Heisenberg Quantization for Systems of Identical Particles and the Pauli Exclusion Principle in Noncommutative Spaces

Abstract

1 Abstract. We study the Heisenberg quantization for the systems of identical particles in noncommtative spaces. We get fermions and bosons as a special cases of our argument, in the same way as commutative case and therefore we conclude that the Pauli exclusion principle is also valid in noncommutative spaces.

Running of the Spectral Index in Noncommutative Inflation

“…In recent years there have been a lot of work devoted to the study of noncommutative field theory or noncommutative quantum mechanics and possible experimental consequences of extensions of the standard formalism [2][3][4][5][6][7][8][9][10][11][12][13]. In the last few years there has been also a growing interest in probing the space-space noncommutativity effects on cosmological observations [14][15][16][17][18][19][20][21][22][23][24][25][26].…”

Noncommutative Decrumpling Inflation and Running of the Spectral Index

“…[11][12][13][14][15][16][17][18][19] In the last few years there has been also a growing interest in probing the space-space noncommutativity effects on cosmological observations. 20- 25 We will use the natural units system that sets k B , c, and all equal to one, so that P = M −1 P = √ G. To read easily this article we also use the notation D t instead of D(t), which means that the space dimension D is a function of time.…”