Algebra of Operators in Quantum Mechanics | Properties | Addition subtraction and Multiplication

Quantum Chemistry Lecture 1: What is Quantum Mechanics? Why classical mechanics failed? Applications of Quantum Mechanics    • What is Quantum Mechanics? Why classical m...   Quantum Chemistry Lecture 2: Difference between Quantum Mechanics and Classical Mechanics    • Difference Between Classical Mechanics and...   Quantum Chemistry Lecture 3: Heisenberg Uncertainty Principle    • What is Heisenberg Uncertainty Principle? ...   Quantum Chemistry Lecture 4: De Broglie Hypothesis | Wave and Particle nature of matter    • Dual Nature of radiation and matter | Wave...   Quantum Chemistry Lecture 5: Applications and Significance of Schrodinger Wave Equation    • Applications and Significance of Schroding...   Quantum Chemistry Lecture 6: What is wave Function? What does it tell us? Born interpretation of wave Function | Probability of finding a particle    • Born Interpretation of Wave Function | Wha...   Quantum Chemistry Lecture 7: Eigen Functions and Eigen values along with Examples    • Eigen Value and Eigen Functions | Eigenval...   Quantum Chemistry Lecture 8: What is Normalization of wave function? Why the wave function should be normalized? Significance of Normalization Numerical Problems on Normalization of wave function    • Normalization Of Wave Function | Numerical...   Quantum Chemistry Lecture 9: Orthogonality of wave function and orthonormal wave function with Numerical Problems    • Orthogonality of wave Function | Orthomorm...   Quantum Chemistry Lecture 10: What are operators in Quantum Mechanics and How to use them?    • What are operators in Quantum Mechanics an...   Quantum Chemistry Lecture 11: Algebra of Operators in Quantum Mechanics | Properties | Addition subtraction and Multiplication    • Algebra of Operators in Quantum Mechanics ...   Quantum Chemistry Lecture 12: Commutative and Non Commutative Operators with solved Problems    • Commutative and non Commutative operators ...   Quantum Chemistry Lecture 13: Rules for writing an operator    • Rules for writing operators in Quantum Mec...   Quantum Chemistry Lecture 14: Hermitian Operator in Quantum Mechanics    • Hermitian Operator in Quantum Mechanics | ...   Quantum Chemistry Lecture 15: Properties of Hermitian Operator    • Properties of Hermitian Operator in Quanti...   Quantum Chemistry Lecture 16: Second Property: Eigen Functions of Hermitian Operator corresponding to different Eigen Values are orthogonal    • Eigen Functions of Hermitian Operator corr...   Quantum Chemistry Lecture 17: Prove that the operator for linear momentum is Hermitian    • Prove that the operator for linear momentu...   Quantum Chemistry Lecture 18: Prove that the kinetic Energy operator is Hermitian Operator    • Prove that the kinetic energy operator is ...   Quantum Chemistry Lecture 19: if two operators are Hermitian then their product is also Hermitian if they commute    • if two operators are Hermitian then their ...   Quantum Chemistry Lecture 20: Postulates of Quantum Mechanics    • Postulates of Quantum Mechanics   Quantum Chemistry Lecture 21: Time independent Schrodinger wave equation    • Easiest Derivation of Time independent Sch...   Quantum Chemistry Lecture 22: Steady state schrodinger wave equation    • Steady State Schrodinger Wave Equation eas...   Quantum Chemistry Lecture 23: Conclusion of particle in one dimensional box:    • Conclusions from particle in 1 dimensional...   Quantum Chemistry Lecture 24: Conclusion of particle in one dimensional box    • Conclusions of particle in a box part 2