# Feinberg-Horodecki Equation with P\"oschl-Teller Potential: Space-like Coherent States

## TL;DR

This paper derives quantized momentum solutions for the Feinberg-Horodecki equation and explores space-like coherent states associated with the P"oschl-Teller potential, extending quantum state analysis to space-like scenarios.

## Contribution

It introduces the quantized momentum solutions and constructs space-like coherent states for the Feinberg-Horodecki equation with P"oschl-Teller potential, a novel extension of quantum state analysis.

## Key findings

- Derived quantized momentum solutions $\\mathcal{P}_{n}$.
- Constructed space-like coherent states.
- Extended quantum analysis to space-like equations.

## Abstract

We obtain the quantized momentum solutions, $\mathcal{P}_{n}$, of the Feinberg-Horodecki equation. We study the space-like coherent states for the space-like counterpart of the Schr\"odinger equation with trigonometric P\"oschl-Teller potential which is constructed by temporal counterpart of the spatial P\"oschl-Teller potential.