where?accdd said:I have read that the Schrodinger equation describes a QFT in 0 dimensions.
It depends. The general Schrodinger equation tells you that time evolution of a quantum state is described by the Hamiltonian. The non-relativistic Hamiltonian gives you then the non-relativistic approximation of whatever field you're considering (spin 1/2, spin 0, ...)accdd said:What is the Schrodinger equation in QFT? is it the nonrelativistic approximation of a Klein-Gordon scalar field? or Is there more?
I have read that the Schrodinger equation describes a QFT in 0 dimensions.
I accept every answer
No.accdd said:What is the Schrodinger equation in QFT? is it the nonrelativistic approximation of a Klein-Gordon scalar field?
A QFT in 0 space dimensions decribes (in the simplest case) an anharmonic oscillator in the Heisenberg picture, whereas the Schrödinger equation decribes (in the simplest case) an anharmonic oscillator in the Schrödinger picture. Both descriptions are equivalent, but the Schrödinger picture is usually easier to handle, hence is the way most commonly taught.accdd said:I have read that the Schrodinger equation describes a QFT in 0 dimensions.
That sentence is wrong, sorry, I meant to say I read online (a question on stackexchange) that quantum mechanics is related to scalar QFT in 0+1 dimensions. I would like to know more about it.malawi_glenn said:where?
Try this https://authors.library.caltech.edu/8383/1/BOOejp07b.pdfaccdd said:I would like to know more about it.
You might also be interested in reading the section 'Why does QFT look so different from QM?' in Chapter B8 of my Theoretical Physics FAQ.accdd said:Thanks to everyone
The Schrodinger equation in quantum field theory is a mathematical equation that describes the behavior of quantum particles in a field. It is a fundamental equation in quantum mechanics and is used to predict the probability of finding a particle at a certain position and time.
The Schrodinger equation in quantum field theory is derived from the principles of quantum mechanics and special relativity. It combines the concepts of wave functions and operators to describe the behavior of particles in a field.
The Schrodinger equation tells us about the probability of finding a quantum particle at a certain position and time. It also describes how the wave function of a particle changes over time and how it interacts with other particles in the field.
The Schrodinger equation differs from the classical wave equation in that it takes into account the quantum nature of particles, while the classical wave equation only describes the behavior of classical particles. The Schrodinger equation also includes the concept of probability, which is not present in the classical wave equation.
The Schrodinger equation has many applications in quantum field theory, including predicting the behavior of subatomic particles, understanding the properties of materials, and developing new technologies such as quantum computing. It is also used in various fields such as chemistry, biology, and engineering.