Particle in a box function

Related BrainMass Solutions

• Smallest Value for E

  In this case we have We write down the solution to Schrodinger's equation for an arbitrary rectangular box and find the minimum energy of a particle in such a box.

• Particle of mass m in a one-dimensional impenetrable box

  144553 Particle of mass m in a one-dimensional impenetrable box A particle of mass m is in a one-dimensional impenetrable box extending from x = 0 to x = a.

• Partition functions of boxes containing bosons or fermions

  (a) What is the partition function of this system if the box contains only one particle? (b) What is the partition function of this system if the box contains two distinguishable particles?

• Particle in a box ground states

  302022 Particle in a box ground states The ground state wave function for a particle in a box confined to a 1-D box of length L is Ψ=(2/L)^(1/2) sin (pi x/ L) Suppose that the box is 10.0 nm long.

• Particle in one dimensional box

  285492 Particle in one dimensional box A particle is in the ground state of a box length L. Suddenly the box expands (symmetrically) to twice its size, leaving the wave function undisturbed.

• Particle in a box and the Harmonic Oscillator

  Use what you have learned about both the ordinary harmonic oscillator and particle in a box boundary conditions to answer the following questions. a) what does this boundary condition require the wave function to do at x = 0?

• Calculating an Infinite Box Extending Without Schrodinger

  The wave function must have nodes at the boundary of the box; and this implies that only a half-integer number of wavelengths can fit into the box, so nl -- = a 2 where l is the wavelength.

• One dimensional infinite square, particle with mass

  522243 One dimensional infinite square, particle with mass 1- Consider a particle with mass m in the one dimensional infinite square ell potential V(x) with length L at time t=0, the wave function for this particle psi (x) =A sin(pi x/L) cos(pi x/L)

• Fluctuation in particle numbers for an ideal gas

  For a single free particle in box of volume V kept at temperature T the partition function Z_1 is: Z_1 = V (2 pi m k T/h^2)^(3/2) This is valid in the "classical limit", i.e. when sqrt[2 pi m k T/h^2] is much larger than the size of the box.