# A Novel View on Successive Quantizations, Leading to Increasingly More "Miraculous" States

## TL;DR

This paper explores a series of successive quantizations starting from particles to wave functionals, revealing new physical states and equations akin to harmonic oscillators, thus offering a novel perspective on quantum state configurations.

## Contribution

It introduces a new framework of successive quantizations that leads to more complex quantum states and equations resembling harmonic oscillators, expanding the understanding of quantum state structures.

## Key findings

- Quantization of wave functionals produces new physical states.
- Each quantization level yields equations similar to harmonic oscillators.
- Wave function(al) is constructed from conjugate variable pairs.

## Abstract

A series of successive quantizations is considered, starting with the quantization of a non relativistic or relativistic point particle: 1) quantization of a particle's position, 2) quantization of wave function, 3) quantization of wave functional. The latter step implies that the wave packet profiles forming the states of quantum field theory are themselves quantized, which gives new physical states that are configurations of configurations. In the procedure of quantization, instead of the Schr\"odinger first order equation in time derivative for complex wave function (or functional), the equivalent second order equation for its real part was used. In such a way, at each level of quantization, the equation a quantum state satisfies is just like that of a harmonic oscillator, and wave function(al) is composed in terms of the pair of its canonically conjugated variables.