Math of QM: 9.10. Schrödinger Representation of CCR for Infinite Number of Degrees of Freedom

CCR and Weyl relations for the case of infinite degree of freedom.

This is the final part of Lecture 9 in the lecture series "Mathematical Aspects of Quantum Mechanics" of Roland Speicher in the winter term 2020/21 at Saarland University, Germany. Lecture 9, which is split into 10 parts, provides with creation and annihilation operators on the symmetric Fock space the analogue of the Schroedinger representation of the CCR in the case of an infinite number of degrees of freedom. Along the way we discuss also a bit second quantization.