Question

consider a physical system with three dimensions. An orthonormal basis from the selected state. On this...

consider a physical system with three dimensions. An orthonormal basis from the selected state. On this basis, Hamiltonian is represented by a matrix :
                         
                          [2 1 0]
                          [1 2 0]
                          [0 0 3]

find the measured system energy value and its basis.When the particles is in state | ψ >,with its basis 1/√3     [    i ]
                        [- i ]
                        [   i ]

Also find <H>,<H^2>,and <∆H>.

                 

Science   Advanced-Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let's consider a rigid system with three particles. Masses of these particles m1 = 3 kgs,...
Let's consider a rigid system with three particles. Masses of these particles m1 = 3 kgs, m2 = 4 kg, m3 = 2 kgs, and their positions are (1, 0, 1), (1, 1, -1) and Let it be (1, -1, 0). Locations are given in meters. a) What is the inertia tensor of the system? b) What are the main moments of inertia? c) What are the main axes?( this part is also important for me )
Consider the three-dimensional harmonic oscillator. Indicate the energy of the base state if twelve identical particles...
Consider the three-dimensional harmonic oscillator. Indicate the energy of the base state if twelve identical particles (spin 1) are placed in the system that do not interact with each other.
An infinite square well has a particle of mass m that is in a state |├...
An infinite square well has a particle of mass m that is in a state |├ ψ(0)〉=A(├ |1〉-├ |2〉+├ i|3〉) at time t=0. The kets ├ |1〉,├ |2〉, and ├ |3〉 correspond to the first three energy eigenstates of the infinite square well. Find the normalized state vector. What are the energy measurement outcomes and their probabilities? What is the energy expectation value? What is the normalized state vector at time t? What are the energy measurement outcomes and their...
Consider a system of distinguishable particles with five states with energies 0, ε, ε, ε, and...
Consider a system of distinguishable particles with five states with energies 0, ε, ε, ε, and 2ε (degeneracy of the states has to be determined from the given energy levels). Consider ε = 1 eV (see table for personalized parameters) and particles are in equilibrium at temperature T such that kT =0.5 eV: (i) Find the degeneracy of the energy levels and partition function of the system. (iii) What is the energy (in eV) of N = 100 (see table)...
An electron (a spin-1/2 particle) sits in a uniform magnetic field pointed in the x-direction: B...
An electron (a spin-1/2 particle) sits in a uniform magnetic field pointed in the x-direction: B = B0xˆ. a) What is the quantum Hamiltonian for this electron? Express your answer in terms of B0, other constants, and the spin operators Sx, Sy and Sz, and then also write it as a matrix (in z basis). b) What are the energy eigenvalues, and what are the associated normalized eigenvectors (in terms of our usual basis)? You may express the eigenvectors either...
1. Consider a three level system in which the energies are equally spaced (by energy ε);...
1. Consider a three level system in which the energies are equally spaced (by energy ε); each of the levels has certain (nonzero) degeneracy g . A. Write down the general expression for the average energy and the partition function of the system. B. Compute the occupations for ε = kT, when (i) all the states are singly degenerate and (ii) when the degeneracies are g0 = 1, g1 = 1, g2 = 3. Here gj represents the degeneracy of...
A system, at temperature T, has particles that can be in three different states: s=-1, 0,...
A system, at temperature T, has particles that can be in three different states: s=-1, 0, 1. The energy of the particle is given by: E_s = -μ*B*s , where μ is a constant and B is an applied magnetic field. (a) Find the expected energy value for a system of 3 particles. (b) Generalize part (a) for a system of N particles
Markov Chain Transition Matrix for a three state system. 1 - Machine 1: 2- Machine 2:...
Markov Chain Transition Matrix for a three state system. 1 - Machine 1: 2- Machine 2: 3- Inspection 1 2 3 1 0.05 0 .95 2 0 0.05 .95 3 .485 .485 .03 A. For a part starting at Machine 1, determine the average number of visits this part has to each state. (mean time until absorption, I believe) B. 1-1, 2-2, & 3-3 represent BAD units (stays at state). If a batch of 1000 units is started on Machine...
System 3 : Consider the discrete time system represented by the following difference equation: y(n) ?...
System 3 : Consider the discrete time system represented by the following difference equation: y(n) ? x(n) ? x(n ? 2) ? 0.8y(n ?1) ? 0.64 y(n ? 2) a) Draw the corresponding BLOCK DIAGRAM b) Obtain the TRANSFER FUNCTION, H(z) , for this system.   c) Calculate and plot the POLES and ZEROS of the transfer function. d) State the FREQUENCY RESPONSE Equation ,  H(ej? ) , for this system.    System 4 : Consider the discrete time system represented by...
urgent Consider the Markov chain with state space {0, 1, 2, 3, 4} and transition probability...
urgent Consider the Markov chain with state space {0, 1, 2, 3, 4} and transition probability matrix (pij ) given   2 3 1 3 0 0 0 1 3 2 3 0 0 0 0 1 4 1 4 1 4 1 4 0 0 1 2 1 2 0 0 0 0 0 1   Find all the closed communicating classes Consider the Markov chain with state space {1, 2, 3} and transition matrix  ...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT