The correct name is the "Schrödinger picture", not the "Schrödinger representation." In quantum mechanics, the "Schrödinger representation" refers to another thing (namely where a position operator is realized as a multiplication operator, and a momentum operators is realized as a differential operator.) "Schrödinger picture" is mentioned in a comment but it should be the other way around, i.e., the title should be "Schrödinger picture", and the "Schrödinger representation" could (perhaps) be mentioned in a comment. Similarly, the correct name is the "Heisenberg picture", not the "Heisenberg representation". And the correct name is the "interaction picture", not the "interaction representation". References: See. e.g. J.J. Sakurai, "Modern Quantum Mechanics", and many other textbooks on quantum mechanics.
Schrödinger representation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Schr%C3%B6dinger_representation&oldid=28664