Answer #1: When you can't use lots of physical force to
separate two "stuck" things, heat is often the best way to do
it. The principle here is that when you heat
something, it expands a little. When you cool something, it shrinks.
You need a temperature difference (what scientists
call a "delta-t") between the outside (neck) of the
decanter and the stopper. This causes increases the
space between the two parts, hopefully enough to
separate them. For example, you could tie a piece of
cloth on the outside, soaked in hot water. You could
even try ice on the stopper at the same time.
Another application of this idea is to apply a torch
to a nut that won't come loose from a dirty or rusty
bolt. The nut heats up faster. This helps to break the
"glue" binding them together. -- (Tony Midibeast ) Comment
Answer #2: The differential temperature thing does work but a problem with decanters is that sometimes some or all of the problem is the dried sugar from the contents. Leaving underwater for a couple of days ofter does the trick. You can also soak a tissue in vodka and leave for an hour or two. After trying one or more of the above suggestions tapping the stopper with a wooden spoon often works. Tanya Merriman Comment