Answered: Check which of the wavefunctions below… | bartleby

Related questions

Question

Check which of the wavefunctions below represents a physically
possible solution to the Schrodinger equation for a free electron?
1:) ▼ (r, t) = e'(2x102z-wt)
2:) V (x, t) = e'(2x10%z-wt)
3:) V (x, t) = e'(2x1014-wt)
%3D
4:) V (r, t) = e"(2×1015z–ut)
5:) V (x, t) = e'(2x100z-wt)

Expert Solution

Step by step

Solved in 5 steps

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

Calculate the de Broglie wavelength (in nm) for a proton with KE = 1 eV Oλ = 0.0287 nm Ол O λ = 2.87 nm Oλ = 28.7 nm λ = 0.287 nm
Show that the following function Y(0,9)= sin 0 cos e eiº is the solution of Schrödinger 1 1 equation: sin 0 21 sin 0 00 Y(0,0)= EY (0,9) and find the sin 0 dp? energy, E.
Complete the derivation of E = Taking the derivatives we find (Use the following as necessary: k₁, K₂ K3, and 4.) +- ( ²) (²) v² = SO - #2² - = 2m so the Schrödinger equation becomes (Use the following as necessary: K₁, K₂, K3, ħ, m and p.) 亢 2mm(K² +K ² + K² v k₁ = E = = EU The quantum numbers n, are related to k, by (Use the following as necessary: n, and L₁.) лħ n₂ π²h² 2m √2m h²²/0₁ 2m X + + by substituting the wave function (x, y, z) = A sin(kx) sin(k₂y) sin(kz) into - 13³3). X What is the origin of the three quantum numbers? O the Schrödinger equation O the Pauli exclusion principle O the uncertainty principle Ⓒthe three boundary conditions 2² 7²4 = E4. 2m
da=do= 4) For the following d hydrogenic wavefunctions, find the magnitude and the z component of the orbital angular momentum. You can give your results in terms of h. اور اہل = 1 √2 16t i√2 i√2 Final (d₁2+ d_2) = (165) R₁2(r) (x²- y²)/r² 151/2 1/2 R₁2(r) (3cos²0-1)=(16) R2(1)(32²-7²)/² 1/2 (d+2-d-2)= (15) Rm2(7)xy/² =(d. 1+d-1)= (d_1-d-1)=- 1/2 1/2 (15) R₁2 (r)yz/r² 10 June 2011 1/2 (45) * Ru2(1) 2x/r²
Consider the Bloch sphere for a single qubit. What is the state represented by the Bloch vector (-1,0,0)? (12+) - i|z_)) a. b. |z_) c. (z+) d. • e. (12+)+ 12-)) (12+) - 12-))
[QUANTUM PHYSICS]
The L series of the characteristic x-ray spectrum of tungsten contains wavelengths of 0.1099 nm and 0.1282 nm. The L-shell ionization energy is 11.544 keV. Which x-ray wavelength corresponds to an N → L transition? Determine the ionization energies of the M and N shells: If the incident electrons were accelerated through a 40.00 keV potential difference before striking the target, find the shortest wavelength of the emitted radiation:
QUESTION 7 Use the Schrödinger equation to calculate the energy of a 1-dimensional particle-in-a-box system in which the normalized wave function is 4' = e sin(6x). The box boundaries are at x=0 and x=r/3. The potential energy is zero when 0 < x <- and o outside of these boundaries. 18h? m h2 8m h2 36n2m none are correct
A hypothetical molecule oscillates with a natural frequency of 1.4 × 1013 Hz. Part (a) What is the energy difference, in electron volts, between adjacent harmonic oscillator states of the hypothetical molecule? Part (b) What is the quantum number of the state of the hypothetical molecule that has an energy of 0.75 eV? Round your answer to the nearest integer.