Quantum States of a Field Partitioned by an Accelerated Frame
198911 pages
Published in:
- Phys.Rev.D 40 (1989) 1037-1047
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Abstract: (APS)
The discrete Minkowski Bessel mode technology is developed. This development includes (i) the eigenvalue spectrum, (ii) the phase-space integral formulation of the quantized Klein-Gordon (KG) field in accelerated frames with a finite bottom (b>0), and (iii) the procedure for making the transition to bottomless (b=0) frames. This technology is used to show that the Rindler vacuum state of an acceleration-partitioned real KG field is perpendicular not only to the Minkowski vacuum state, but also to every quantum state associated with a "detector" accelerating through what initially was the Minkowski vacuum. In fact, every element of the Hilbert space containing the Rindler vacuum is perpendicular to the Hilbert space containing the Minkowski vacuum.- QUANTUM GRAVITY
- Klein-Gordon equation
- FIELD THEORY: ACCELERATION
- FIELD EQUATIONS: SOLUTION
- APPROXIMATION: WKB approximation
- FIELD THEORY: VACUUM STATE
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