ABSTRACT
Consider a non-relativistic particle with mass m moving in one dimension in a potential https://www.w3.org/1998/Math/MathML"> V ( x ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003320562/573084c4-5e38-4573-b4ce-5412e9a1c018/content/math1_1.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> . The simplest Hamiltonian and the corresponding equations of motion (eom) are then, p denoting the momentum of the particle, https://www.w3.org/1998/Math/MathML"> H ( x , p ) = p 2 2 m + V ( x ) x ˙ = ∂ H ∂ p , p ˙ = − ∂ H ∂ x . https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003320562/573084c4-5e38-4573-b4ce-5412e9a1c018/content/math1_2.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/>
