List questions from quantum-mechanics

Published on 29 Sep 2023 - 14:39

48

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Show that $\hat{L}^2=\hat{r}^2\hat{p}^2 + i\hslash \hat{r} \cdot \hat{p} - (\hat{r} \cdot \hat{p})^2$ using Einstein Notation

Published on 23 Feb 2026 - 7:20

48

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Applying an operator on both sides of an equation

Published on 01 Oct 2023 - 17:13

81

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$L^\infty$ decay for the Klein–Gordon equation

Published on 26 Mar 2026 - 17:30

115

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Operators and KdV equation

Published on 09 Oct 2023 - 10:33

227

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Compactness of subset of trace-class operators on a Hilbert space

Published on 09 Oct 2023 - 13:51

210

Views

Integration of a composite function containing hermite polynomials.

Published on 25 Mar 2026 - 11:32

25

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Computing Fourier transform of energy $E=-\nabla_xW*f$

Published on 11 Oct 2023 - 10:09

78

Views

Suppose $tr(A(P\otimes Q))\geq0$ for all semi-definite positive matrices P and Q, does it implies that A is semi-definite positive?

Published on 26 Mar 2026 - 4:35

88

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When solving a second order linear homogenous differential equation why does $i$ appear?

Published on 26 Oct 2023 - 10:44

69

Views

How to rearrange $py'' + (2l+2-2p)y' + 2(n-l-1)y = 0$ into $2py'' + (2l+2-2p)y' + (n-l-1)y = 0$?

Published on 23 Feb 2026 - 12:27

55

Views

Integral inequality with bounded frequencies

Published on 31 Oct 2023 - 11:13

42

Views

Analytically solving PDEs on irregular domains in Physics

Published on 25 Mar 2026 - 21:46

76

Views

Discrepancy in Results with Self-Adjoint Operator on a Special Hilbert Space in 2D Geometric Algebra

Published on 10 Nov 2023 - 18:40

79

Views

Computing expectation value of Pauli-$x$ operator for a single qubit, given a Hamiltonian matrix.

Published on 26 Mar 2026 - 12:35

List Question

Trouble understanding Berry's phase derivation

Show that $\hat{L}^2=\hat{r}^2\hat{p}^2 + i\hslash \hat{r} \cdot \hat{p} - (\hat{r} \cdot \hat{p})^2$ using Einstein Notation

Applying an operator on both sides of an equation

$L^\infty$ decay for the Klein–Gordon equation

Operators and KdV equation

Compactness of subset of trace-class operators on a Hilbert space

Integration of a composite function containing hermite polynomials.

Computing Fourier transform of energy $E=-\nabla_xW*f$

Suppose $tr(A(P\otimes Q))\geq0$ for all semi-definite positive matrices P and Q, does it implies that A is semi-definite positive?

When solving a second order linear homogenous differential equation why does $i$ appear?

How to rearrange $py'' + (2l+2-2p)y' + 2(n-l-1)y = 0$ into $2py'' + (2l+2-2p)y' + (n-l-1)y = 0$?

Integral inequality with bounded frequencies

Analytically solving PDEs on irregular domains in Physics

Discrepancy in Results with Self-Adjoint Operator on a Special Hilbert Space in 2D Geometric Algebra

Computing expectation value of Pauli-$x$ operator for a single qubit, given a Hamiltonian matrix.

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