SCHR\"ODINGER GROUP AND QUANTUM FINANCE

Schrodinger Equation and Quantum Chemistry

Quantum Game Theory in Finance

This is a short review of the background and recent development in quantum game theory and its possible application in economics and finance. The intersection of science and society is also discussed. The review is addressed to non–specialists. PACS Classification: 02.50.Le, 03.67.Lx, 05.50.+q, 05.30.–d Mathematics Subject Classification: 81-02, 91-02, 91A40, 81S99

And Schrodinger Operators

In this paper we consider smooth analogues of operators studied in connection with pointwise convergence of the solution of the free Schrr odinger equation to the given initial data. Such operators are interesting examples of oscillatory integral operators with degenerate phase functions, and we obtain sharp L 2 ! L 2 bounds. 0. Introduction. We begin this paper by giving motivation for the obj...

Quantum Group and Quantum Symmetry

This is a self-contained review on the theory of quantum group and its applications to modern physics. A brief introduction is given to the Yang-Baxter equation in integrable quantum field theory and lattice statistical physics. The quantum group is primarily introduced as a systematic method for solving the Yang-Baxter equation. Quantum group theory is presented within the framework of quantum...

1 Quantum Finance : The Finite Dimensional Case ∗

In this paper, we present a non-commutative version of some portions of finance theory, including theory of arbitrage, asset princing, and optional decomposition in financial markets based on finite dimensional quantum probability spaces. The binomial model (or, the CRR-model) is studied in the non-commutative setting, and in particular, we prove that a single-step model in non-commutative sett...