- #1
eljose79
- 1,518
- 1
Let be the propagators for the Schroedinguer,Klein-Gordon and Dirac?...are they hermitian operators?..are their eigenfunctions ortogonal?...
The Schroedinger propagator is a mathematical function used in quantum mechanics to describe the time evolution of a quantum system. It is derived from the Schroedinger equation and represents the probability amplitude for a particle to move from one point in space to another in a given amount of time.
The Klein-Gordon propagator is a mathematical function used in quantum field theory to describe the propagation of scalar particles, such as the Higgs boson. It is derived from the Klein-Gordon equation and describes the probability amplitude for a particle to move from one point in spacetime to another.
The Dirac propagator is a mathematical function used in quantum field theory to describe the propagation of fermions, such as electrons and quarks. It is derived from the Dirac equation and represents the probability amplitude for a particle to travel from one point in spacetime to another.
The Schroedinger, Klein-Gordon, and Dirac propagators are all used to describe the time evolution of quantum systems, but they apply to different types of particles. The Schroedinger propagator is used for non-relativistic particles, the Klein-Gordon propagator for scalar particles, and the Dirac propagator for fermions.
These propagators are used extensively in quantum mechanics and quantum field theory to calculate the probability of a particle's position or state at a given time. They are also used in theoretical physics to study various phenomena, such as quantum tunneling and particle interactions.