Physics · Quantum Mechanics
A particle of mass m is subjected to a potential V(x). If its time-dependent wavefunction for x > 0 is given by ψ(x, t) = α x2 e-β x e-i γ t / ℏ, and ψ(x, t) = 0 for x ≤ 0, then V(x) is represented by: (where α, β, and γ are constants of appropriate dimensions)
- 1-γ + ℏ22m ( -2x2 - 4βx + β2 )
- 2-γ + ℏ22m ( 2x2 - 4βx - β2 )
- 3-γ + ℏ22m ( 2x2 + 4βx + β2 )
- 4-γ + ℏ22m ( 2x2 - 4βx + β2 )✓
Correct answer
-γ + ℏ22m ( 2x2 - 4βx + β2 )
Download Single Question PDF
Save this question and verified answer as a clean study sheet with live clickable link.
Share with Friends & Study Groups
Challenge your peer aspirants on WhatsApp or Telegram to solve this question!
Preparing for Physics?
Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.
Want more practice questions on Quantum Mechanics?
Solve complete topic-wise tests with detailed solutions on GkGet.
Related Practice Questions
Recommended practice questions in Physics · Quantum Mechanics