is easy to check that To actually solve Schrödinger’s equation for an electron confined to a plane in a uniform perpendicular magnetic field, it is convenient to use the Landau gauge. ) . H commutes with px , so H and px have a common set of eigenstates, taking 02/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
- 10. Landau Levels Example of quantization measurement Effects of Landau levels are only observed when the mean thermal energy is smaller than the energy level separation, , meaning low temperatures and strong magnetic fields 02/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
- 13. Dong-In Chang, Gyong Luck Khym , Kicheon Kang, Yunchul Chung, Hu-Jong Lee, Minky Seo, Moty Heiblum, Diana Mahalu, Vladimir Umansky Nature Physics 4, 205 (2008) 02/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
- 14. Aharonov-Bohm Oscillations in Semiconductor Quantum Rings Now an international research team from the Nijmegen High Field Magnet Laboratory (the Netherlands), the Eindhoven University of Technology (the Netherlands), the University of Antwerp (Belgium), the University of Moldova (Moldova) and the the Institute of Microelectronics in Madrid (Spain) has succeeded to detect oscillatory currents carried by single electron states in a semiconductor quantum ring. These findings were published in the journal Physical Review Letters. 02/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
- 15. THANK YOU 02/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |