ftr said:shouldn't the potential be a solution of the problem.
PeterDonis said:No, it's an input to the problem. You assume a particular potential, then solve the equations to see what the possible states of the system are.
The Two particles Dirac type equation is a mathematical equation that describes the behavior of two particles with spin 1/2, such as electrons, in quantum mechanics. It is an extension of the Dirac equation, which describes the behavior of a single particle.
The Schrödinger equation is a non-relativistic equation that describes the behavior of particles without taking into account their speed approaching the speed of light. The Two particles Dirac type equation is a relativistic equation that takes into account the high speeds of particles and their spin.
The Two particles Dirac type equation has many applications in physics, including in the fields of quantum mechanics, particle physics, and solid state physics. It is used to describe the behavior of particles in high-energy physics experiments and in the development of new technologies such as quantum computing.
No, the Two particles Dirac type equation cannot be solved analytically. It is a complex equation that requires numerical methods for solution. However, simplified versions of the equation have been solved analytically, providing insights into the behavior of particles in quantum mechanics.
The Two particles Dirac type equation is an important part of the standard model of particle physics. It helps us understand the behavior of particles at the smallest scales and has been crucial in the development of theories such as quantum electrodynamics and the electroweak theory. This equation plays a crucial role in our understanding of the fundamental building blocks of the universe.