creation and annihilation operators造句

• Where are interpreted as creation and annihilation operators respectively.
• P . Jordan introduced creation and annihilation operators for fields obeying Fermi Dirac statistics.
• The creation and annihilation operators, which add and subtract particles from multi-particle states.
• Technically, one converts the field to an operator, through combinations of creation and annihilation operators.
• The lower bound for this noise follows from the fundamental properties of the creation and annihilation operators.
• To perceive any difference between them, we need other operators, namely the creation and annihilation operators.
• The operators derived above are actually a specific instance of a more generalized notion of creation and annihilation operators.
• They are also creation and annihilation operators which satisfy commutation relations and are subject to the spin statistics theorem.
• Quantum oscillators are described using creation and annihilation operators \ widehat a ^ \ dagger and \ widehat a.
• The creation and annihilation operators of composite particles formed of fermion pairs adhere to the commutation relations of the form
• Normal ordering of a product quantum fields or creation and annihilation operators can also be defined in many other ways.
• The properties of this quantum field can be explored by defining creation and annihilation operators, which add and subtract particles.
• When developed further, the theory often contradicts observation, so that its creation and annihilation operators can be empirically tied down.
• In the quantum oscillator mode, most operators representing physical quantities are typically expressed in terms of the creation and annihilation operators.
• The mathematics for the creation and annihilation operators for bosons is the same as for the ladder operators of the quantum harmonic oscillator.
• The right hand side can be computed explicitly, by expanding the " in " field in creation and annihilation operators:
• Creation and annihilation operators can be constructed for spin-objects; these obey the same commutation relations as other angular momentum operators.
• We can use contractions and normal ordering to express any product of creation and annihilation operators as a sum of normal ordered terms.
• These creation and annihilation operators are very similar to those defined for the quantum harmonic oscillator, which added and subtracted energy quanta.
• It is straight forward to show that this expectation value vanishes if the amount of Fermion creation and annihilation operators are not equal.