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Second quantization or canonical quantization in quantum field theory and many-body systems is the collective organizing and accounting of an infinity of quantum excitations and their interactions through quantum field operators.

1 vote
1 answer
120 views

Some help on second-quantization formalism?

I'm reading Schwabl's Advanced Quantum Mechanics and I'm having issues with understanding this line: $$\langle\psi|a_i^\dagger a_j^\dagger a_ma_k|\psi\rangle=\langle\psi|(\delta_{im}\delta_{jk}a_m^\da …
Saoirse's user avatar
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1 vote
1 answer
126 views

Two-particle states of bosons

I'm reading Advanced Quantum Mehcanics of Schwabl and I'm having a hard time trying to reproduce this calculation (page 57). Consider the following general two-particle state: $$\displaystyle{|2\rangl …
Saoirse's user avatar
  • 186
2 votes
1 answer
158 views

What is the difference between a single-particle potential energy and an interaction?

When we set up Hartree-Fock equations for atoms we work with the following Hamiltonian: $\displaystyle{H=\sum_{i,j}a_i^\dagger \langle i|T|j\rangle a_j+\sum_{i,j} a_i^\dagger \langle i|U|j\rangle a_j …
Saoirse's user avatar
  • 186