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I can solve first in term of x. You can understand this easily,
then after replaced x to zeta.
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5.(15pts) Use the recursion equation for Hermite polynomials to calculate H (8) starting with H.(E) and...
A significant outcome from Hermite's equation are the Hermite Polynomials Hn(x). They are the nth...
A significant outcome from Hermite's equation are the Hermite Polynomials Hn(x). They are the nth-order polynomial solution toHermite's equation(v or v,) multiplied by an appropriate constant cn such that the coefficient of x" is 21. (a) Find the first three even Hermite Polynomials. That is, to find Ho(x) find a constant co to multiply with y1 when α-0 such that the coefficient in front of xo is 20. To find H2 (x) find a constant c2 to multiply with y1...
10.5.3 Consider the defining differential equation for the Hermite polynomials do and solve it by the series solution method for functions Hn(x such that Hx)exp(-x2/2) can be normalized In your solut...
10.5.3 Consider the defining differential equation for the Hermite polynomials do and solve it by the series solution method for functions Hn(x such that Hx)exp(-x2/2) can be normalized In your solution (i) find a recurrence relation between the coefficients of the power series solutions [Note: this (ii) show that Hn(x)exp(x/2) wll not be normalizable unless the power series terminates (ii) choosing co 0 or 1 and c0 or 1, find the first 5 power series solutions of the equation. relation...
3. A useful recursion relationship for the associated Legendre Polynomials (solution to the θ-equation) is 2J1...
3. A useful recursion relationship for the associated Legendre Polynomials (solution to the θ-equation) is 2J1 J-1 a) Show that the functions P, PO, Pl, and P) obey the recursion relationship Transitions between rotational states Jm and J'm' are governed by the relationship Where the dipole moment A is And J'm' have values different than Jm. When HrD 0 transitions occur. Use the recursion relationships to show rotational transitions are subject to the selection rule AJ- +1 for 2-dipole transitions....
Problem 2.16 In this problem we explore some of the more useful theorems (stated without proof)...
Problem 2.16 In this problem we explore some of the more useful theorems (stated without proof) involving Hermite polynomials. (a) The Rodrigues formula says that H (6) = (-1)” (1) . (2.87) Use it to derive H3 and H4. (b) The following recursion relation gives you Hn+1 in terms of the two preceding Hermite polynomials: Hn+1(E) = 2€ H, (E) – 2n Hn-1(5). (2.88) Use it, together with your answer in (a), to obtain Hg and H. (c) If you...
Problem 2. (15pts) Calculate the concentration of H,O* in 0.1 M solution of a weak diprotic...
Problem 2. (15pts) Calculate the concentration of H,O* in 0.1 M solution of a weak diprotic base B. pKo, 5, pKa2-9 Grade oe Final Answer e prese Problem 3. (15pts) Calculate the concentration of A2 in a 0.1M solution ofa diprotic acid H A with pK, 4 and pK8 Grade Final Answer
11) The wave functions obtained by solving the Schrodinger equation for the simple harmonie motion are 7.00 - A ) 18...
11) The wave functions obtained by solving the Schrodinger equation for the simple harmonie motion are 7.00 - A ) 18 H,() Here on A ( 2 1) and n-0.1.2... are the vibrational quantum numbers H.cz) is the Hermite polynomials. Carry out the calculations for v.00 (for through n-5) by using the Recursion relation: H.(x) - 2H.(z) - 2nH. (2). (Hint: Ho(t) - 1 and H.(?) - 2x) Hi 224, 2(1) 22(22) 2(1) 42²- 2v 2202 - 2015 221 422-2-221(2282.42-822...
3. Let f(x) = (a) (15pts) Use the definition of the derivative to find f'(5). (b)...
3. Let f(x) = (a) (15pts) Use the definition of the derivative to find f'(5). (b) (5pts) Write the equation of the tangent line at (5,3).
- The equation for the combustion of Propane,C,H, is: CH, (e) + 5 02 ® 3...
- The equation for the combustion of Propane,C,H, is: CH, (e) + 5 02 ® 3 CO, w+ 4 H,0 (8) Calculate the volume of carbon dioxide produced at 50 °C and 3.00 atm when 2.00 g of Propane is used in the reaction. Show your work. [5]
please help Problem 5-15pts A magnetic field B points in the x-direction and electric field E...
please help
Problem 5-15pts A magnetic field B points in the x-direction and electric field E points in the 2-direction. A positive particle at rest is released from the origin. a) Starting with general solution y(t) = 6 cos wt + C sin wt + + + C3; z(t) = C2 cos wt - Csin wt + C4 and using initial conditions, determine the constants G,C2, Cand C, and write the exact solution (10pts) b) Find the trajectory of the...
Equation1 Equation2 Equation 3 Derive Equation 3 starting from Equation 2 and applying Equation 1. AGC,H,0...
Equation1
Equation2
Equation 3
Derive Equation 3 starting from Equation 2 and applying Equation
1.
AGC,H,0 = mcm (C -C) f=4 1+e (C -C) RT rok 1%)=me-Schule
A significant outcome from Hermite's equation are the Hermite Polynomials Hn(x). They are the nth-order polynomial solution toHermite's equation(v or v,) multiplied by an appropriate constant cn such that the coefficient of x" is 21. (a) Find the first three even Hermite Polynomials. That is, to find Ho(x) find a constant co to multiply with y1 when α-0 such that the coefficient in front of xo is 20. To find H2 (x) find a constant c2 to multiply with y1...
10.5.3 Consider the defining differential equation for the Hermite polynomials do and solve it by the series solution method for functions Hn(x such that Hx)exp(-x2/2) can be normalized In your solution (i) find a recurrence relation between the coefficients of the power series solutions [Note: this (ii) show that Hn(x)exp(x/2) wll not be normalizable unless the power series terminates (ii) choosing co 0 or 1 and c0 or 1, find the first 5 power series solutions of the equation. relation...
3. A useful recursion relationship for the associated Legendre Polynomials (solution to the θ-equation) is 2J1 J-1 a) Show that the functions P, PO, Pl, and P) obey the recursion relationship Transitions between rotational states Jm and J'm' are governed by the relationship Where the dipole moment A is And J'm' have values different than Jm. When HrD 0 transitions occur. Use the recursion relationships to show rotational transitions are subject to the selection rule AJ- +1 for 2-dipole transitions....
Problem 2.16 In this problem we explore some of the more useful theorems (stated without proof) involving Hermite polynomials. (a) The Rodrigues formula says that H (6) = (-1)” (1) . (2.87) Use it to derive H3 and H4. (b) The following recursion relation gives you Hn+1 in terms of the two preceding Hermite polynomials: Hn+1(E) = 2€ H, (E) – 2n Hn-1(5). (2.88) Use it, together with your answer in (a), to obtain Hg and H. (c) If you...
Problem 2. (15pts) Calculate the concentration of H,O* in 0.1 M solution of a weak diprotic base B. pKo, 5, pKa2-9 Grade oe Final Answer e prese Problem 3. (15pts) Calculate the concentration of A2 in a 0.1M solution ofa diprotic acid H A with pK, 4 and pK8 Grade Final Answer
11) The wave functions obtained by solving the Schrodinger equation for the simple harmonie motion are 7.00 - A ) 18 H,() Here on A ( 2 1) and n-0.1.2... are the vibrational quantum numbers H.cz) is the Hermite polynomials. Carry out the calculations for v.00 (for through n-5) by using the Recursion relation: H.(x) - 2H.(z) - 2nH. (2). (Hint: Ho(t) - 1 and H.(?) - 2x) Hi 224, 2(1) 22(22) 2(1) 42²- 2v 2202 - 2015 221 422-2-221(2282.42-822...
3. Let f(x) = (a) (15pts) Use the definition of the derivative to find f'(5). (b) (5pts) Write the equation of the tangent line at (5,3).
- The equation for the combustion of Propane,C,H, is: CH, (e) + 5 02 ® 3 CO, w+ 4 H,0 (8) Calculate the volume of carbon dioxide produced at 50 °C and 3.00 atm when 2.00 g of Propane is used in the reaction. Show your work. [5]
please help
Problem 5-15pts A magnetic field B points in the x-direction and electric field E points in the 2-direction. A positive particle at rest is released from the origin. a) Starting with general solution y(t) = 6 cos wt + C sin wt + + + C3; z(t) = C2 cos wt - Csin wt + C4 and using initial conditions, determine the constants G,C2, Cand C, and write the exact solution (10pts) b) Find the trajectory of the...
Equation1
Equation2
Equation 3
Derive Equation 3 starting from Equation 2 and applying Equation
1.
AGC,H,0 = mcm (C -C) f=4 1+e (C -C) RT rok 1%)=me-Schule
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