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15
Math.TechQA.Club
2023-04-13 01:05:16
85
Views
Why do square integrable functions have to be isolated at infinity?
Published on
13 Apr 2023 - 1:05
#measure-theory
#vector-spaces
#hilbert-spaces
#mathematical-physics
#quantum-mechanics
67
Views
Numerical method to calculate principal value integral in the Lippmann-Schwinger equation
Published on
12 Apr 2023 - 5:20
#quantum-mechanics
#integration
69
Views
Integral $\int_0^{2\pi} \sqrt{A^2-\frac{B^2}{\sin^2x}} dx$
Published on
17 Apr 2023 - 1:49
#calculus
#integration
#quantum-mechanics
39
Views
Deducing the Fermi sea is ground state for the kinetic energy operator $\sum_j(-\Delta_{x_j})$
Published on
18 Apr 2023 - 10:30
#functional-analysis
#analysis
#partial-differential-equations
#physics
#quantum-mechanics
78
Views
Quantum relative entropy and convexity of some function
Published on
26 Mar 2026 - 7:58
#convex-analysis
#information-theory
#quantum-mechanics
#entropy
#quantum-information
226
Views
Is there any relationship between Gleason's theorem and Riesz representation theorem?
Published on
25 Mar 2026 - 23:44
#functional-analysis
#intuition
#quantum-mechanics
#riesz-representation-theorem
#quantum-information
59
Views
Scalar product of two Slater determinants
Published on
20 Apr 2023 - 8:36
#real-analysis
#quantum-mechanics
62
Views
What are the solutions to $\frac{d^2}{dx^2}\Psi + \frac{1}{x^2}\Psi - \frac{1}{x}\Psi = E\Psi$?
Published on
23 Apr 2023 - 0:56
#ordinary-differential-equations
#polynomials
#quantum-mechanics
132
Views
How to integrate $\int \frac{e^{-x}e^{-y}}{\lvert \vec x - \vec y \rvert} dx dy$ for the helium atom?
Published on
27 Mar 2026 - 4:58
#integration
#quantum-mechanics
#perturbation-theory
23
Views
The operator $\Pi^-_\mu=\mathbb{1}(-\Delta\leq\mu)$ formally minimises $\gamma\mapsto\text{Tr}((-\Delta-\mu)\gamma)$
Published on
24 Apr 2023 - 13:50
#functional-analysis
#analysis
#partial-differential-equations
#operator-theory
#quantum-mechanics
90
Views
If $\int \bar \Psi \frac{1}{ r_1 - r_2} \Psi d\tau= \frac{20\pi k}{a^5}$, what is $\int \bar \Psi \left( \frac{1}{r_1 - r_2} -E_1 \right) \Psi d\tau$?
Published on
27 Mar 2026 - 4:58
#integration
#quantum-mechanics
#perturbation-theory
100
Views
How does $ (\hat H_1 + \hat H_2)(\Psi_1 + \Psi_2) =\hat H_1 \Psi_1 + \hat H_2 \Psi_1 + \hat H_1 \Psi_2 + \hat H_2 \Psi_2 $?
Published on
26 Apr 2023 - 10:04
#operator-algebras
#quantum-mechanics
79
Views
An $\ell^qL^p$ inequality: $\|\nabla\langle\nabla\rangle^{-2}\varphi\|_{\ell^2L^4}\leq \|{\varphi}\|_{L^2}$.
Published on
27 Apr 2023 - 16:50
#linear-algebra
#functional-analysis
#analysis
#partial-differential-equations
#quantum-mechanics
82
Views
How is this equivalence for flipping an equation of ket-vectors to an equation of bra-vectors, true? (Complex conjugate "distributes" across product?)
Published on
04 May 2023 - 4:26
#linear-algebra
#quantum-mechanics
20
Views
Bell's quantum nonlocality and finite elements
Published on
27 Mar 2026 - 2:50
#numerical-methods
#quantum-mechanics
#finite-element-method
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