Free-particle, Physics

Assignment Help:

Free-particle

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

1657_Free-particle 1.png

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

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

185_Free-particle 2.png

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, σx?


Related Discussions:- Free-particle

Digital image, What is the raw file size for an image of 80 rows and 100 co...

What is the raw file size for an image of 80 rows and 100 columns, with pixels on 14 bits and with an extra row for the header? The minimum and maximum values observed in a

Characteristics of matter waves, (i) A matter pulse is not electromagnetic ...

(i) A matter pulse is not electromagnetic in behavior. (ii) Practical observation of matter waves is possible only when the de-Broglie wavelength is of the order of the size of

Predict the angle of refraction in glass, Q. Figure s (a) and (b) show refr...

Q. Figure s (a) and (b) show refraction of a ray in air incident at 60°with the normal to a glass Answer According to the given figure for the glass-air interface:

Determine atomic number and the number of neutrons, An atom has the electro...

An atom has the electronic configuration of .1s 2 2s 2 2p 6 3s 2 3p 6 3d 10 4s 2 4p 5 . Its atomic weight is 80. Its atomic number and the number of neutrons in its nucleus

Production of electricity by light, Production of electricity by light: ...

Production of electricity by light: The Photovoltaic Cell or Solar Cell. A photovoltaic cell generates an emf when light falls onto it. Several forms of photovoltaic cell exi

Ultraviolet catastrophe, Ultraviolet catastrophe: A shortcoming of the...

Ultraviolet catastrophe: A shortcoming of the Rayleigh-Jeans formula, that tries to explain the radiancy of a blackbody at several frequencies of the electromagnetic spectrum.

Metallised paper capacitors, One side of impregnated paper capacitors is sp...

One side of impregnated paper capacitors is sprayed with metal.  When such paper is rolled, its gives higher capacitance for a given value. This capacitor has a self healing proper

Second harmonic standing waves on a string, Second Harmonic Standing Waves ...

Second Harmonic Standing Waves on a String There are a variety of patterns that could be generates through vibrations inside a string, slinky, or rope. Each pattern corresponds

gravity, what is newton law of gravitation

what is newton law of gravitation?

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd