A1-d harmonic oscillator is prepared in a superposition of its ground state and its second excited state, with wavefunction where ψ0(x) and 2(x) are eigenfunctions of the hamiltonian with energy fo and 5e0 (a) let a and at denote the oscillator ladder operators. determine the wavefunctions that result from the following operations: àl/(x), à2> (x), 2), and ààub(x). (b) the oscillator has mass m and frequency w. evaluate the expectations () and where is the position operator (c) the oscillator evolves freely for a time t. what is the wavefunction at time t?

Arescue plane flying horizontally at spots a survivor in the ocean directly below and releases an emergency kit with a parachute. because of the shape of the parachute, it experiences insignificant horizontal air resistance. if the kit descends with a constant vertical acceleration of, how far away from the survivor will it hit the waves?

What is the role of the ocular lens?

Asubject in a clinical research trial experiences a serious, unanticipated adverse drug experience. how should the investigator proceed, with respect to the irb, after the discovery of the adverse event occurrence? a. do not report the adverse drug experience to the irb since it is a common adverse experience.b. report the adverse drug experience to the irb only if there are several other occurrences.c. report the adverse drug experience as part of the continuing review report.d. report the adverse drug experience in a timely manner, in keeping with the irb's policies and procedures, using the forms or the mechanism provided by the irb.