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Exploring Quantum Physics in 1D Box: Schrödinger Equation and Tunneling Phenomenon

Dive into quantum physics concepts like Schrödinger equation, particle in a 1D box with infinite and finite potentials, and tunneling. Understand the probability of particles tunneling through barriers.

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Exploring Quantum Physics in 1D Box: Schrödinger Equation and Tunneling Phenomenon

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  1. Quantum PhysicsSchrödinger

  2. Quantum PhysicsParticle in 1D box - Infinite PotentialClassical Classical: Bohr Half Quantum Physics: Bohr

  3. Quantum PhysicsParticle in 1D box - Infinite PotentialScrödinger Equation

  4. Quantum PhysicsParticle in 1D box - Infinite PotentialScrödinger Equation

  5. U0 Quantum PhysicsParticle in 1D box - Finite PotentialScrödinger Equation Inside: V(x) = 0 Outside: V(x) = U0 The solutions and it’s derivative must match at the boundary

  6. Quantum PhysicsTunneling - Def Outside: V(x) = 0 Inside: V(x) = U0 Tunneling probability T that the particle gets through the barrier is proportional to the square of the ratio of the amplitudes of the sinusoidal wave function on the two sides of the barrier.

  7. Quantum PhysicsTunneling - Example - Electron A 2.0 eV electron encounters a barrier 5.0 eV heigh. What is the probability that it will tunnel through the barrier if the barrier width is a) 1.00 nm b) 0.50 nm ? a) b)

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