Why don't snowstorms produce thunders and lightning?

The problem is that the winter air is not the most appropriate for the conditions

 necessary for lightning to form.Thunder is the sound caused by lightning.   

The intense heat from lightning causes thesurrounding air to rapidly expand

 and create a sonic wave that you hear as thunder  And there isn´t lightning 

there isn´t thunder.

The reason is that during the summer, the lower atmosphere is full of warm, humid air.
 Above that, it's cold and full of ice crystals. As the warm air rises, it carries water vapor with it, these molecules brush against the ice crystals, and this friction creates an electric field in the cloud -- like scuffing your feet across a carpet. The ice crystals gain a slight positive charge, and the updraft carries them to the top of the cloud, giving the cloud's bottom a net negative charge. Once the difference between the negatively charged cloud bottom and the positively charged ground becomes great enough, a bolt arcs between them.

But in snowy months, the atmosphere is cold and dry throughout, so there's no updraft to create friction within the clouds. Wind stirs the molecules and crystals some, but that action rarely generates a strong enough electric field to spark lightning.