A hydrogen atom is placed in a (time-dependent) electric field . Calculate all four matrix elements of the perturbation between the ground state and the (quadruply degenerate) first excited states . Also show that for all five states. Note: There is only one integral to be done here, if you exploit oddness with respect to z; only one of the states is "accessible" from the ground state by a perturbation of this form, and therefore the system functions as a two-state configuration—assuming transitions to higher excited states can be ignored.

According to social exchange theory, altruistic behaviors benefit the individual who performs them. t/f

The key to stability is feedback between the reservoir and the fluxes into and/or out of the reservoir. assume that the rate of outflow from a reservoir depends on the size of the reservoir according to the following relationship: outflow rate= k x (size of reservoir), where k is a constant. a reservoir of water has a volume of 5000 liters, and the rate of outflow at steady state is 25 liters per minute. what is k? (give both the numerical value and its units.) what is the residence time? what is the relationship between k and the residence time?

Examples of states of consciousness include a. daydreaming b. dreaming during sleep c. hypnosis d. all of the above