Quantum Mechanics Answers

An electron has the following wave function: ψ(x)=A(e^-x)(1-e^-x) Determine i) the normalization constant A, and ii) the expectation value of x .

Inside a spacecraft travelling at a speed of 0.8c with respect to the earth, the time interval between two events on the earth is measured to be 30 hrs. What would the time interval be if the spacecraft was travelling at a speed of 0.9c.

Formulate a one-dimensional model describing the dynamics of phytoplankton growth C(x, t)

in a water mass taking into account the following: D , its diffusion coefficient, a its rate of

growth, b its mortality rate due to sinking. Fixing the area of interest as 0 <[= x <=1 and the initial

concentration of phytoplankton as 20 moles / cm cube, find the concentration distribution of

phytoplankton in 0 <=x <=1 at any time t .

What are applications of free particles in continues state ?

What are applications of Schrödinger cat ?

What are Applications of Schrödinger cat ?

An electron has the following wave function:


ψ(x)=A(e^-x)(1-e^-x)



Determine

i) the normalization constant A, and

ii) the expectation value of x .

The frequency of the light emitted by a galaxy receding from the earth is measured

to be (1.5×10^3) MHz. Assuming that the wavelength of the light source is 22.5 cm,

calculate how fast the galaxy is receding from the earth?

A rocket is launched from a spaceship travelling with a speed of 0.8c towards the

earth. If the speed of the rocket is 0.6c, what would be its speed as observed by an

observer on earth if the rocket is moving

(i) towards the earth (ii) away from the earth?

Two rockets of rest length L approach each other with equal speeds of 0.4c. How

long would one rocket appear to the other?