TY - JOUR
TI - Evolution equations for multi-time wavefunctions
DO - https://doi.org/doi:10.7282/T3SB45GJ
PY - 2010
AB - Multi-time wavefunctions are of particular interest in relativistic quantum mechanics. A multitime wavefunction has separate time-variables for each particle; this makes it a manifestly Lorentz-invariant object. The time-evolution equations are systems of Schroedinger equations; one for each particle's time variable and each with a certain Hamiltonian. We derive conditions under which these systems of equations have a common solution. Also, we derive three main results about concrete multi-time models. First we show that a model proposed by Duerr and Tumulka in 2001 is inconsistent. The second result is a consistent model for a constant number of particles with a cutoff pair potential. The third result is a consistent theory for a simple quantum field theoretic model with creation and annihilation of particles. Existence and uniqueness of solutions is proven for both models.
KW - Physics and Astronomy
KW - Relativistic mechanics
KW - SchrÃ¶dinger equation
KW - Hamiltonian operator
LA - English
ER -