On the Moyal quantized BKP type hierarchies

TL;DR

This paper explores the quantization of BKP type hierarchies using the Moyal bracket and pseudo-differential operators, introducing a variant of the dressing operator for these quantized systems.

Contribution

It presents a novel approach to quantize BKP hierarchies via the Moyal bracket and constructs a new form of the dressing operator for these systems.

Findings

Quantization achieved through Moyal bracket and pseudo-differential operators.

Construction of a variant dressing operator for quantized BKP systems.

Provides a framework for further analysis of quantum BKP hierarchies.

Abstract

Quantization of BKP type equations are done through the Moyal bracket and the formalism of pseudo-differential operators. It is shown that a variant of the dressing operator can also be constructed for such quantized systems.