Free-particle

A.  Suppose that the wavefunction for a free-particle is given by the wavefunction

Find the value of A that normalizes Ψ (x).

B.  The Hamiltonian operator for a free particle is just the kinetic energy operator

Is  Ψ(x) an eigenfunction of the free-particle Hamiltonian?

C.  Can the energy for a quantum mechanical free particle ever be "well-defined"?  Why or why not?

D.  Compute the expectation (average) value of < H >, < p >, and < x > for the Ψ(x) given.

E.  What is the uncertainty in total energy as a function of the parameter, σ_x?

Posted Date: 2/15/2013 6:22:13 AM | Location : United States

Ask an Expert

Related Discussions:- Free-particle, Assignment Help, Ask Question on Free-particle, Get Answer, Expert's Help, Free-particle Discussions

Write discussion on Free-particle
Your posts are moderated

Write your message here..

Related Questions

Digital electronics: binary system, (i) A number system which has only two ... (i) A number system which has only two characters i.e. 0 (Low value) and 1 (High value) is known as binary system (ii) The electrical circuit which operates only in these two di

Illustrate how temperature measured in fiber optic sensor, Illustrate how t... Illustrate how temperature measured in fiber optic sensor. Temperature can be measured via using a fiber which has evanescent loss which varies along with temperature. In the f

Wave optics, can I get ready made project for wave optic? can I get ready made project for wave optic?

Transistors, Construct depletion MOSFET Construct depletion MOSFET

Define adiabatic atmospheres, Define Adiabatic Atmospheres (Boston, Marylan... Define Adiabatic Atmospheres (Boston, Maryland)? The lower 10-15 km of the troposphere, the atmosphere, is often in a convective stable state with constant entropy, not constan

Determine the current in the coil and its phase angle, A coil of inductance... A coil of inductance 159.2mH and resistance 40 is connected in parallel with a 30µF capacitor across a 240V, 50Hz supply. Calculate (a) the current in the coil and its phase ang

Current electricity, derive an expression for drift velocity derive an expression for drift velocity

Parallelogram Of Forces, State and prove law or Parallelogram of Froces State and prove law or Parallelogram of Froces

Determine the velocity of a wave frequency, The frequency of a wave is 50 H... The frequency of a wave is 50 Hertz and its wavelength is 25 meters. What is the velocity of this wave? Ans: The velocity of given wave is 1250 meters/second.

The water will not spill, The water will not spill Get a small pail and... The water will not spill Get a small pail and fill it nearly full with water . Swing it around rapidly at arms' length and the water will not spill because of centrifugal force