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Do atoms or particles burn and change form?

Radioactivity. Stars. Fission and fusion warheads, nuclear reactors, particle accelerators, heavy ion accelerators, cosmic ray showers. 50 kilotonnes of water in Super-Kamiokande; 378,000 liters of cleaning fluid buried a mile underground in the Homestake Gold Mine in Lead, South Dakota.

Put a Geiger counter tube hard by a bottle of potassium chloride salt substitute. That's where the argon in our atmosphere originated. Lots of argon.

Do the atoms and particles on the sun burn?

No they do not.

Burning implies what we call an oxidation reaction. One mixes to chemicals ... say oxygen and hydrogen and the reducing agent, in this case hydrogen, combines chemically with the oxygen to produce another chemical ... water.

Chemical explosives can burn, deflagrate or detonate: All three of which are different. I would suggest you read the definitions at Wikipedia as they are adequate:
http://en.wikipedia.org/wiki/Deflagration

In the case of fission and fusion reactions: Fission as occurs in nuclear reactors and fusion as occurs in the sun ... we are again talking about an entirely different process. And again I would refer you to Wikipedia for a decent description.

HTH