In many papers dealing with the Schrodinger equation with magnetic potential $$u_t=i(\nabla+iA(t,x))^2u$$ the authors say that this equation can be studied with Kato's methods for abstract evolution equations. Is there someone who can suggest some reference in which this approach is used?
Maybe the following references will be helpful: http://link.springer.com/article/10.1007%2FBF01682741 (Remarks on schrödinger operators with vector potentials, by Tosio Kato), https://projecteuclid.org/euclid.dmj/1077313102 (Schrödinger operators with magnetic fields. I. general interactions, by J. Avron, I. Herbst, and B. Simon).
Many relevant references can be found through these two more recent articles: http://arxiv.org/abs/math-ph/0510055 (Recent developments in quantum mechanics with magnetic fields, by Laszlo Erdos) and http://arxiv.org/abs/1410.8210 (Magnetic Schrödinger operators and Manes critical value, by Peter Herbrich).