Everything about First Quantization totally explained
A
first quantization of a physical system is a semi-
classical treatment of
quantum mechanics, in which particles or physical objects are treated using quantum
wave functions but the surrounding environment (for example a
potential well or a bulk
electromagnetic field or
gravitational field) is treated classically. First quantization is appropriate for studying a single quantum-mechanical system being controlled by a
laboratory apparatus that's itself large enough that
classical mechanics is applicable to most of the apparatus.
First quantization is the subject studied in most
undergraduate quantum mechanics courses, and in which the
Schrodinger Equation and
Heisenberg matrix mechanics (together with
bra-ket notation) are most simply applied. It may be contrasted with
Second quantization, which includes quantum-mechanical uncertainty effects in all aspects of an experiment including the controlling fields and boundary conditions.
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