An observable, q, is represented by an operator, . Assuming a system is in a state Ψ(x,t). a) Write an expression for the expectation value of the observable,. b) Write an expression for the uncertainty in measuring the observable, ∆q. c) Write expressions for the operators relating to position and momentum ( and ) and for the squares of these operators. d) If Ψ(x,t) is an eigenstate of , write an equation relating the eigenvalue and its operator.
An observable, q, is represented by an operator, . Assuming a system is in a state Ψ(x,t). a) Write an expression for the expectation value of the observable,. b) Write an expression for the uncertainty in measuring the observable, ∆q. c) Write expressions for the operators relating to position and momentum ( and ) and for the squares of these operators. d) If Ψ(x,t) is an eigenstate of , write an equation relating the eigenvalue and its operator.
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An observable, q, is represented by an operator, . Assuming a system is in a state
Ψ(x,t).
a) Write an expression for the expectation value of the observable,<q>.
b) Write an expression for the uncertainty in measuring the observable, ∆q.
c) Write expressions for the operators relating to position and momentum (
and ) and
for the squares of these operators.
d) If Ψ(x,t) is an eigenstate of , write an equation relating the eigenvalue and its
operator.
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