Question

Some questions on coherent states and corresponding Hilbert spaces. Mathematical formalism.

score 103 · Answer 1 · 2026-03-27 10:46:07

103

Views

Some questions on coherent states and corresponding Hilbert spaces. Mathematical formalism.

Published on 27 Mar 2026 - 10:46

score 246 · Answer 2 · 2026-03-26 12:15:23

246

Views

Computing the Adjoint using the Definition $\langle Tv,w\rangle = \langle v, T^*w\rangle$

Published on 26 Mar 2026 - 12:15

score 64 · Answer 3 · 2026-03-25 22:09:35

64

Views

Principal Minor Theorem for dimension 2

Published on 25 Mar 2026 - 22:09

score 73 · Answer 4 · 2019-02-03 17:25:14

73

Views

Why must $f$ have a negative value?

Published on 03 Feb 2019 - 17:25

score 34 · Answer 5 · 2026-03-25 19:25:06

34

Views

linear algebra - orthogonal projection

Published on 25 Mar 2026 - 19:25

score 95 · Answer 6 · 2026-03-25 14:27:00

95

Views

Does the concept of "adjoint map" determine the metric up to scaling?

Published on 25 Mar 2026 - 14:27

score 234 · Answer 7 · 2026-03-26 04:30:42

234

Views

$\| M - A \|_F^2 \geq \sum_{h = l+1}^k \lambda_h$

Published on 26 Mar 2026 - 4:30

score 82 · Answer 8 · 2026-03-27 02:03:12

82

Views

Proof $\langle v,w\rangle=0\implies \langle Av,Aw\rangle=0$, given $A\in F^{m\times n}, \operatorname{rank}(A)=n$.

Published on 27 Mar 2026 - 2:03

score 117 · Answer 9 · 2019-02-09 11:32:04

117

Views

Show that the following is an inner product

Published on 09 Feb 2019 - 11:32

score 105 · Answer 10 · 2026-03-29 05:44:07

105

Views

Proving $|\int_{0}^{x}{f(t)\,dt|^2} \le 2x^{1/2}\int_{0}^{x}{t^{1/2}| f(t)|^2\,dt}$ for $f \in L^2[0,\infty)$ and $x \geq 0$

Published on 29 Mar 2026 - 5:44

score 112 · Answer 11 · 2019-02-11 10:44:02

112

Views

An inner product?

Published on 11 Feb 2019 - 10:44

score 74 · Answer 12 · 2026-03-26 01:11:59

74

Views

Orthonormal $\{e_n\}$ is complete in $L^2[a,b]$ iff $\sum_{n=1}^{\infty} \mid \int_{a}^{x} e_n(t) dt \mid^2 = x-a$ for all $x \in [a,b]$.

Published on 26 Mar 2026 - 1:11

score 751 · Answer 13 · 2019-02-12 05:37:34

751

Views

compact subset of infinite-dimensional inner product space has empty interior

Published on 12 Feb 2019 - 5:37

score 127 · Answer 14 · 2019-02-12 15:47:14

127

Views

Clarification on question about Gram Matrix

Published on 12 Feb 2019 - 15:47

score 68 · Answer 15 · 2026-03-29 10:16:44

68

Views

Show {$e^{2\pi i bnx}$} is a basis for $L^2[0,b^{-1}]$

Published on 29 Mar 2026 - 10:16

List Question

Some questions on coherent states and corresponding Hilbert spaces. Mathematical formalism.

Computing the Adjoint using the Definition $\langle Tv,w\rangle = \langle v, T^*w\rangle$

Principal Minor Theorem for dimension 2

Why must $f$ have a negative value?

linear algebra - orthogonal projection

Does the concept of "adjoint map" determine the metric up to scaling?

$\| M - A \|_F^2 \geq \sum_{h = l+1}^k \lambda_h$

Proof $\langle v,w\rangle=0\implies \langle Av,Aw\rangle=0$, given $A\in F^{m\times n}, \operatorname{rank}(A)=n$.

Show that the following is an inner product

Proving $|\int_{0}^{x}{f(t)\,dt|^2} \le 2x^{1/2}\int_{0}^{x}{t^{1/2}| f(t)|^2\,dt}$ for $f \in L^2[0,\infty)$ and $x \geq 0$

An inner product?

Orthonormal $\{e_n\}$ is complete in $L^2[a,b]$ iff $\sum_{n=1}^{\infty} \mid \int_{a}^{x} e_n(t) dt \mid^2 = x-a$ for all $x \in [a,b]$.

compact subset of infinite-dimensional inner product space has empty interior

Clarification on question about Gram Matrix

Show {$e^{2\pi i bnx}$} is a basis for $L^2[0,b^{-1}]$

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