title: Field Operators in Real Space.
abstract: Field operators are widely used in many-body theory of indistinguishable particles. In this work it is shown that these operators can be represented solely in position space. Explicit expressions for the field operators in position space are given. Using the derived expression, we further show how by generalizing operators in first quantization to arbitrary particle numbers, one can directly connect to the respective operators in second quantization. A few illustrative examples are also presented.
authors.affiliation: Theoretische Chemie, Physikalisch-Chemisches Institut, Universität Heidelberg , Im Neuenheimer Feld 229, 69120 Heidelberg, Germany.
authors.forename: Lorenz S
authors.initials: LS
authors.lastname: Cederbaum