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Exercise 1 (a) Write down the general form of the Clebsch-Gordan decomposition of states lji,j2;j, m)...
Exercise 1: addition of angular momentum a) Explicitly construct the states of total spin for a...
Exercise 1: addition of angular momentum a) Explicitly construct the states of total spin for a system of two spin-^ particles b) Use the table (given below) to verify the Clebsch-Gordan coefficients c) Construct the , 12;l, m)- 1,1;0,0) state explicitly and by using the table Table 1: Clebsch-Gordan coefficients (ji, 1, m2ljm) m2 =- Clebsch-Gordan coefficients 〈J1, 1; m1, m2|JM》 Table 2: 1 +1 71 2j1i+ 1-m)(i-m+1 2j1 (2j1+1 2j1 (2j1+ 11 (21+
Exercise 1: addition of angular momentum a) Explicitly construct the states of total spin for a system of two spin-z pa...
Exercise 1: addition of angular momentum a) Explicitly construct the states of total spin for a system of two spin-z particles b) Use the table (given below) to verify the Clebsch-Gordan coefficients c) Construct the 1, 12;1, m) 1, 1;0, 0) state explicitly and by using the table Table 1: Clebsch-Gordan coefficients (1,mi, m2ljm) m2 =- ji 2 131-m+ Table 2: Clebsch-Gordan coefficients (j1,1;m, m2jm) m20 1-m+1)01+m+1 2j1101+ j11 (21 +1) (21+2) 71 231 (ว่า+ (31+ (1-m)1-m+1)12
Exercise 1: addition...
2. Addition of Angular Momentum a) (8pts) Given two spin 1/2 particles, what are the four possibilities for their spin configuration? Put your answer in terms of states such as | 11). where the f...
2. Addition of Angular Momentum a) (8pts) Given two spin 1/2 particles, what are the four possibilities for their spin configuration? Put your answer in terms of states such as | 11). where the first arrow denotes the z-component of the particle's spin. Identify the m values for each state. b)(7pts) If you apply the lowering operator to a state you get Apply the two-state lowering operator S--S(,) +S(), where sti) acts on the first state and S acts on...
Exercise 8.3 (a) Write down all possible states of two nonidentical particles of spin 1 (i.e.,...
Exercise 8.3 (a) Write down all possible states of two nonidentical particles of spin 1 (i.e., both particles are in s states). (b) What restrictions do we get if the two particles are identical. Write down all possible states for this system of two spin 1 identical particles.
Problem 3 Consider a particle with total angular momentum quantum number l (1) Write down the...
Problem 3 Consider a particle with total angular momentum quantum number l (1) Write down the matrix L, representing L using the basis formed by {|l, m)], which are co-eigenstates of I2 and L. Choose the order of the basis vectors such that the diagonal matrix elements of L, are in descending order. [10 points] 2) Write down the matrix representations of L+ and L using the same basis for representing L. [20 points] (3) Write down the matrix representations...
Write the five equations (balanced and including states). Label them step 1 through 5. HINT gor the step 1 reaction: ge...
Write the five equations (balanced and including states). Label
them step 1 through 5. HINT gor the step 1 reaction: get rid of O2
and 2 moles of NO2 is made for every 4 moles of HNO3.
Unbalanced reactions for each step: Step 1: HNO3(aq) + Cu(s) + O2 (g) → Cu(NO3)2(aq) + H2O(l) + NO2(g) Step 2: Cu(NO3)2(aq) + NaOH(aq) → Cu(OH)2(s) + NaNO3(aq) Step 3: Cu(OH)2(s) → CuO(s) + H2O(1) Step 4: CuO(s) + H2SO4(aq) → CuSO4(aq) +...
pls write down clearly thanks -2 SKMM2313 QUESTION 1 (a) A compressible fluid flows through a...
pls
write down clearly thanks
-2 SKMM2313 QUESTION 1 (a) A compressible fluid flows through a compressor that increases the density from 1 kg/m2 to 5 kg/m. The cross-sectional area of the inlet pipe is 3 m2 and that of the discharge pipe is 1 m2. Determine the relation between the discharge velocity V2 and the inlet velocity Vi (2 marks) In Figure Q1, determine the rate of change of h(t) if the fluid is water. (b) Take V.-10 m/s...
Problem 2. (30 points) The spin states: s 1,m) and Is -2, m1) composed of spin-3/2 and spin-1/2 states are linear combi...
Problem 2. (30 points) The spin states: s 1,m) and Is -2, m1) composed of spin-3/2 and spin-1/2 states are linear combinations of s1 3/2,m-3/2;2 1/2,m2 1/2) and 81-3/2, m-1/2; 2 1/2, m2--1/2), that is 11.-1)-cos θ3/2,-3/2; 1/2, 1/2) _ sin θ|3/2.-1/2; 1/2,-1/2), 2.-1) sin θ|3/2,-3/2; 1/2, 1/2) + cos θ|3/2.-1/2: 1/2,-1/2) a) Determine the values for cos θ and sin θ b) Express |3/2,-3/2; 1/2, 1/2) and |3/2,-1/2;1/2,-1/2) as functions of |1, -1) and 2,-1) c) A system of...
Question 1 (a) An experiment is performed to study the inclusive kº production in the reaction...
Question 1 (a) An experiment is performed to study the inclusive kº production in the reaction p + p → Rº + X, where x denotes any particle system (one or more particles). (1) What are the values of its characteristic quantum numbers (Q.B, L, S)? [6 Marks] (ii) What is the minimum number of particles in X? [2 Marks] (b) Explain why the K'and Kº mesons are not eigenstates of the CP operator. [7 Marks] (0) Write down the...
1. Write down the equilibrium constant expressions, K, and K for each of the following reactions:...
1. Write down the equilibrium constant expressions, K, and K for each of the following reactions: (a) H2(g)C(g) 2 HCl(g) (b) 2 C(s)+0(g) 2 COg Ag (aq)Cl(aq) (c) AgCl(s) (d) 2 0,(g) 30,(g) 2. A 1.0 L evacuated flask was charged with 0.020 mol of N,O and 0.060 mol of NO, at 25.0 C. After equilibrium was reached the NO2 concentration was found to be 0.0140 M. What is the equilibrium constant K, for the reaction? N,0,(g)2 NO(g) 3. Ammonium...
Exercise 1: addition of angular momentum a) Explicitly construct the states of total spin for a system of two spin-^ particles b) Use the table (given below) to verify the Clebsch-Gordan coefficients c) Construct the , 12;l, m)- 1,1;0,0) state explicitly and by using the table Table 1: Clebsch-Gordan coefficients (ji, 1, m2ljm) m2 =- Clebsch-Gordan coefficients 〈J1, 1; m1, m2|JM》 Table 2: 1 +1 71 2j1i+ 1-m)(i-m+1 2j1 (2j1+1 2j1 (2j1+ 11 (21+
Exercise 1: addition of angular momentum a) Explicitly construct the states of total spin for a system of two spin-z particles b) Use the table (given below) to verify the Clebsch-Gordan coefficients c) Construct the 1, 12;1, m) 1, 1;0, 0) state explicitly and by using the table Table 1: Clebsch-Gordan coefficients (1,mi, m2ljm) m2 =- ji 2 131-m+ Table 2: Clebsch-Gordan coefficients (j1,1;m, m2jm) m20 1-m+1)01+m+1 2j1101+ j11 (21 +1) (21+2) 71 231 (ว่า+ (31+ (1-m)1-m+1)12
Exercise 1: addition...
2. Addition of Angular Momentum a) (8pts) Given two spin 1/2 particles, what are the four possibilities for their spin configuration? Put your answer in terms of states such as | 11). where the first arrow denotes the z-component of the particle's spin. Identify the m values for each state. b)(7pts) If you apply the lowering operator to a state you get Apply the two-state lowering operator S--S(,) +S(), where sti) acts on the first state and S acts on...
Exercise 8.3 (a) Write down all possible states of two nonidentical particles of spin 1 (i.e., both particles are in s states). (b) What restrictions do we get if the two particles are identical. Write down all possible states for this system of two spin 1 identical particles.
Problem 3 Consider a particle with total angular momentum quantum number l (1) Write down the matrix L, representing L using the basis formed by {|l, m)], which are co-eigenstates of I2 and L. Choose the order of the basis vectors such that the diagonal matrix elements of L, are in descending order. [10 points] 2) Write down the matrix representations of L+ and L using the same basis for representing L. [20 points] (3) Write down the matrix representations...
Write the five equations (balanced and including states). Label
them step 1 through 5. HINT gor the step 1 reaction: get rid of O2
and 2 moles of NO2 is made for every 4 moles of HNO3.
Unbalanced reactions for each step: Step 1: HNO3(aq) + Cu(s) + O2 (g) → Cu(NO3)2(aq) + H2O(l) + NO2(g) Step 2: Cu(NO3)2(aq) + NaOH(aq) → Cu(OH)2(s) + NaNO3(aq) Step 3: Cu(OH)2(s) → CuO(s) + H2O(1) Step 4: CuO(s) + H2SO4(aq) → CuSO4(aq) +...
pls
write down clearly thanks
-2 SKMM2313 QUESTION 1 (a) A compressible fluid flows through a compressor that increases the density from 1 kg/m2 to 5 kg/m. The cross-sectional area of the inlet pipe is 3 m2 and that of the discharge pipe is 1 m2. Determine the relation between the discharge velocity V2 and the inlet velocity Vi (2 marks) In Figure Q1, determine the rate of change of h(t) if the fluid is water. (b) Take V.-10 m/s...
Problem 2. (30 points) The spin states: s 1,m) and Is -2, m1) composed of spin-3/2 and spin-1/2 states are linear combinations of s1 3/2,m-3/2;2 1/2,m2 1/2) and 81-3/2, m-1/2; 2 1/2, m2--1/2), that is 11.-1)-cos θ3/2,-3/2; 1/2, 1/2) _ sin θ|3/2.-1/2; 1/2,-1/2), 2.-1) sin θ|3/2,-3/2; 1/2, 1/2) + cos θ|3/2.-1/2: 1/2,-1/2) a) Determine the values for cos θ and sin θ b) Express |3/2,-3/2; 1/2, 1/2) and |3/2,-1/2;1/2,-1/2) as functions of |1, -1) and 2,-1) c) A system of...
Question 1 (a) An experiment is performed to study the inclusive kº production in the reaction p + p → Rº + X, where x denotes any particle system (one or more particles). (1) What are the values of its characteristic quantum numbers (Q.B, L, S)? [6 Marks] (ii) What is the minimum number of particles in X? [2 Marks] (b) Explain why the K'and Kº mesons are not eigenstates of the CP operator. [7 Marks] (0) Write down the...
1. Write down the equilibrium constant expressions, K, and K for each of the following reactions: (a) H2(g)C(g) 2 HCl(g) (b) 2 C(s)+0(g) 2 COg Ag (aq)Cl(aq) (c) AgCl(s) (d) 2 0,(g) 30,(g) 2. A 1.0 L evacuated flask was charged with 0.020 mol of N,O and 0.060 mol of NO, at 25.0 C. After equilibrium was reached the NO2 concentration was found to be 0.0140 M. What is the equilibrium constant K, for the reaction? N,0,(g)2 NO(g) 3. Ammonium...
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