PHY 981 Nuclear Structure: Second Quantization
Contents
Second quantization
Second quantization
Second quantization
Second quantization
Second quantization
Second quantization
Second quantization
Second quantization
Second quantization
Second quantization
Second quantization
Second quantization
Second quantization
Second quantization
Second quantization
Second quantization
Second quantization
Second quantization
Second quantization
Second quantization
Second quantization
Second quantization
Second quantization
Second quantization
Second quantization
Second quantization
Second quantization
Second quantization
Second quantization
Two-body operators in second quantization
Operators in second quantization
Operators in second quantization
Operators in second quantization
Operators in second quantization
Operators in second quantization
Operators in second quantization
Operators in second quantization
Operators in second quantization
Operators in second quantization
Operators in second quantization
Operators in second quantization
Operators in second quantization
Particle-hole formalism
Particle-hole formalism
Particle-hole formalism
Particle-hole formalism
Particle-hole formalism
Particle-hole formalism
Particle-hole formalism
Particle-hole formalism
Particle-hole formalism
Particle-hole formalism
Particle-hole formalism
Summarizing and defining a normal-ordered Hamiltonian
Summarizing and defining a normal-ordered Hamiltonian
Summarizing and defining a normal-ordered Hamiltonian
Summarizing and defining a normal-ordered Hamiltonian
Hartree-Fock in second quantization and stability of HF solution
Hartree-Fock in second quantization and Thouless' theorem
Thouless' theorem
Thouless' theorem
New operators
Showing that \( |\tilde{c}\rangle= |c'\rangle \)
Wrapping it up
Thouless' theorem
Hartree-Fock in second quantization and stability of HF solution
Hartree-Fock in second quantization and stability of HF solution
Hartree-Fock in second quantization and stability of HF solution
Hartree-Fock in second quantization and stability of HF solution
Hartree-Fock in second quantization and stability of HF solution
Hartree-Fock in second quantization and stability of HF solution
Hartree-Fock in second quantization and stability of HF solution
Hartree-Fock in second quantization and stability of HF solution
Operators in second quantization
Operators in second quantization
Operators in second quantization
Operators in second quantization
Operators in second quantization
Operators in second quantization
Operators in second quantization
Operators in second quantization
Operators in second quantization
Exercises
Exercises
Exercises
Exercises
Exercises
Exercises
Exercises: Using sympy to compute matrix elements
Exercises: Using sympy to compute matrix elements
Exercises: Using sympy to compute matrix elements
Exercises: Using sympy to compute matrix elements
Exercises: Using sympy to compute matrix elements
Exercises: Using sympy to compute matrix elements
Exercises: Using sympy to compute matrix elements
Exercises: Derivation of Hartree-Fock equations
Exercises: Derivation of Hartree-Fock equations
Exercises: Using sympy to compute matrix elements
Compute the matrix element $$ \langle\alpha_{1}\alpha_{2}\alpha_{3}|\hat{G}|\alpha_{1}'\alpha_{2}'\alpha_{3}'\rangle, $$ using Wick's theorem and express the two-body operator \( G \) in the occupation number (second quantization) representation.
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