Lagrangian versus Quantization

TL;DR

This paper explores systems that can be quantized successfully despite lacking a Lagrangian formulation, highlighting differences between quantization methods and traditional Lagrangian approaches.

Contribution

It provides examples of quantizable systems without a Lagrangian description, challenging conventional assumptions in quantization theory.

Findings

Identifies systems quantizable without a Lagrangian

Highlights differences between Lagrangian and non-Lagrangian quantization

Provides theoretical insights into alternative quantization methods

Abstract

We discuss examples of systems which can be quantized consistently, although they do not admit a Lagrangian description.