Is it normal to be like this whilst in love?

I've fallen in love with this amazing man and it's nothing like I've ever experienced before. I've had two previous relationships where I thought I was in love but now I realise they came nothing close to the real thing. I spend most of the day thinking about him, I'm a pretty anxious person but physical contact with him calms me like nothing else is able to, whenever he smiles/laughs/etc my chest feels like it's being squeezed and I get this weird throbbing in my right hand, whenever he kisses me I genuinely feel lightheaded. In my other relationships kissing was mostly just a warm up but it isn't like that with him. When we're apart for extended periods of time, I find myself getting physically anxious, like my whole body is thrumming with excitement to see him again and I'm much more emotional now, just thinking about how much I love him can make me cry. I'm aware that this must sound really cheesy but this is the best way I could describe it. I'm pretty young and this is my first experience of love so I always thought it was a completely emotional thing. What I want to know is it normal to have such physical reactions to being in love?