I have 0 knowledge on electrical system and batteries, need help.

[choyak]

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You could use a Super Duper Mega Turbo Uber efficient boost converter, but fifteen milliamps? This would require days and days and days to charge ccompletely. Sadly, mine is NOT super or duper, etc.

[Sunny Solar]

Kurite if you had 10 of those solar cells and you wired them in series you could recharge 1 of those button cells. 1 panel as Sunkind showed you cant charge the battery ,not even if you tried in bright sunshine until the next millennium..

[Sunking]

You tell us. The batteries are 3.6 volts. The solar panel is .5 volts.

[kurite]

So I am looking to buy these rechargeable li-on batteries:

http://www.batteryspace.com/li-ionrechargeable2032buttoncells2pcslr203236v40mah20dx32mm014wheach.aspx

I have a very small solar panel that has these stats:
0.5V 15mA max output

Essentially i have no knowledge of how any of this works, so could I just connect this solar panel to the battery and let it charge? Or is something wrong with this set up?
Thanks