Three-dimensional representation of the many-body quantum state

TL;DR

This paper demonstrates that the quantum state of a many-body system can be represented as a set of three-dimensional states, simplifying the understanding of entanglement through trajectory dependence.

Contribution

It introduces a novel trajectory-based approach to represent many-body quantum states in three-dimensional space, offering a new perspective on entanglement.

Findings

Quantum states can be expressed as 3D states per particle.

Many-body wavefunctions derive from 3D wave sets.

Entanglement corresponds to trajectory-dependent 3D states.

Abstract

Using the trajectory conception of state we give a simple demonstration that the quantum state of a many-body system may be expressed as a set of states in three-dimensional space, one associated with each particle. It follows that the many-body wavefunction may be derived from a set of waves in 3-space. Entanglement is represented in the trajectory picture by the mutual dependence of the 3-states on the trajectory labels.