Analysis of I do not love Thee

I DO not love thee!--no! I do not love thee!
And yet when thou art absent I am sad;
   And envy even the bright blue sky above thee,
Whose quiet stars may see thee and be glad.

I do not love thee!--yet, I know not why,
Whate'er thou dost seems still well done, to me:
   And often in my solitude I sigh
That those I do love are not more like thee!

I do not love thee!--yet, when thou art gone,
I hate the sound (though those who speak be dear)
   Which breaks the lingering echo of the tone
Thy voice of music leaves upon my ear.

I do not love thee!--yet thy speaking eyes,
With their deep, bright, and most expressive blue,
   Between me and the midnight heaven arise,
Oftener than any eyes I ever knew.

I know I do not love thee! yet, alas!
Others will scarcely trust my candid heart;
   And oft I catch them smiling as they pass,
Because they see me gazing where thou art.