Squeeze Operators in Classical Scenarios

Functional Forms for the Squeeze and the Time - Displacement Operators

Using Baker-Campbell-Hausdorff relations, the squeeze and harmonicoscillator time-displacement operators are given in the form exp[δI ] exp[α(x)] exp[β(x∂)] exp[γ(∂)], where α, β, γ, and δ are explicitly determined. Applications are discussed. Email: [email protected]

Quantum operators: A classical perspective

We review current research in the field of categorical quantum mechanics. We place the category of relations within the same categorical framework and point out the similarities with the category of Hilbert spaces. Subsequently, we provide a categorical model for investigating the spectral theorem (as provided in [22]), within the context of an internally diagonalisable element and apply these ...

Minimal Classical Logic and Control Operators

Wave Operators for Classical Particle Scattering

We discuss the fundamentals of classical particle scattering of a two body system in forces which are 0 (r~~) at infinity along with their Lipshitz constants. We prove asymptotic completeness for this two-body case. Of particular interest is the fact that in the absence of control on Lipshitz constants at oo, two solutions of the interacting equation may be asymptotic to the same free solution ...

Using Classical Planners for Tasks with Continuous Operators in Robotics

The need for high-level task planning in robotics is well understood. However, interfacing discrete planning with continuous actions often requires extensive engineering of the solution. For instance, picking up an object may require removing many others that obstruct it. Identifying the exact obstructions requires geometric reasoning which is prohibitively expensive to precompute, with results...