Find out which of the followings are pure states and mixed states? (a) p1= ¥(100)(00이 + 101) (11||11>(00| + |11>(11|) (b) p2 =D ¥100) (00| + 1101>(01| + ¥|10) (1이| + 1|11>(11| (c) p3 =D 글(100)(0이 + |11><11|) (d) p4=p × I +(1 – p) × p1
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- Subject: physics13. Consider the following state constructed out of products of eigen- = √√ 12.-111, -1) + √√ 12,−1)|1,0) (a) Show that this is an eigenstate of the total angular momentum. What are the values of j and m;, for this state? mj (b) Construct a (normalized) state of the same j, but a value of larger by 1.Chapter 39, Problem 044 A hydrogen atom in a state having a binding energy (the energy required to remove an electron) of -1.51 eV makes a transition to a state with an excitation energy (the difference between the energy of the state and that of the ground state) of 10.200 eV. (a) What is the energy of the photon emitted as a result of the transition? What are the (b) higher quantum number and (c) lower quantum number of the transition producing this emission? Use -13.60 eV as the binding energy of an electron in the ground state. (a) Number Units (b) Number Units (c) Number Units
- In the subshell e = 3, (a) what is the greatest (most positive) me value, (b) how many states are available with the greatest mn, value, and (c) what is the total number of states in the subshell? (a) Number Units (b) Number Units (c) Number UnitsA quantum system is described by a wave function (r) being a superposition of two states with different energies E1 and E2: (x) = c191(r)e iEit/h+ c292(x)e¯iE2t/h. where ci = 2icz and the real functions p1(x) and p2(r) have the following properties: vile)dz = ile)dz = 1, "0 = rp(x)T#(x)l& p1(x)92(x)dx% D0. Calculate: 1. Probabilities of measurement of energies E1 and E2 2. Expectation valuc of cnergy (E)Material Si Ge GaAs effective mass parameters: Electron Effective Mass 1.08mo 0.55mo 0.067mo Determine the number of quantum states [er unit volume (3D mate- rial) #/cm³ at T=300K for Si, Ge, and GaAs at an energy of E = kT. What do you observe about the relationship between effective mass and the # of states.
- For A =7.2i^+9j^-5k^and B=6i^-8.3j^−7k^ then what is the z component of A×B?Calculate the probability density | W100(r,8,0)|² of finding the electron at the nucleus (considered as a point at the center of coordinates) for a hydrogen atom in the state 100. \3/2 R10(r) =: 2Zr (hbar)? ao = me? Yoo(e,$)= - nao Please notice that the above formulas are written in the cgs system of units, so mass is in grams, distance is in cm, and energy is in erg = g cm2/s2. In this system of units e = 4.8032068 X 10-10 statC, where 1 statC = 1 cm3/2 g1/2 s-1 O 0.18 pm-3 2.15 x 10-6 pm-3 Oc. 1.54 x 10-18 Pm-3 6.22 x 10-10 pm-3 Oe1 23 x 104 pm-3