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?

Utah's great salt lake has an average salinity seven times higher than that of the oceans. very few multicellular organisms live in this harsh environment. an example is the brine shrimp, which must devote a large portion of its metabolic energy to osmoregulation. these brine shrimp must available hint(s)utah's great salt lake has an average salinity seven times higher than that of the oceans. very few multicellular organisms live in this harsh environment. an example is the brine shrimp, which must devote a large portion of its metabolic energy to osmoregulation. these brine shrimp must pump water back into their cells to counter its loss due to osmosisactively pump water back out of their cells to counter its inflow due to osmosissynthesize membranes that are impermeable to substances that upset osmotic balanceactively pump salt back out of their cells to counter its inflow due to osmosis

Alandscaper is shopping for landscaping materials. she wants to use materials through which water flows easily. which materials should she choose? check all that apply. clay gravel granite rocks with cracks loosely packed soil

If a negatively charged particle is placed at rest in an electric potential field that increases in the positive x-direction, what will the particle do? a. accelerate in the positive x-direction b. remain at rest c. accelerate in the negative x-direction