MENUJU MEKANIKA KUANTUM DALAM RUANG WASSERSTEIN; TOWARDS QUANTUM MECHANICS ON WASSERSTEIN SPACE

Wahyuningsih, kiki, M. Farchani Rosyid

2015 | Disertasi | FMIPA

The state space of quantum mechanics is extended to Wasserstein space has done. We have to formulated the probability of quantum mechanics classically. The Wasserstein state space contains both pure state and mixed state. The pure state represented by probability measures ?? that are built from the wave functions of a Hilbert space of wave functions. The mixed state is a convex combination of probability measures representing pure states and corresponds to the general density operator ˆ?. Every two Wasserstein spaces are mutually isomorphic. Quantum dynamics in Wasserstein space is described by the continuity equation like in optimal transport. On the other hand, there is a dynamic linking Newton's second law to the Schrödinger equation.

Kata Kunci : quantum mechanics; probability measure; Wasserstein space; density operator; pure state; mixed state