heisenberg algebra वाक्य
उदाहरण वाक्य
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- For example, the Heisenberg algebra gives another Lie algebra structure on \ scriptstyle \ mathbf { R } ^ 3.
- E 7?has dimension 190, but is not a simple Lie algebra : it contains a 57 dimensional Heisenberg algebra as its nilradical.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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 ).
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