heisenberg algebra वाक्य

उदाहरण वाक्य

1. For example, the Heisenberg algebra gives another Lie algebra structure on \ scriptstyle \ mathbf { R } ^ 3.
2. E 7?has dimension 190, but is not a simple Lie algebra : it contains a 57 dimensional Heisenberg algebra as its nilradical.
3. This quantum group was linked to a toy model of Planck scale physics implementing Born reciprocity when viewed as a deformation of the Heisenberg algebra of quantum mechanics.
4. It is not semi-simple and can be obtained as a semi-direct sum of the Lie algebra sl ( 2, R ) and the Heisenberg algebra.
5. The universal enveloping algebra of the Heisenberg algebra is the Weyl algebra ( modulo the relation that the center be the unit ); here, the \ star product is called the Moyal product.
6. In even dimensions D any nondegenerate such theta can be transformed to a normal form in which this really is just the Heisenberg algebra but the difference that the variables are being proposed as those of spacetime.
7. This situation is clearly different from the case where the positions are taken to be real-valued, but does offer insights into the overall algebraic structure of the Heisenberg algebra and its envelope, the Weyl algebra.
8. The relationship of the Moyal product to the generalized  &-product used in the definition of the " algebra of symbols " of a universal enveloping algebra follows from the fact that the Weyl algebra is the universal enveloping algebra of the Heisenberg algebra ( modulo that the center equals the unit ).