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Spectral Theorem Of Unitary Operators
Lesson 24 of 32 • 0 upvotes • 9:33mins
Siddharth Sahu
In this Lecture we talk about three statements of spectral theorem of unitary operators & see a proof and a trivial example.
(Hindi) Quantum Mechanics: GATE (Physics)
32 lessons • 4h 43m
1
Linear Vector Spaces (in Hindi)
8:41mins
2
Dual Vector Spaces (in Hindi)
8:55mins
3
Inner Product and Norm of a Vector (in Hindi)
11:14mins
4
Linearly Independent Vectors (in Hindi)
5:39mins
5
Dimension of a Vector Space and Orthonormal Basis (in Hindi)
10:56mins
6
Gram-Schmidt Orthonormalization (in Hindi)
11:10mins
7
Problem Solution Of Lecture 06
5:26mins
8
Pauli Matrix As Basis
13:18mins
9
Linear Transformation as Matrix
15:00mins
10
Matrix as Linear Transformation : 02
5:40mins
11
Linear Operator
13:00mins
12
The Projection Operator
7:42mins
13
Matrix Elements Of Linear Operator
6:49mins
14
Operator Spaces
6:15mins
15
Adjoint Of An Operator
11:05mins
16
Span of LVS
5:31mins
17
Hermition, Anti-Hermition And Unitary Operators
8:09mins
18
Problem Solutions Lec. 17
3:26mins
19
Active And Passive Transformation
6:52mins
20
Eigen Vector And Eigen Values
10:20mins
21
The Eigen Value Problem
15:00mins
22
EigenValues Of Hermition Matrices
5:10mins
23
Degeneracy
8:11mins
24
Spectral Theorem Of Unitary Operators
9:33mins
25
Change Of Basis
9:00mins
26
Diagonalization Of Matrix & Eigen Basis
10:12mins
27
Diagonalization Of Hermition Matrix
8:40mins
28
The Propagator
14:22mins
29
The Propagator Part 2
4:06mins
30
Functions Of Operators
6:17mins
31
Derivatives Of Operators
8:06mins
32
Concept of Infinite Dimensional Vector Spaces
9:12mins
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