ABSTRACT

We begin by first showing how, with the Feynman functional integration in the representation of the matrix density, we can make a transition to classical distribution. The Feynman density matrix as seen earlier has the form in 16.77: ρ q q ′ = ∫ q ′ q exp S ¯ q , q ′ , − i ℏ β D q τ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003145554/e05d5bc2-9f6b-44fc-95c4-8a9db92e5483/content/eqn16_1.jpg"/> where S ¯ = S ¯ q τ , − i ℏ β ≡ ∫ 0 β − m 2 ℏ 2 q . 2 − U q d τ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003145554/e05d5bc2-9f6b-44fc-95c4-8a9db92e5483/content/eqn16_2.jpg"/>