1999/11/04 by Yun Soo Myung, Y. S. Myung, H. W. Lee +3
Engineering · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Low-power high-performance VLSI design #Noncommutative and Quantum Gravity Theories #cond-mat.mes-hall #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9911031
some references were added, 7 pages, no figure in RevTeX
arxiv created 1999/11/10 · arxiv updated 2009/11/30
We propose the two formalisms for obtaining the noncommutative spacetime in a magnetic field. One is the first-order formalism and the other is the second-order formalism. Although the noncommutative spacetime is realized manifestly in the first-order formalism, the second-order formalism would be more useful for calculating the physical quantities in the noncommutative geometry than the first-order one. Several interesting points for string theory and fractional quantum Hall effect are discussed. In particular, we point out that the noncommutative geometry is closely related to the fractional quantum Hall effect(FQHE).