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Sakurai
[ Modern Quantum Mechanics ]
Dynamics
Angular Momentum
Concepts for Angular Momentum
Properties of Angular Momentum
Schrodinger's Equation
Spherical Tensors
- Vector Operators and Commutation Relations
- Vector Operator vs. Spherical Tensor
- m-Selection Rule and Construction of Spherical Tensor
- Projection Theorem in Spherical Tensor
Perturbation
Time-Independent
- Perturbation Analysis using the Hellmann-Feynman Theorem
- Spin-Orbit Interaction in Hydrogen-like Atoms
Time-Dependent
Jeevanjee
[ An Introduction to Tensors and Group Theory for Physicists ]
Vector Spaces
Linear Operators
- The Intuitive Nature of Einstein Notation's Tensor Index Notation Using the Schouten Convention
- Spherical Laplacian & Angular Momentum
Dual Spaces
- Vectors and Dual Vectors
- Dual Basis vs Metric Dual
- About Fourier Transforms
- On the Transpose of Linear Operators
- Considerations on Transpose Matrices
- Dirac Delta Function in L²[a, b] and Dirac Delta Functional in Dual Space
Hermitian Form
- Non-degenerate Hermitian Form
- Hermitian Adjoint of A
Tensors
Transformation
- Considerations on Basis Transformation Matrix A as a (1,1) Tensor
Tensor Product
- Properties of Tensor Products and Tensors
- The Relationship Between Tensor Product Representation of Identity Matrix and Dirac Notation
대칭-반대칭 텐서
Georgi
[ Lie algebras in particle physics ]
Ch.1 Finite Groups
- Schur's Lemma in Representation Theory
- All Group Representation is Equivalent to Unitary Representation
- Orthogonality Relations in Group Representation Theory
- Character Theory in Group Representation
Ch.4 Tensor Operators
- Tensor Operators
Supplementary
QM
- Canonical Commutation Relation in Quantum Mechanics
- Properties of Pauli Matrices
- Pauli Matrices and Rotation
- Translation Operator
- Two-Body Problem Analysis
- Rotations in the Lie Algebra so(3)
- Rotation Matrix in Euclidean Space Using Spin Operator Sz
- Time Evolution Operator
Linear Algebra
- Active and Passive Transformations
- Development from Fourier Series to Fourier Transform
- Continuous Spectra: Normalization and Completeness in Vector Spaces
Calculus and Variation
- Directional Derivative & Functional Derivative
- Functional Derivative
- Taylor Series Expansion
notices
FAQ
How to Update
Troubleshooting
[ Lie algebras in particle physics ]
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- Schur's Lemma in Representation Theory →