Quantum Simulation of Klein Gordon Equation and Observation of Klein Paradox in IBM Quantum Computer

Understand

The Klein Gordon equation was the first attempt at unifying special relativity and quantum mechanics.

• While initially discarded this equation of "many fathers" can be used in understanding spinless particles that consequently led to the discovery of pions and other subatomic particles.
• The equation leads to the development of Dirac equation and hence quantum field theory.
• It shows interesting quantum relativistic phenomena like Klein Paradox and "Zitterbewegung", a rapid vibrating movement of quantum relativistic particles.