EP 228: Quantum Mechanics Lecture 2: review of particle in a box, - - PowerPoint PPT Presentation

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EP 228: Quantum Mechanics Lecture 2: review of particle in a box, - - PowerPoint PPT Presentation

Aug 11, 2023 10 likes •476 views

EP 228: Quantum Mechanics Lecture 2: review of particle in a box, potential well, barrier,harmonic oscillator P. Ramadevi, 2 nd floor Dept of Physics, IIT Bombay rama0072006@gmail.com Extn: 7563 Particle in a one-dimensional box Particle in

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EP 228: Quantum Mechanics

Lecture 2: review of particle in a box, potential well, barrier,harmonic oscillator

  • P. Ramadevi, 2nd floor Dept of

Physics, IIT Bombay rama0072006@gmail.com Extn: 7563

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Particle in a one-dimensional box

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Particle in a two dimensional box

  • We will first write schrodinger equation in

two dimensions

  • Seperable wavefunctions for potential energy

U(x,y)= u(x)+v(y)

  • Then, we will look at the solution for the

particle in the two-dimensional box

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Two dimensional Schrodinger equation

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Finite potential well

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Wavelength in the finite potential well is greater than that in infinite well

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Time-dependent wavefunction

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Tunnel effect

  • We have seen infinite potential well and finite

potential well problems.

  • Also for time independent potential energy,

we know the time dependence of the wavefunction.

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