Akhmedov E. - Introduction to Quantum Mechanics - 2. Quantum Mechanics and Hilbert Space

Quantum Mechanics and Hilbert Space Akhmedov Emil (Ахмедов Эмиль Тофикович) 00:16 The Schrödinger Equation in Potential 06:42 Probability Current and the Continuity Equation 15:50 Time-Dependent Equation. Time-Independent Equation 31:25 Solution of the Schrödinger Equation: Physical Meaning 40:08 Solution Decomposition for the Schrödinger Equation in Hilbert Space 47:48 Basis of Kets in Hilbert Space. Fourier Transform 01:03:34 Free Particle 01:10:58 Normalization and Completeness Conditions Teach-in: https://teach-in.ru/course/quantum-mechanics-akhmedov YouTube: https://www.youtube.com/playlist?list=PLAKFPr_SXwyM VK: https://vkvideo.ru/playlist/-176441665_908 RuTube: https://rutube.ru/plst/1788881 #akhmedov #quantummechanics #schrodinger_equation #timedependent_schrodinger #timeindependent_schrodinger #probability_current #continuity_equation #wave_function #hilbert_space #kets #basis_kets #fourier_transform #free_particle #normalization #completeness #quantum_physics #theoretical_physics #mathematical_physics #physics #science #msu #ahmedov #emil_ahmedov #teach_in #teachin #physicslectures #quantumtheory #wavefunction #quantumstates #probability_density #observables #operators #eigenvalues #superposition #linear_algebra #functional_analysis #differential_equations #partial_differential_equations #separation_of_variables #stationary_states #quantum_evolution #unitary_evolution #scienceeducation #advancedphysics