154 citations · 391 across the 63 of their papers we have counts for
63 papers
Geometric Quantum Mechanics in a Symplectic Framework: Metric-Affine Extensions and Deformed Quantum Dynamics
Hoshang Heydari
We present a geometric formulation of quantum mechanics based on the symplectic structure of the projective Hilbert space. Building upon the standard Kähler framework, we introduce…
Geometric uncertainty relation, the symplectic area, and the J-holomorphic maps for mixed quantum states
Hoshang Heydari
In this paper we will establish a relation between geometric uncertainty relation and the determinant of the quantum covariance matrix for mixed quantum states. We will show that d…
Geometric characterization of mixed quantum states
Hoshang Heydari
Characterization of mixed quantum states represented by density operator is one of the most important task in quantum information processing. In this work we will present a geometr…
Two schemes for characterization and detection of the squeezed light: Dynamical Casimir effect and nonlinear materials
H. Lotfipour, Z. Allameh, R. Roknizadeh +1
The detection and characterization of a non-classical-squeezed state of light, by using two different schemes, will be presented . In the first one, in an one-dimensional cavity wi…
Geometry and structure of quantum phase space
Hoshang Heydari
The application of geometry to physics has provided us with new insightful information about many physical theories such as classical mechanics, general relativity, and quantum geo…
Geometric formulation of quantum mechanics
Hoshang Heydari
Quantum mechanics is among the most important and successful mathematical model for describing our physical reality. The traditional formulation of quantum mechanics is linear and…