Title of article :
Multi-time wave functions for quantum field theory Original Research Article
Author/Authors :
S?ren Petrat، نويسنده , , Roderich Tumulka، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2014
Pages :
38
From page :
17
To page :
54
Abstract :
Multi-time wave functions such as image have one time variable image for each particle. This type of wave function arises as a relativistic generalization of the wave function image of non-relativistic quantum mechanics. We show here how a quantum field theory can be formulated in terms of multi-time wave functions. We mainly consider a particular quantum field theory that features particle creation and annihilation. Starting from the particle–position representation of state vectors in Fock space, we introduce multi-time wave functions with a variable number of time variables, set up multi-time evolution equations, and show that they are consistent. Moreover, we discuss the relation of the multi-time wave function to two other representations, the Tomonaga–Schwinger representation and the Heisenberg picture in terms of operator-valued fields on space–time. In a certain sense and under natural assumptions, we find that all three representations are equivalent; yet, we point out that the multi-time formulation has several technical and conceptual advantages.
Keywords :
Tomonaga–Schwinger equation , Many-time formalism , Particle–position representation of quantum state , Consistent multi-time Schr?dinger equations , Relativistic wave function
Journal title :
Annals of Physics
Serial Year :
2014
Journal title :
Annals of Physics
Record number :
1207245
Link To Document :
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