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complex matrices partitions help

complex matrices partitions help# Computation - 科学计算

x*r2005-10-14 07:10

1 楼

I would like to get some application examples of complex matrices partitions.
An example of complex matrices partitions is as follows.
A C*C matrix is subdivided inito submatrices of size A and these submatrices
are further subdivided until the subdivision stops after several steps.
Is it possible for you to give me some real application examples of these
complex matrices partitions?
The application examples can come from either other branches of mathematics or
science/engineering.
Thanks for yo

n*s2005-10-14 07:10

2 楼

r u talking about irreducible representation?

.
or

【在 x******r 的大作中提到】

: I would like to get some application examples of complex matrices partitions.
: An example of complex matrices partitions is as follows.
: A C*C matrix is subdivided inito submatrices of size A and these submatrices
: are further subdivided until the subdivision stops after several steps.
: Is it possible for you to give me some real application examples of these
: complex matrices partitions?
: The application examples can come from either other branches of mathematics or
: science/engineering.
: Thanks for yo

x*r2005-10-14 07:10

3 楼

I am not sure about how irreducible representation is related to my topic.
Is it convenient for you to give me more hints?
BTW, I have never learnt lie group before.
Thanks.

【在 n*s 的大作中提到】

: r u talking about irreducible representation?
:
: .
: or

n*s2005-10-14 07:10

4 楼

first of all, it's not sth. can be explain all in a sudden
an example is about multiple electron spins, or taking the obital and spin
angular momentum together for 1 electron
in that case, a rotation can be written into tensor product form
D(total) = D(obital) \otimes D(spin)
or
D(2 electron) = D(1st) \otimes D(2nd)
in general, all matrix entries of D are not 0, which is not good for realistic
calculation. it is then found if we go to the irriducible representation, D
can be written into block-d

【在 x******r 的大作中提到】

: I am not sure about how irreducible representation is related to my topic.
: Is it convenient for you to give me more hints?
: BTW, I have never learnt lie group before.
: Thanks.

x*r2005-10-14 07:10

5 楼

Ok.
Thank you very much.

realistic

【在 n*s 的大作中提到】

: first of all, it's not sth. can be explain all in a sudden
: an example is about multiple electron spins, or taking the obital and spin
: angular momentum together for 1 electron
: in that case, a rotation can be written into tensor product form
: D(total) = D(obital) \otimes D(spin)
: or
: D(2 electron) = D(1st) \otimes D(2nd)
: in general, all matrix entries of D are not 0, which is not good for realistic
: calculation. it is then found if we go to the irriducible representation, D
: can be written into block-d

x*r2005-10-14 07:10

6 楼

Hello!
Thanks for your response.
Is it convenient for you to recommend some good papers or books on this topic
so that I can try your suggested methods?

realistic

【在 n*s 的大作中提到】

n*s2005-10-14 07:10

7 楼

i am not sure what u want to know
as for how to decomposite a rotation matrix into block diagnalized form, u can
find it in any advanced quantum mechanics books, such as Sakurai's Modern
Quantum Mechanics

topic

【在 x******r 的大作中提到】

: Hello!
: Thanks for your response.
: Is it convenient for you to recommend some good papers or books on this topic
: so that I can try your suggested methods?
:
: realistic

x*r2005-10-14 07:10

8 楼

Thank you very much.

can

【在 n*s 的大作中提到】

: i am not sure what u want to know
: as for how to decomposite a rotation matrix into block diagnalized form, u can
: find it in any advanced quantum mechanics books, such as Sakurai's Modern
: Quantum Mechanics
:
: topic