They are an easy load to drive, your 55 wpc Yamaha should work fine.
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Agree with Jmcgrogan. I've got the 6.2s and have no problem powering them with a 100WPC amp, but the 6.3s have those dual woofs so they might require a little more control than mine. Another key stat would be minimum impedance -- if they drop to 4Ohms or so your receiver may have a tough time depending on how loud you tend to listen. They are fairly transparent and image very well, so they certainly will reward you the better the quality of amplification. These are really nice speakers so definitely worth a try with your receiver or searching for a little beefier integrated amp if it's not quite up to the task. I don't think they'll require anything crazy to sound very good, and I bet there are lots of used options for integrateds under $1000 that would work really well if it comes to that. Best of luck.