test_df.filter(F.col("start").between(pd.to_datetime('2017-04-13'),pd.to_datetime('2017-04-14'))).show()
+--------------------+-----+
| start|value|
+--------------------+-----+
|2017-04-13 12:00:...| 1.0|
|2017-04-14 00:00:...| 1.1|
+--------------------+-----+