A particle in one dimension is in a potential V(x)=A\delta (x- a). Its wavefunction \psi (x) is continuous everywhere. The discontinuity in \frac{d\psi }{dx} at x=a is

Dirac delta potential — CSIR Net PYQ (Question 1)

A Dirac delta potential previous-year question (PYQ) from Quantum Mechanics (CSIR Net). Read the question, check the correct answer, then practise the full topic.

Question 1 of 6 · 5.0 marks

A particle in one dimension is in a potential

V (x) = A δ (x - a)

. Its wavefunction

ψ (x)

is continuous everywhere. The discontinuity in

\frac{d ψ}{d x}

x = a

1 $\frac{2 m}{ℏ ^{2}} A ψ (a)$
2 $A (ψ (a) - ψ (- a))$
3 $\frac{ℏ ^{2}}{2 m} A$
40

Correct answer: Option 1

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