Arbitrary operator as a sum of Hermitian operators
Clash Royale CLAN TAG#URR8PPP
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Probaly already asked.
Show that an arbitrary operator $A$ can be written as $A=B+iC$, where $B$ and $C$ are Hermitian.
I think the matrix version is the sum of a symmetric and antisymmetry part, but I have no idea how to do it in the general case.
linear-algebra matrices
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up vote
0
down vote
favorite
Probaly already asked.
Show that an arbitrary operator $A$ can be written as $A=B+iC$, where $B$ and $C$ are Hermitian.
I think the matrix version is the sum of a symmetric and antisymmetry part, but I have no idea how to do it in the general case.
linear-algebra matrices
add a comment |Â
up vote
0
down vote
favorite
up vote
0
down vote
favorite
Probaly already asked.
Show that an arbitrary operator $A$ can be written as $A=B+iC$, where $B$ and $C$ are Hermitian.
I think the matrix version is the sum of a symmetric and antisymmetry part, but I have no idea how to do it in the general case.
linear-algebra matrices
Probaly already asked.
Show that an arbitrary operator $A$ can be written as $A=B+iC$, where $B$ and $C$ are Hermitian.
I think the matrix version is the sum of a symmetric and antisymmetry part, but I have no idea how to do it in the general case.
linear-algebra matrices
asked Aug 10 at 20:09
user2820579
678412
678412
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1 Answer
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Hint
$$B=fracA+A^*2;;;;;C=fracA-A^*2i$$
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I want my entrance fee back.
â user2820579
Aug 10 at 20:55
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
1
down vote
accepted
Hint
$$B=fracA+A^*2;;;;;C=fracA-A^*2i$$
1
I want my entrance fee back.
â user2820579
Aug 10 at 20:55
add a comment |Â
up vote
1
down vote
accepted
Hint
$$B=fracA+A^*2;;;;;C=fracA-A^*2i$$
1
I want my entrance fee back.
â user2820579
Aug 10 at 20:55
add a comment |Â
up vote
1
down vote
accepted
up vote
1
down vote
accepted
Hint
$$B=fracA+A^*2;;;;;C=fracA-A^*2i$$
Hint
$$B=fracA+A^*2;;;;;C=fracA-A^*2i$$
answered Aug 10 at 20:12
Davide Morgante
2,245322
2,245322
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I want my entrance fee back.
â user2820579
Aug 10 at 20:55
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1
I want my entrance fee back.
â user2820579
Aug 10 at 20:55
1
1
I want my entrance fee back.
â user2820579
Aug 10 at 20:55
I want my entrance fee back.
â user2820579
Aug 10 at 20:55
add a comment |Â
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