adiabatic theorem造句

• In 1989 Nenciu and Rasche proved it using the adiabatic theorem.
• This is done by assuming that H'( t ) obeys the adiabatic theorem.
• In 1999 J . E . Avron and A . Elgart reformulated the adiabatic theorem, eliminating the gap condition.
• If this action acts very slowly, then the adiabatic theorem of quantum mechanics implies that this will not cause jumps between energy levels of the system.
• The adiabatic theorem states that the modification to the system depends critically on the time \ scriptstyle { \ tau = t _ 1-t _ 0 } during which the modification takes place.
• They implicitly involve initial and final states of the non-interaction Hamiltonian \ mathcal { H } _ 0, gradually transformed into states of the full Hamiltonian in accordance with the adiabatic theorem by " turning on " the interaction Hamiltonian ( the gauge coupling ).
• According to the adiabatic theorem of quantum mechanics, in the limit of an infinitely slow change of the system's Hamiltonian, the system will stay in the same energy eigenstate and thus change its energy according to the change in energy of the energy eigenstate it is in.
• For infinitely slow variation of the energy difference ( that is, a Landau Zener velocity of zero ), the adiabatic theorem tells us that no such transition will take place, as the system will always be in an instantaneous eigenstate of the Hamiltonian at that moment in time.
• Because this procedure of recomputing the electronic wave functions as a function of an infinitesimally changing nuclear geometry is reminiscent of the conditions for the adiabatic theorem, this manner of obtaining a PES is often referred to as the " adiabatic approximation " and the PES itself is called an " adiabatic surface ".