A particle of mass m is placed in the ground ...
A particle of mass m is placed in the ground state of a one- dimensional harmonic oscillator potential of the form

where the stiffness constant K can be varied externally. The ground state wavefunction has the form

where a is a constant. If suddenly, the parameter k is changed to 4K, the probability that the particle will remain in the ground state of new potential is _____ .
Correct answer is '0.47'. Can you explain this answer?
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A particle of mass m is placed in the ground state of a one- dimension...

where A is normalisation constant
when parameter K is suddenly changed to 4K, the wave function associated with ground state of new potential is given by

Probability that particle will be found in ground state p =

Put

From Normalisation equation

Let

Probability P =
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A particle of mass m is placed in the ground state of a one- dimensional harmonic oscillator potential of the formwhere the stiffness constant K can be varied externally. The ground state wavefunction has the formwhere a is a constant. If suddenly, the parameter k is changed to 4K, the probability that the particle will remain in the ground state of new potential is _____ .Correct answer is '0.47'. Can you explain this answer?
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A particle of mass m is placed in the ground state of a one- dimensional harmonic oscillator potential of the formwhere the stiffness constant K can be varied externally. The ground state wavefunction has the formwhere a is a constant. If suddenly, the parameter k is changed to 4K, the probability that the particle will remain in the ground state of new potential is _____ .Correct answer is '0.47'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A particle of mass m is placed in the ground state of a one- dimensional harmonic oscillator potential of the formwhere the stiffness constant K can be varied externally. The ground state wavefunction has the formwhere a is a constant. If suddenly, the parameter k is changed to 4K, the probability that the particle will remain in the ground state of new potential is _____ .Correct answer is '0.47'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle of mass m is placed in the ground state of a one- dimensional harmonic oscillator potential of the formwhere the stiffness constant K can be varied externally. The ground state wavefunction has the formwhere a is a constant. If suddenly, the parameter k is changed to 4K, the probability that the particle will remain in the ground state of new potential is _____ .Correct answer is '0.47'. Can you explain this answer?.
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