MathWU悟数
PhD in Mathematics, and having a strong interest in science, literature and music, and solid knowledge in theoretical physics.
Complex Analysis - Markushevich's book1 Prob 2.11: For z with |z| = 1, z = (1 + it)/(1 - it), t real
Complex Analysis - Markushevich's book1 Prob 2.9: |z -1| is not greater than ||z| - 1| + |z| |arg z|
Complex Analysis - Markushevich's book1 Prob 2.7, 2.8: Geometric Representation of Complex Numbers
Classical Mechanics - Taylor. Prob 2.46: Math Tool - Complex Exponentials
Classical Mechanics - Taylor. Prob 2.18: Math Tool - Taylor Series
Classical Mechanics -Taylor. Prob 1.17, 1.18, 1.19, 1.24, 1.25: Math Tools - Vector (Cross) Product
Linear Algebra - Matrix of a Linear Transformation
Linear Algebra - Linear Transformations, 1) Dependent set to dependent set, 2) Composition is linear
Linear Algebra - Linear Transformations: Matrix Transformations
Quantum Mechanics - Expected Value of Momentum in an Energy Eigenstate
Classical Mechanics - Taylor. Prob 1.6, 1.8, 1.9, 1.11: Space and Time, Math tools - dot product
Quantum Mechanics - An Inequality for Positive Definite Hermitian Operator
Introduction to Quantum Mechanics (2E) - Griffiths. Prob 4.57: Orbital Angular Momentum
Introduction to Quantum Mechanics (2E) - Griffiths. Prob 4.31: Spin matrices for particle of spin 1
Introduction to Quantum Mechanics (2E) - Griffiths. Prob 4.27: Uncertainty principles in spin state
Introduction to Quantum Mechanics (2E) - Griffiths. Prob 4.26: Spin Matrices, Pauli Spin Matrices
Introduction to Quantum Mechanics (2E) - Griffiths. Prob 4.20: Conservation of Angular Momentum
Introduction to Quantum Mechanics (2E) - Griffiths. Prob 4.19: Commutations in Angular Momentum
Introduction to Quantum Mechanics (2E) - Griffiths. Prob 4.18: Raising/Lowering Operators l_{+/-}
Quantum Mechanics - Possible measurements of angular momentum lw and their probabilities
Quantum Mechanics - Particle in state Y_lm, find average((Delta lx)^2),and average((Delta ly)^2)
Introduction to Quantum Mechanics (2E) - Griffiths. Prob 4.6: Orthonormality of Legendre Polynomials
Introduction to Quantum Mechanics (2E) - Griffiths. Prob 4.3: Spherical Harmonics: Y_00, Y_21
Introduction to Quantum Mechanics (2E) - Griffiths. Prob 4.1: Canonical Commutation Relations
Linear Algebra - Using row operators to evaluate a determinant
Linear Algebra - Cramer's Rule; An Inverse Formula: Inv(A) = (adj(A))/det(A)
Linear Algebra - Vandermonde Determinant; Rank, Inverse of a Matrix
Linear Algebra - Properties of Determinants
Introduction to Quantum Mechanics (2E) - Griffiths. Prob 3.31: Virial Theorem