Given the following wave function below:
where
The wave function for light wave is given by the following equation: Elx,t) = 103sin 1 (1.29 x 106 x - 8.95 x 1014 ), where x and t is in meters and seconds respectively Calculate the wavelength in angstrom units
A certain ocean wave has a wave function given by the formula: where y(x, t) is the position of a water molecule above sea level at time t at a distance a from the origin. All distances are given in meters and times are given in seconds. If you and I are standing 10 m apart along the path of the wave (i.e. I am 10 m "downstream" from you), how long after the wave passes you will it take...
9. 1.66 points Show that the wave function ψ-A ei(kx-at) is a solution to the Schrödinger equation, given below, where k-2π / λ and U-0. 2m dz2 Accomplish by calculating the following quantities. (Use the following as necessary: A, K, x, ,t, h, and m.) momentum Need Help?Read ItTalk to a Tutor 9. 1.66 points Show that the wave function ψ-A ei(kx-at) is a solution to the Schrödinger equation, given below, where k-2π / λ and U-0. 2m dz2 Accomplish...
Verify by direct substitution that the wave function for a standing wave given in the equation below is a solution of the general linear wave equation, shown below. (Show all work) 10 y standing wave linear wave equation
2. Variational Principle. The energy of a system with wave function ψ is given by where H is the energy operator. The variational principle is a method by which we guess a trial form for the wave function φ, with adjustable parameters, and minimize the resulting energy with respect to the adjustable parameters. This essentially chooses a "best fit" wave function based on our guess. Since the energy of the system with the correct wave function will always be minimum...
The wave function given below is suggested to fit the particle in a box of length L in one dimension: Duh!! also known as the particle on a line: V=N (L x-); where N is the normalization constant. Problem One. List three conditions (in a short phrase) that make any wavefunction acceptable. For each condition, show that the above wavefunction satisfies the condition you listed. (Use the allotted spaces below to answer the question). (1) (III).
8. A wave in a string has a wave function given by: y (x, t) = (0.0200m) sin [(6.35 m ^ -1) x + (2.63 s ^ -1) t] where t is expressed in seconds and x in meters. Determine: a) the amplitude of the wave b) the frequency of the wave c) wavelength of the wave d) the speed of the wave
8. A wave in a string has a wave function given by: y (x, t) = (0.0200m) sin [(6.35 m^-1) x + (2.63 s^-1) t] where t is expressed in seconds and x in meters. Determine: (10 points) a) the amplitude of the wave b) the frequency of the wave c) wavelength of the wave d) the speed of the wave
[10%) The radial part ofa wave function for an atom is given by (r)-Агет where A is the normalization constant and ag is a positive number. Calculate the expectation value of r for this state. A. 2a0 В. Зао C. 4ao D. 5ao (k
Consider a wave function given by ψ(x)=A sinkx, where k=2π/λ and A is a real constant. For what values of x is there the highest probability of finding the particle described by this wave function? x=nλ/2, n = 1, 3, 5,... x=nλ/4, n = 0, 2, 4,... x=nλ/2, n = 0, 2, 4,... x=nλ/4, n = 1, 3, 5,...