![9. (2 mark) What is the solution of the commutator [ã,p]? (Hint: Dont forget to apply the operator on f(x) and recall [A, B]](http://img.homeworklib.com/questions/bc2f2890-728f-11ea-84a6-c54cb352bd84.png?x-oss-process=image/resize,w_560)
Question category: quantum mechanics, quantum chemistry
Homework Answers
![ce [A ৪] = A 6 - 2 A utatorepeat ~ acc০ E2,6LeŽpfi ০২e tere c০ १) ator १2. camutataz eperato. +९. की](http://img.homeworklib.com/questions/bd7d1dc0-728f-11ea-b9cd-11ae25e32e0d.png?x-oss-process=image/resize,w_560)
Add Answer to:
Question category: quantum mechanics, quantum
chemistry
9. (2 mark) What is the solution of the commutator...
Question category: quantum mechanics, quantum chemistry 10. (1 mark) Look at the following normalized (real) wavefur...
Question category: quantum mechanics, quantum
chemistry
10. (1 mark) Look at the following normalized (real) wavefur ook at the following normalized (real) wavefunctions, plotted as "(x) versus x, for a particle in a box -1 < x < 1. 1.25 0.751 0.5 0.25 -0.25 -0.5 005 -0.5 0 0 1 -0.5 0.5 Which wavefunction (A, B or C) will yield the largest value for <x>? Justify your answer using only ONE grammatically correct sentence. (Hint: you should be able to...
problem 2 Professor A Abdurrahman's Course on Quantum Mechanics Quantum Mechanics I- Problem Set No. 3...
problem 2
Professor A Abdurrahman's Course on Quantum Mechanics Quantum Mechanics I- Problem Set No. 3 Due to 04/30/2018. Late homework will not be accepted. Problem 1 Prove that Hint. Direct computation. Problem 2 We have been dealing with real potential V (x) so far so now suppose that V (a) is complea. Compute dt Problem 3 For the Gaussian a) 1 /4 Compute (a) (z") for all alues of n integer, and (b) Compute fors(x) given above. Hint: ?...
2. (9 points total) Uncertainty relations. a) (1 point) Compute the commutator of the operators of...
2. (9 points total) Uncertainty relations. a) (1 point) Compute the commutator of the operators of coordinate and momentum in one dimension. b) (1 point) Two Hermitian operators A and B satisfy the relation [A, B] = iſ, where I is a number. Prove that I' is real. c) (1 point) Give the definition of the uncertainties A A and A B. d) (2 points) In this and subsequent parts of the question, we consider a normalized quantum stately) with...
QUESTION 1: In quantum mechanics, the behaviour of a quantum particle (like an electron, for example)...
QUESTION 1: In quantum mechanics, the behaviour of a quantum particle (like an electron, for example) is described by the Schrödinger equation. The time-independent Schrödinger equation can be written in operator notation as H{y(x, y, z))-Ey(x, y, z) where H is known as the Hamiltonian operator and is defined as h2 2m Here, is a positive physical) constant known as Planck's constant and m is the mass of the particle (also Just a constant). V(x,y,Z) is a real-valued function. The...
(4) The Pauli spin matrices are a set of 3 complex 2 x 2 matrices that are used in quantum mechanics to take into account the interaction of the spin of a particle with an external electromagnetic fi...
(4) The Pauli spin matrices are a set of 3 complex 2 x 2 matrices that are used in quantum mechanics to take into account the interaction of the spin of a particle with an external electromagnetic field. σ2 10), (a) Find the eigenvalues and corresponding eigenvectors for all three Pauli spin matrices. Show all of vour work (b) In Linear Algebra, two matrices A and B are said to commute if AB BA and their commutator defined as [A,...
The modern periodic table is arranged the way it is because of quantum mechanics. That is,...
The modern periodic table is arranged the way it is because of quantum mechanics. That is, there are sections for each subshell, and the number of columns in each section are dictated by the number of electrons allowed in each subshell. Look at the number of columns that are present in each section of the periodic table: the s block has 2 columns for 2 electrons, the p block is 6 cloumns wide because the p subshell holds 6 electrons,...
Can anyone help me to solve this question on Quantum Mechanics about Schrodinger equation please? 1....
Can anyone help me to solve this question
on Quantum Mechanics about Schrodinger equation please?
1. (a) From the definitions of probability density and flux, P(x,t) = 4*(x,t){(x,t) (:9 = 2 show that ƏP(x,t) at @j(x,t) Ox GP(x,t) for a particle satisfying the Schrodinger equation iħ – I hº o°F(x,t). ?+V(x)*(x,t) am Ox? at provided that the potential V(x) is real..
3. Correspondince between classical and quantum mechanics (a) Assuming the Hamilton operator HV(c) show that This...
3. Correspondince between classical and quantum mechanics (a) Assuming the Hamilton operator HV(c) show that This problem can be solved very similarly to what we had done in class for 2). Note that for this you may want to expand the potential energy operator V() in terms of the position operator x as V( a1+ After having dealt with the first few terms of the expansion, you probably will realize that it may be useful to find a general expression...
Question responses should be in short answer form or 1-2 sentences maximum. Write on back of paper if needed 1 In your own words, what does the quantum mean in Quantum Mechanics? 2. Describe the...
Question responses should be in short answer form or 1-2 sentences maximum. Write on back of paper if needed 1 In your own words, what does the quantum mean in Quantum Mechanics? 2. Describe the three quantized particles 3. What is the Heisenberg Uncertainty Principle? What does it mean? 4. What is the difference between heat and temperature? 5. Draw the potential energy diagram for a low temperature spontaneous reaction 6. Drawthe potential energy diagram for a high temperature spontaneous...
3. Give P an inner product structure by defining (f,9)-of(ag(x)e"da (you do not have to show that...
3. Give P an inner product structure by defining (f,9)-of(ag(x)e"da (you do not have to show that this is an inner product). Apply the Gram-Schmidt process to (1, , ) with this inner product. Show your work. Hint: You may want to use the fact that Jooz"e-xdz = nl, which follows from n application of integration by parts. (You do not have to show this.) Fun Fact: The polynomials you find here are the first three Laguerre Polynomials, and are...
Question category: quantum mechanics, quantum
chemistry
10. (1 mark) Look at the following normalized (real) wavefur ook at the following normalized (real) wavefunctions, plotted as "(x) versus x, for a particle in a box -1 < x < 1. 1.25 0.751 0.5 0.25 -0.25 -0.5 005 -0.5 0 0 1 -0.5 0.5 Which wavefunction (A, B or C) will yield the largest value for <x>? Justify your answer using only ONE grammatically correct sentence. (Hint: you should be able to...
problem 2
Professor A Abdurrahman's Course on Quantum Mechanics Quantum Mechanics I- Problem Set No. 3 Due to 04/30/2018. Late homework will not be accepted. Problem 1 Prove that Hint. Direct computation. Problem 2 We have been dealing with real potential V (x) so far so now suppose that V (a) is complea. Compute dt Problem 3 For the Gaussian a) 1 /4 Compute (a) (z") for all alues of n integer, and (b) Compute fors(x) given above. Hint: ?...
2. (9 points total) Uncertainty relations. a) (1 point) Compute the commutator of the operators of coordinate and momentum in one dimension. b) (1 point) Two Hermitian operators A and B satisfy the relation [A, B] = iſ, where I is a number. Prove that I' is real. c) (1 point) Give the definition of the uncertainties A A and A B. d) (2 points) In this and subsequent parts of the question, we consider a normalized quantum stately) with...
QUESTION 1: In quantum mechanics, the behaviour of a quantum particle (like an electron, for example) is described by the Schrödinger equation. The time-independent Schrödinger equation can be written in operator notation as H{y(x, y, z))-Ey(x, y, z) where H is known as the Hamiltonian operator and is defined as h2 2m Here, is a positive physical) constant known as Planck's constant and m is the mass of the particle (also Just a constant). V(x,y,Z) is a real-valued function. The...
(4) The Pauli spin matrices are a set of 3 complex 2 x 2 matrices that are used in quantum mechanics to take into account the interaction of the spin of a particle with an external electromagnetic field. σ2 10), (a) Find the eigenvalues and corresponding eigenvectors for all three Pauli spin matrices. Show all of vour work (b) In Linear Algebra, two matrices A and B are said to commute if AB BA and their commutator defined as [A,...
Can anyone help me to solve this question
on Quantum Mechanics about Schrodinger equation please?
1. (a) From the definitions of probability density and flux, P(x,t) = 4*(x,t){(x,t) (:9 = 2 show that ƏP(x,t) at @j(x,t) Ox GP(x,t) for a particle satisfying the Schrodinger equation iħ – I hº o°F(x,t). ?+V(x)*(x,t) am Ox? at provided that the potential V(x) is real..
3. Correspondince between classical and quantum mechanics (a) Assuming the Hamilton operator HV(c) show that This problem can be solved very similarly to what we had done in class for 2). Note that for this you may want to expand the potential energy operator V() in terms of the position operator x as V( a1+ After having dealt with the first few terms of the expansion, you probably will realize that it may be useful to find a general expression...
Question responses should be in short answer form or 1-2 sentences maximum. Write on back of paper if needed 1 In your own words, what does the quantum mean in Quantum Mechanics? 2. Describe the three quantized particles 3. What is the Heisenberg Uncertainty Principle? What does it mean? 4. What is the difference between heat and temperature? 5. Draw the potential energy diagram for a low temperature spontaneous reaction 6. Drawthe potential energy diagram for a high temperature spontaneous...
3. Give P an inner product structure by defining (f,9)-of(ag(x)e"da (you do not have to show that this is an inner product). Apply the Gram-Schmidt process to (1, , ) with this inner product. Show your work. Hint: You may want to use the fact that Jooz"e-xdz = nl, which follows from n application of integration by parts. (You do not have to show this.) Fun Fact: The polynomials you find here are the first three Laguerre Polynomials, and are...
Most questions answered within 3 hours.
-
Suppose a car is traveling at +22.2 m/s, and the driver sees a
traffic light turn...
asked 4 minutes ago -
1) Write a method that will return the length of smallest string
in an array of...
asked 11 minutes ago -
I am currently taking a Foundation of Programming course where
we are being taught Java. We...
asked 14 minutes ago -
Select one of the following WSJ articles and apply the type
concepts from producers and users...
asked 29 minutes ago -
Make sure you are able to describe the 3 primary goals of
seating interventions.
asked 34 minutes ago -
How does microfiltration work in industrial milk processing? is
it through pump or is it through...
asked 34 minutes ago -
A spy satellite is in circular orbit around Earth. It makes one
revolution in 7.20 h....
asked 34 minutes ago -
When sending an email from one RMU email account to another RMU
email account, the email...
asked 35 minutes ago -
When 10.0 mg of sucrose is dissolved in enough water to make
100.0 mL of solution...
asked 54 minutes ago -
I have volunteered at a butterfly garden and I am supposed to
write a journal reflection...
asked 1 hour ago -
10 Distributions of GNU Linux
10 Distributions
5 different operating Systems
What is the exact function...
asked 59 minutes ago -
Two point charges are fixed on the y axis: a negative point
charge q1 = -33...
asked 1 hour ago