Multiplying these operators gives an operator that (*) counts the amount of particles in a state, called the number operator.
These objects have non-vanishing off-diagonal matrix elements which are equal to the square roots of the natural numbers. The second quantization formalism is expressed in terms of these objects in a Fock space. The HolsteinÂ–Primakoff transformation relates the spin operators to these objects for bosons. For bosons, these objects satisfy a canonical commutation relation, while they are related by an anticommutator for fermions. Multiplying these operators gives an operator that (*) counts the amount of particles in a state, called the number operator. They are used to find the energy eigenvalues of the quantum harmonic oscillator without directly solving the Schrödinger equation. For 10 points, name these operators that increase or decrease a system's eigenvalue by one uni
These objects have non-vanishing off-diagonal matrix elements which are equal to the square roots of the natural numbers.
ladder operators [**For alternate answers you need BOTH underlined portions. Prompt on partial answer** or creation and annihilation operators; or raising and lowering operators]