Question

Show that $\langle {\bf{x}^{\prime}} |\hat P^{\dagger}\hat P|{\bf{x}}\rangle=\langle\hat P{\bf{x}^{\prime}}|\hat P{\bf{x}}\rangle$ using matrices

score 151 · Answer 1 · 2026-04-16 10:23:45

151

Views

Show that $\langle {\bf{x}^{\prime}} |\hat P^{\dagger}\hat P|{\bf{x}}\rangle=\langle\hat P{\bf{x}^{\prime}}|\hat P{\bf{x}}\rangle$ using matrices

Published on 16 Apr 2026 - 10:23

score 77 · Answer 2 · 2026-04-12 14:18:13

77

Views

Existence of a conjugate linear map

Published on 12 Apr 2026 - 14:18

score 52 · Answer 3 · 2026-04-10 10:05:41

52

Views

Are topologically equivalent hilbertian norms necessarily conjugate?

Published on 10 Apr 2026 - 10:05

score 90 · Answer 4 · 2026-04-14 14:12:29

90

Views

Notation of the inner/dot product of many vectors

Published on 14 Apr 2026 - 14:12

score 102 · Answer 5 · 2026-04-16 07:14:58

102

Views

On a real vector space, can all inner product be expressed by the sum of other inner product?

Published on 16 Apr 2026 - 7:14

score 192 · Answer 6 · 2026-04-12 06:23:45

192

Views

Convergence in $R^n$

Published on 12 Apr 2026 - 6:23

score 266 · Answer 7 · 2026-04-12 11:08:36

266

Views

Geometric inequality in regular pentagon

Published on 12 Apr 2026 - 11:08

score 80 · Answer 8 · 2026-04-17 03:14:04

80

Views

Why is a+b+c = a-a+c?

Published on 17 Apr 2026 - 3:14

score 98 · Answer 9 · 2026-04-16 11:21:54

98

Views

Define a linear map $T:V \to V$ by $T(v)=\left(v,u_{1}\right)u_{2}$. Here $v,u_{1},u_{2}\in V$. Write down a formula for the adjoint map $T^{*}$.

Published on 16 Apr 2026 - 11:21

score 112 · Answer 10 · 2026-04-09 16:12:57

112

Views

Finding a specific dot product from a cross product

Published on 09 Apr 2026 - 16:12

score 182 · Answer 11 · 2026-04-13 16:02:41

182

Views

Prove the following matrix commute with every matrix

Published on 13 Apr 2026 - 16:02

score 156 · Answer 12 · 2026-04-14 22:41:23

156

Views

Proof if characteristic polynomial of T splits, then the adjoint T* has at least one eigenvector

Published on 14 Apr 2026 - 22:41

score 51 · Answer 13 · 2026-04-16 03:46:40

51

Views

Finite inner product space containing maximal orthonormal subset

Published on 16 Apr 2026 - 3:46

score 39 · Answer 14 · 2026-04-11 12:26:33

39

Views

How to express the following sum term into vector product?

Published on 11 Apr 2026 - 12:26

score 56 · Answer 15 · 2026-04-11 12:42:47

56

Views

Are "standard" and "Hermitian" quadratic forms sub-cases of the same object?

Published on 11 Apr 2026 - 12:42

List Question

Show that $\langle {\bf{x}^{\prime}} |\hat P^{\dagger}\hat P|{\bf{x}}\rangle=\langle\hat P{\bf{x}^{\prime}}|\hat P{\bf{x}}\rangle$ using matrices

Existence of a conjugate linear map

Are topologically equivalent hilbertian norms necessarily conjugate?

Notation of the inner/dot product of many vectors

On a real vector space, can all inner product be expressed by the sum of other inner product?

Convergence in $R^n$

Geometric inequality in regular pentagon

Why is a+b+c = a-a+c?

Define a linear map $T:V \to V$ by $T(v)=\left(v,u_{1}\right)u_{2}$. Here $v,u_{1},u_{2}\in V$. Write down a formula for the adjoint map $T^{*}$.

Finding a specific dot product from a cross product

Prove the following matrix commute with every matrix

Proof if characteristic polynomial of T splits, then the adjoint T* has at least one eigenvector

Finite inner product space containing maximal orthonormal subset

How to express the following sum term into vector product?

Are "standard" and "Hermitian" quadratic forms sub-cases of the same object?

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