Appendix C. The Gaussian Wave Packet Centered at k = k0.

2018 ◽  
pp. 433-436
Keyword(s):  
Wave Packet ◽  
Gaussian Wave Packet

GEOMETRIC PHASES, SQUEEZED QUANTUM STATES AND GAUSSIAN WAVE PACKET STATES OF RELIC GRAVITONS

2012 ◽  
Vol 18 ◽  
pp. 13-17
Author(s):  
K. BAKKE ◽  
I. A. PEDROSA ◽  
C. FURTADO
Keyword(s):  
Wave Packet ◽  
Linear Time ◽  
Invariant Operator ◽  
Quantum States ◽  
Time Dependent ◽  
Gaussian Wave Packet ◽  
Geometric Phases ◽  
Uncertainty Product ◽  
Quantized Field ◽  
Generalized Time

In this contribution, we discuss quantum effects on relic gravitons described by the Friedmann-Robertson-Walker (FRW) spacetime background by reducing the problem to that of a generalized time-dependent harmonic oscillator, and find the corresponding Schrödinger states with the help of the dynamical invariant method. Then, by considering a quadratic time-dependent invariant operator, we show that we can obtain the geometric phases and squeezed quantum states for this system. Furthermore, we also show that we can construct Gaussian wave packet states by considering a linear time-dependent invariant operator. In both cases, we also discuss the uncertainty product for each mode of the quantized field.

Solving Time-dependent Schrödinger Equation Using Gaussian Wave Packet Dynamics

2018 ◽  
Vol 73 (9) ◽  
pp. 1269-1278
Author(s):  
Min-Ho Lee ◽  
Chang Woo Byun ◽  
Nark Nyul Choi ◽  
Dae-Soung Kim
Keyword(s):  
Schrödinger Equation ◽  
Wave Packet ◽  
Schrodinger Equation ◽  
Time Dependent ◽  
Gaussian Wave Packet ◽  
Wave Packet Dynamics

scholarly journals Strong quantum violation of the gravitational weak equivalence principle by a non-Gaussian wave packet

2011 ◽  
Vol 29 (2) ◽  
pp. 025010 ◽  
Author(s):  
P Chowdhury ◽  
D Home ◽  
A S Majumdar ◽  
S V Mousavi ◽  
M R Mozaffari ◽  
...  
Keyword(s):  
Wave Packet ◽  
Equivalence Principle ◽  
Gaussian Wave Packet ◽  
Weak Equivalence ◽  
Weak Equivalence Principle ◽  
Non Gaussian
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