Math of QM: 9.1. Motivation of Symmetric Fock Space

Motivation of symmetric Fock space.
This is the first 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.