Quantum particle of mass m m is bound in the ground state of the one-dimensional parabolic potential well K 0 x 2 2 K0x22 until time t = 0 t=0. Between time moments of t = 0 t=0 and t = T t=T the stiffness of the spring is ramped-up as K ( t ) = K 0 + t T [ K 1 β K 0 ) 0 β€ t β€ T ( 3 ) K(t)=K0+tT[K1βK0)0β€tβ€T(3) and it stays equal to K 1 K1 afterwards, at t > T t>T. The overall change of the stiffness is small: | K 1 β K 0 | βͺ K 0 |K1βK0|βͺK0.
(a) Does any work need to be done to exercise this ramp-up? Can this work be dependent on the duration T of the ramp-up and why?
(b) If the answer to the latter question is positive, evaluate the needed work in the lowestorder of the perturbation theory.
(c) Analyze the T-dependent part of the work, if any, and find out how much of the variation in the amount of work is achieved between the adiabatic ( T β [infinity] Tβ[infinity]) and nearly instantaneous ( T β 0 Tβ0)limits?
Answers: 3
Physics, 22.06.2019 12:00, ameliaxbowen7
Suppose a comet has an orbital period of 309.1 years around the sun. what is itβs average distance from the sun?
Answers: 1
Physics, 22.06.2019 15:00, depinedainstcom
What property of an object determines its inertia?
Answers: 2
Physics, 22.06.2019 23:00, electrofy456
Which of the following is another term for a planned economy
Answers: 1
Physics, 23.06.2019 01:00, asilverman
Are formed where bumps from two surfaces come into contact ?
Answers: 1
Quantum particle of mass m m is bound in the ground state of the one-dimensional parabolic potential...
Mathematics, 17.11.2020 07:40
Mathematics, 17.11.2020 07:40
English, 17.11.2020 07:40
Mathematics, 17.11.2020 07:40
Mathematics, 17.11.2020 07:40
English, 17.11.2020 07:40
Health, 17.11.2020 07:40
Mathematics, 17.11.2020 07:40