1. Show that the position operator is Hermitian, remember that the position operator is real. 2. If Q and R are Hermitian operators show that the operators given by the expressions below are Hermitian. Hint, start by considering Q operating on Rg. (QÂ+ÂQ) and i(QÂ – ÂQ) A corollary of the solution above is that if Q is Hermitian so is the operator Q². Hence if the operator P is Hermitian so is the kinetic energy operator.
1. Show that the position operator is Hermitian, remember that the position operator is real. 2. If Q and R are Hermitian operators show that the operators given by the expressions below are Hermitian. Hint, start by considering Q operating on Rg. (QÂ+ÂQ) and i(QÂ – ÂQ) A corollary of the solution above is that if Q is Hermitian so is the operator Q². Hence if the operator P is Hermitian so is the kinetic energy operator.
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Can you help me solve these two question please
Transcribed Image Text:1. Show that the position operator is Hermitian, remember that the position
operator is real.
2. If Q and R are Hermitian operators show that the operators given by the
expressions below are Hermitian. Hint, start by considering Q operating on Rg.
(QÂ+ÂQ) and i(QÂ – ÂQ)
A corollary of the solution above is that if Q is Hermitian so is the operator Q².
Hence if the operator P is Hermitian so is the kinetic energy operator.
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