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Quantum Engineering Year 1: Quantum Mechanics Core Month 18Day 481

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Year 1·Month 18·Week 1

Day 481: Slater Determinants

Day 481 of 2,016~9 min read

Learning Objectives

•Construct Slater determinants for N fermions
•Verify antisymmetry under particle exchange
•Apply Slater determinants to atomic systems
•Calculate matrix elements between Slater determinants
•Understand the connection to Hartree-Fock theory
•Recognize limitations of single-determinant descriptions

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The Two-Particle Case The Slater Determinant Spin-Orbitals Properties of Slater Determinants Shorthand Notation Example Helium Ground State Spatial Part Including Spin Slater Determinant Matrix Elements One-Body Operators Two-Body Operators Slater-Condon Rules Quantum Computing Connection VQE Anstze Fermionic Encodings Configuration Interaction

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