{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Operators - refer to the operator acting on NH for example...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Operators Levine [ 3 ] defines an operator as ``a rule that transforms a given function into another function'' (p. 33). The differentation operator is an example--it transforms a differentiable function into another function . Other examples include integration, the square root, and so forth. Numbers can also be considered as operators (they multiply a function). McQuarrie [ 1 ] gives an even more general definition for an operator: ``An operator is a symbol that tells you to do something with whatever follows the symbol'' (p. 79). Perhaps this definition is more appropriate if we want to
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: refer to the operator acting on NH , for example. Operators and Quantum Mechanics In quantum mechanics, physical observables (e.g., energy, momentum, position, etc.) are represented mathematically by operators. For instance, the operator corresponding to energy is the Hamiltonian operator (31) where is an index over all the particles of the system. We have already encountered the single-particle Hamiltonian in equation ( 25 ). The average value of an observable A represented by an operator for a quantum molecular state is given by the ``expectation value'' formula (32)...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online