would the psychic blades created by the soul knife be considered as a Monk weapon?
Yes. The Soulknife class feature Psychic Blades specifically says that they count as simple melee weapons.
All simple melee weapons are Monk weapons under the 2024 version of the Monk class. The 2014 version limited it to simple melee weapons that didn't have the two-handed or heavy properties, which the Psychic Blades do not. So it works under either version.
would the psychic blades created by the soul knife be considered as a Monk weapon?
Yes. The Soulknife class feature Psychic Blades specifically says that they count as simple melee weapons.
All simple melee weapons are Monk weapons under the 2024 version of the Monk class. The 2014 version limited it to simple melee weapons that didn't have the two-handed or heavy properties, which the Psychic Blades do not. So it works under either version.
pronouns: he/she/they
While you can, you may find that Soulknife doesn't synergize well with monk -- both of them have core abilities that use their bonus action a lot.