Dissipative quadratic lattice solitons

The two-dimensional quadratic lattice magnet, bis(glycolato)cobalt(ii) ([Co(HOCH2CO2)2]), showed antiferromagnetic ordering at 15.2 K and an abrupt increase in magnetisation at H = 22 600 Oe and 2 K, thereby acting as a metamagnet.

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Recurrence equations and their classical orthogonal polynomial solutions on a quadratic or a q-quadratic lattice

The Journal of Difference Equations and Applications ◽

10.1080/10236198.2019.1627346 ◽

2019 ◽

Vol 25 (7) ◽

pp. 969-993 ◽

Cited By ~ 4

Author(s):

Daniel Duviol Tcheutia

Keyword(s):

Orthogonal Polynomial ◽

Classical Orthogonal Polynomial ◽

Polynomial Solutions ◽

Recurrence Equations ◽

Quadratic Lattice

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The concept of linear relaxation: basic considerations for the simple quadratic lattice

Surface Science Letters ◽

10.1016/0167-2584(93)90826-5 ◽

1993 ◽

Vol 280 (3) ◽

pp. A147

Author(s):

Ingomar Jäger

Keyword(s):

Linear Relaxation ◽

Quadratic Lattice

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Class numbers of quadratic forms over real quadratic fields

Nagoya Mathematical Journal ◽

10.1017/s0027763000017736 ◽

1977 ◽

Vol 66 ◽

pp. 89-98 ◽

Cited By ~ 5

Author(s):

Yoshiyuki Kitaoka

Keyword(s):

Bilinear Form ◽

Quadratic Forms ◽

Algebraic Number Field ◽

Class Numbers ◽

Finite Degree ◽

Real Quadratic Fields ◽

Maximal Orders ◽

Conjugate Operation ◽

Real Quadratic ◽

Quadratic Lattice

Let k be an algebraic number field, let K be a Galois extension of k of finite degree, and let OK, Ok be the maximal orders of K, k, respectively. We consider the conjugate operation: for a given quadratic lattice M over OK equipped with a bilinear form B and for an automorphism σ ∈ G(K/k), we define a new quadratic lattice Mσ over OK. Here Mσ has the same underlying abelian group as M, but a new OK-action ; the new bilinear form Bσ on Mσ is defined by

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