例句與造句

1. Such a transformation is called a diagonalizable matrix since in the eigenbasis, the transformation is represented by a diagonal matrix.
2. For a rigorous statement of the expansion of an S-diagonalizable operator, or observable, in its eigenbasis or in another basis, see.
3. As above, assume that a state | \ psi \ rangle is a state in the simultaneous eigenbasis of J ^ 2 and J _ z.
4. For any observable, the wave function is initially some linear combination of the eigenbasis \ { | \ phi _ i \ rangle \ } of that observable.
5. By the spectral theorem, real symmetric matrices and complex Hermitian matrices have an eigenbasis; that is, every vector is expressible as a linear combination of eigenvectors.
6. It's difficult to find eigenbasis in a sentence. 用eigenbasis造句挺難的
7. Therefore, the basis we were looking for is the simultaneous eigenbasis of these five operators ( i . e ., the basis where all five are diagonal ).
8. By the spectral theorem, real symmetric matrices and complex Hermitian matrices have an eigenbasis; i . e ., every vector is expressible as a linear combination of eigenvectors.
9. The ability to decompose | b \ rangle into the eigenbasis of A and to find the corresponding eigenvalues \ lambda _ j is facilitated by the use of quantum phase estimation.
10. Instead, measurements of the observable A will yield each eigenvalue with a certain probability ( related to the decomposition of " ? " relative to the orthonormal eigenbasis of A ).
11. Since the eigenstates of the observable \ hat { O } form a complete basis called eigenbasis, the state vector | \ psi \ rang can be written in terms of the eigenstates as
12. Conversely, diagonalizable operators are easily seen to be semi-simple, as invariant subspaces are direct sums of eigenspaces, and any basis for this space can be extended to an eigenbasis.
13. In the discrete case, for example, instead of finding a complete eigenbasis, it is a bit more convenient to write the Hilbert space as a projection of the original state vector into the appropriate eigenspace.
14. An observable ( i . e . measurable parameter of the system ) is associated with each eigenbasis, with each quantum alternative having a specific value or eigenvalue, " e " i, of the observable.
15. If in the entangled state given above Alice makes a measurement in the \ scriptstyle \ { | 0 \ rangle, | 1 \ rangle \ } eigenbasis of, there are two possible outcomes, occurring with equal probability:
16. Two Hermitian operators commute if ( and only if ) there is at least one basis of vectors such that each of which is an eigenvector of both operators ( this is sometimes called a "'simultaneous eigenbasis "').
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