Determination of the domain of the admissible matrix elements in the four-dimensional PT-symmetric anharmonic model [PDF]
, 2007 Many manifestly non-Hermitian Hamiltonians (typically, PT-symmetric complex anharmonic oscillators) possess a strictly real, "physical" bound-state spectrum. This means that they are (quasi-)Hermitian with respect to a suitable non-standard metric.
Ahmed +49 more
core +2 more sources
Classical and quantum dynamics in the (non-Hermitian) Swanson oscillator [PDF]
, 2014 The non-Hermitian quadratic oscillator studied by Swanson is one of the popular $PT$-symmetric model systems. Here a full classical description of its dynamics is derived using recently developed metriplectic flow equations, which combine the classical ...
Graefe, Eva-Maria +3 more
core +3 more sources
Metrik Finsler Pseudo-Konveks Kuat pada Bundel Vektor Holomorfik
Jurnal Matematika, 2017 : Rizza-negativity of holomorphic vector bundle is a sufficient condition for the negativity of . In the present paper, we shall discuss that as a special case, using the Rizza metric which is derived from a Hermitian metric also implies the ...
Haripamyu ,, Jenizon ,, I Made Arnawa
doaj +1 more source
Levi-Civita Ricci-Flat Doubly Warped Product Hermitian Manifolds
Advances in Mathematical Physics, 2022 Let M1,g and M2,h be two Hermitian manifolds. The doubly warped product (abbreviated as DWP) Hermitian manifold of M1,g and M2,h is the product manifold M1×M2 endowed with the warped product Hermitian metric G=f22g+f12h, where f1 and f2 are positive ...
Qihui Ni +3 more
doaj +1 more source
On the most important achievements of V. F. Kirichenko in Theory of differentiable manifolds
Дифференциальная геометрия многообразий фигур, 2023 We mark out the most important results obtained by outstanding Russian geometer Vadim Feodorovich Kirichenko in the theory of almost Hermitian and almost contact metric manifolds.
M. B. Banaru, G. A. Banaru
doaj +1 more source
Pseudo-Hermiticity, PT-symmetry, and the Metric Operator [PDF]
, 2005 The main achievements of Pseudo-Hermitian Quantum Mechanics and its distinction with the indefinite-metric quantum theories are reviewed. The issue of the non-uniqueness of the metric operator and its consequences for defining the observables are ...
A. Mostafazadeh +15 more
core +2 more sources
On the Kähler-likeness on almost Hermitian manifolds
Complex Manifolds, 2019 We define a Kähler-like almost Hermitian metric. We will prove that on a compact Kähler-like almost Hermitian manifold (M2n, J, g), if it admits a positive ∂ ̄∂-closed (n − 2, n − 2)-form, then g is a quasi-Kähler metric.
Kawamura Masaya
doaj +1 more source
On the Geometry of Connections with Totally Skew-Symmetric Torsion on Manifolds with Additional Tensor Structures and Indefinite Metrics [PDF]
, 2010 This paper is a survey of results obtained by the authors on the geometry of connections with totally skew-symmetric torsion on the following manifolds: almost complex manifolds with Norden metric, almost contact manifolds with B-metric and almost ...
Gribachev, Kostadin +2 more
core +1 more source
Special Hermitian metrics on compact solvmanifolds [PDF]
Journal of Geometry and Physics, 2015 We review some constructions and properties of complex manifolds admitting pluriclosed and balanced metrics. We prove that for a 6-dimensional solvmanifold endowed with an invariant complex structure J having holomorphically trivial canonical bundle the pluriclosed flow has a long time solution for every invariant initial datum.
FINO, Anna Maria, VEZZONI, Luigi
openaire +3 more sources
Hyper-Hermitian metrics with symmetry
Journal of Geometry and Physics, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gauduchon, P, Tod, K
openaire +4 more sources