L10.1 The harmonic oscillator: solution by algebraic method

Buy this complete course on Udemy https://www.udemy.com/course/quantum-mechanics-i/?referralCode=7BCA66A4AA2BE98FC178 #harmonicoscillator #raisingoperators #loweringoperators #quantummechanicslectures #griffithslectures 0:00 - Welcome and Course Update 0:20 - Review of Previous Lecture 1:00 - Classical vs Quantum Harmonic Oscillator 2:00 - Physical Interpretation of the Harmonic Oscillator Potential 4:00 - The Quantum Harmonic Oscillator in Action 5:00 - Algebraic Method for Solving the Harmonic Oscillator 7:00 - Mistake in the First Edition of Griffiths' Book 9:00 - Correcting the Error in the Second Edition 12:00 - Detailed Derivation Using Algebraic Method 14:00 - Final Form of the Operator Relations Lecture Notes: https://drive.google.com/file/d/1RDFvgJOMw72CvKBX-KX-nCUbyvmMg7e8/view?usp=sharing Complete Playlist at: https://www.youtube.com/watch?v=dA40a9Xs3NU&list=PLeWSImvDbpletkUAuNP6DnechsA29wCkN This lecture on Quantum Mechanics revisits the topic of the Harmonic Oscillator, with a detailed analysis of the potential and its role in quantum systems. The lecture also focuses on the correction made in Griffiths' second edition of his textbook, addressing errors in the treatment of momentum and position operators in the first edition. The lecture explores the algebraic solution to the quantum harmonic oscillator problem, emphasizing the importance of correct operator treatment and commutation relations. The session also includes the practical steps to derive quantized energies using the harmonic potential model and how corrections are applied to improve the solution. The harmonic oscillator: solution by algebraic method quantum mechanics, quantum mechanics by griffiths, introduction to quantum mechanics, quantum mechanics lectures, class lectures on quantum mechanics, historical background of quantum mechanics, The harmonic oscillator, ladder operators, raising and lowering operators