Contact Quantization: Quantum Mechanics = Parallel transport

Supersymmetric Quantum Mechanics from Light Cone Quantization

We study the supersymmetric quantum mechanical systems that arise from discrete light cone quantization of theories with minimal supersymmetry in various dimensions. These systems which have previously arisen in the study of black hole moduli spaces, are distinguished by having fewer fermionic fields than the familiar Kähler and hyper-Kähler models. This is a contribution to the Yuri Golfand me...

Quantum mechanics, gravity and modified quantization relations.

In this paper, we investigate a possible energy scale dependence of the quantization rules and, in particular, from a phenomenological point of view, an energy scale dependence of an effective [Formula: see text] (reduced Planck's constant). We set a bound on the deviation of the value of [Formula: see text] at the muon scale from its usual value using measurements of the anomalous magnetic mom...

Deformation Quantization: From Quantum Mechanics to Quantum Field Theory

The aim of this paper is to give a basic overview of Deformation Quantization (DQ) to physicists. A summary is given here of some of the key developments over the past thirty years in the context of physics, from quantum mechanics to quantum field theory. Also, we discuss some of the conceptual advantages of DQ and how DQ may be related to algebraic quantum field theory. Additionally, our previ...

Adiabatic quantum transport: Quantization and fluctuations.

Quillen’s local index theorem is used to study the charge transport coefficients (adiabatic curvature) associated to the ground state of a Schrödinger operator for a charged (spinless) particle on a closed, multiply connected surface. The formula splits the adiabatic curvature into an explicit integral part and a fluctuating part which has a natural interpretation in terms of quantum chaos. PAC...

The Transport Problem: Currents from Quantum Mechanics