Annihilation operators of two different types of Fermions

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The discussion focuses on the calculation of the anti-commutation relation for annihilation operators of two different types of Fermions, specifically A = cd, where c and d are the operators. Participants clarify the definitions of the number operators n1 and n2 in terms of creation and annihilation operators, with n1 = c°c and n2 = d°d. The importance of showing work in calculations is emphasized, with a request for the initial steps in computing the anti-commutation relation {A, A°}. The conversation highlights the need for a clear understanding of the operators involved and their relationships. Overall, the thread serves as a collaborative effort to solve a quantum mechanics problem involving Fermionic operators.
Tanmoy
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Moved from a technical form
IfA=cd, where c and d are
annihilation operators of two different types of Fermions, then {A,A°}is?
A.1+n1+n2
B.1-n1+n2
C.1-n2+n1
D.1-n1-n2
Where,n1 and n2 are corresponding number operator,
A° means A dagger or creation operator,as the particles are fermions they will obey anti-commutation I think
 
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Welcome to PF. We ask posters to show some work first.
What have you tried?
By the way, what is n1 and h2 in terms of creation/annihilation operators?
 
nrqed said:
Welcome to PF. We ask posters to show some work first.
What have you tried?
By the way, what is n1 and h2 in terms of creation/annihilation operators?
n1=c°c
n2=d°d
° means dagger
 

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Tanmoy said:
n1=c°c
n2=d°d
° means dagger
Ok, good. Now can you show the first few steps in the calculation of ##\{ A, A^\dagger \} ##?
(the very first step is to write what ##A^\dagger## is equal to).
 

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