Ja, das geht's.
(Sorry about my very poor German)
Yes, this disk fits in the PS4 Slim, but it will go slow, as always.
The super long load times of PS4 are mainly due to the hard disk. I strongly recommend you to chose a SSD. They are a bit more expensive but so much worthwhile!!
For instance: Intenso high performance (960GB, 2.5")
Or almost any SSD 2.5" with the same specs. I personally don't need 1TB and with the disk of 500GB I have more than enough for my PS4.
I hope this helps,
Ivan.