scholarly journals The fermionic projector in a time-dependent external potential: Mass oscillation property and Hadamard states

2016 ◽  
Vol 57 (7) ◽  
pp. 072303 ◽  
Author(s):  
Felix Finster ◽  
Simone Murro ◽  
Christian Röken
Keyword(s):  
External Potential ◽  
Time Dependent ◽  
Oscillation Property ◽  
Hadamard States ◽  
Fermionic Projector

scholarly journals Fermion propagator in an external potential and generalized Airy functions

2017 ◽  
Vol 32 (32) ◽  
pp. 1750171
Author(s):  
A. L. M. Britto ◽  
Ashok K. Das ◽  
J. Frenkel
Keyword(s):  
Time Dependence ◽  
Generalized Functions ◽  
External Potential ◽  
Time Dependent ◽  
Fermion Propagator ◽  
Airy Functions ◽  
Exact Time ◽  
Dependent Potential ◽  
External Time

We study the behavior of the fermion propagator in an external time-dependent potential in 0 + 1 dimension. We show that, when the potential has up to quadratic terms in time, the propagator can be expressed in terms of generalized Airy functions (or standard Airy functions depending on the exact time dependence). We study various properties of these new generalized functions which reduce to the standard Airy functions in a particular limit.

Sign in / Sign up

Export Citation Format

Share Document