Question: What is required to understand the study of subatomic particles?
About the article "Subatomic particle", section "Dividing an atom".

Candidate passages:
In the physical sciences, subatomic particles are particles smaller than atoms.
(although some subatomic particles have mass greater than some atoms).
There are two types of subatomic particles: elementary particles, which according to current theories are not made of other particles; and "composite" particles.
Particle physics and nuclear physics study these particles and how they interact.
In particle physics, the concept of a particle is one of several concepts inherited from classical physics.
But it also reflects the modern understanding that at the quantum scale matter and energy behave very differently from what much of everyday experience would lead us to expect.
The idea of a particle underwent serious rethinking in light of experiments that showed that light could behave like a stream of particles (called photons) as well as exhibit wave-like properties.
This led to the new concept of wave–particle duality to reflect that quantum-scale "particles" behave like both particles and waves.
Another new concept, the uncertainty principle, states that such their properties as position and momentum cannot be measured exactly.
In more recent times, wave–particle duality has been shown to apply not only to photons but to increasingly massive particles.
Interactions of particles in the framework of quantum field theory are understood as creation and annihilation of "quanta" of corresponding fundamental interactions.
This blends particle physics with field theory. 
The negatively-charged electron has a mass equal to of that of a hydrogen atom.
The remainder of the hydrogen atom's mass comes from the positively charged proton.
The atomic number of an element is the number of protons in its nucleus.
Neutrons are neutral particles having a mass slightly greater than that of the proton.
Different isotopes of the same element contain the same number of protons but differing numbers of neutrons.
The mass number of an isotope is the total number of nucleons (neutrons and protons collectively).
Chemistry concerns itself with how electron sharing binds atoms into structures such as crystals and molecules.
Nuclear physics deals with how protons and neutrons arrange themselves in nuclei.
The study of subatomic particles, atoms and molecules, and their structure and interactions, requires quantum mechanics.
Analyzing processes that change the numbers and types of particles requires quantum field theory.
The study of subatomic particles "per se" is called particle physics.
The term "high-energy physics" is nearly synonymous to "particle physics" since creation of particles requires high energies: it occurs only as a result of cosmic rays, or in particle accelerators.
Particle phenomenology systematizes the knowledge about subatomic particles obtained from these experiments.
 Quantum mechanics - the study of how atoms, molecules, subatomic particles, etc.
behave and are structured quarks - elementary particle and a fundamental constituent of matter  
Particle radiation is the radiation of energy by means of fast-moving subatomic particles.
Particle radiation is referred to as a particle beam if the particles are all moving in the same direction, similar to a light beam.
Due to the wave-particle duality, all moving particles also have wave character.
Higher energy particles more easily exhibit particle characteristics, while lower energy particles more easily exhibit wave characteristics. 
Universal evolution is a theory of evolution formulated by Pierre Teilhard de Chardin and Julian Huxley that describes the gradual development of the Universe from subatomic particles to human society, considered by Teilhard as the last stage.