Question

proof of orthogonality of the wavefunctions on the lattice-torus

score 99 · Answer 1 · 2017-06-08 09:20:32

99

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proof of orthogonality of the wavefunctions on the lattice-torus

Published on 08 Jun 2017 - 9:20

score 319 · Answer 2 · 2026-03-27 13:48:33

319

Views

Geometric interpretation of k-th power of first n natural numbers and summation using Pick's theorem

Published on 27 Mar 2026 - 13:48

score 49 · Answer 3 · 2017-06-14 11:59:13

49

Views

Proper definition of strong orthogonality

Published on 14 Jun 2017 - 11:59

score 34 · Answer 4 · 2017-06-17 22:06:43

34

Views

When is $\{(m+ka,n+kb) : m,n,k\in\mathbb Z\}$ dense in $\mathbb R^2$ when $a,b\notin\mathbb Q$?

Published on 17 Jun 2017 - 22:06

score 84 · Answer 5 · 2017-06-19 23:45:08

84

Views

Can a rectangle in the plane contain exactly 51 lattice points?

Published on 19 Jun 2017 - 23:45

score 153 · Answer 6 · 2017-06-21 19:29:47

153

Views

Reference request: Crystals and quasicrystals

Published on 21 Jun 2017 - 19:29

score 179 · Answer 7 · 2026-03-26 04:30:44

179

Views

How do you prove this involving Gaussian integers?

Published on 26 Mar 2026 - 4:30

score 653 · Answer 8 · 2017-07-04 19:07:03

653

Views

Probability that a random pair of points are opposite corners of a square in an $n\times n$ integer lattice

Published on 04 Jul 2017 - 19:07

score 130 · Answer 9 · 2026-03-25 05:59:00

130

Views

Reference request - Lattices for studying number fields

Published on 25 Mar 2026 - 5:59

score 97 · Answer 10 · 2017-07-08 08:19:49

97

Views

How the parabola can pass the most int-points?

Published on 08 Jul 2017 - 8:19

score 33 · Answer 11 · 2017-07-09 21:58:21

33

Views

Proof - Volume of parallelotope is independent of the choices for base

Published on 09 Jul 2017 - 21:58

score 85 · Answer 12 · 2017-07-12 21:09:14

85

Views

Why is a map that is given by a finite collection of translation maps volume preserving? (Part of a proof of Minkowski's theorem)

Published on 12 Jul 2017 - 21:09

score 146 · Answer 13 · 2026-03-25 19:16:09

146

Views

Finding the volume of $\mathcal{O}$

Published on 25 Mar 2026 - 19:16

score 124 · Answer 14 · 2017-07-14 11:26:22

124

Views

Proof of $\mathbb Z[a]$ is not a lattice, where $a\not\in \mathbb Z$

Published on 14 Jul 2017 - 11:26

score 1.7k · Answer 15 · 2026-03-25 19:10:54

1.7k

Views

Difference between the volume/covolume of a lattice

Published on 25 Mar 2026 - 19:10

List Question

proof of orthogonality of the wavefunctions on the lattice-torus

Geometric interpretation of k-th power of first n natural numbers and summation using Pick's theorem

Proper definition of strong orthogonality

When is $\{(m+ka,n+kb) : m,n,k\in\mathbb Z\}$ dense in $\mathbb R^2$ when $a,b\notin\mathbb Q$?

Can a rectangle in the plane contain exactly 51 lattice points?

Reference request: Crystals and quasicrystals

How do you prove this involving Gaussian integers?

Probability that a random pair of points are opposite corners of a square in an $n\times n$ integer lattice

Reference request - Lattices for studying number fields

How the parabola can pass the most int-points?

Proof - Volume of parallelotope is independent of the choices for base

Why is a map that is given by a finite collection of translation maps volume preserving? (Part of a proof of Minkowski's theorem)

Finding the volume of $\mathcal{O}$

Proof of $\mathbb Z[a]$ is not a lattice, where $a\not\in \mathbb Z$

Difference between the volume/covolume of a lattice

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