GATE Quantum Mechanics: one dimensional potentials: step potential, finite rectangular well, tunnelling from a potential barrier, particle in 1,2,3-dimensional box, particle in single and double delta function potentials, 1,2,3 dimensional harmonic oscillator: concept of degeneracy – Previous Year Questions
10 GATE previous year questions on one dimensional potentials: step potential, finite rectangular well, tunnelling from a potential barrier, particle in 1,2,3-dimensional box, particle in single and double delta function potentials, 1,2,3 dimensional harmonic oscillator: concept of degeneracy (Quantum Mechanics, Physics) with answers and explanations, from every paper.
- GATE 2022 PH Q34 – In a width-2a infinite well, (x)=2( x/a)+3( x/(2a))+(3 x/(2a))6a. Find probability in n=2 as a percentage, nearest integer.
- GATE 2022 PH Q45 – For the harmonic oscillator a n=n+1 n+1 and x=/(2m)(a+a). Which is the first three rows and columns of x?
- GATE 2023 PH Q51 – A particle occupies a 2D infinite square well 0 x,y L. Its wavefunction vanishes only on y=L/2 apart from the boundaries. If its energy is E, what is…
- GATE 2026 PH Q39 – The Hamiltonian for a quantum particle of mass m is given below, where <. The Schrödinger equation for this system can be solved exactly using the…
- GATE 2026 PH Q41 – The energy E and degeneracy d of the second excited state of a three-dimensional, isotropic quantum harmonic oscillator with angular frequency ω are
- GATE 2025 PH Q13 – A particle of mass m is in a potential V(x)=12m2x2 for x>0 and V(x)= for x0, where is the angular frequency. The ratio of the energies corresponding…
- GATE 2025 PH Q43 – Let m, n denote energy eigenstates of a one-dimensional simple harmonic oscillator, with position and momentum operators X, P. The matrix element m P…
- GATE 2024 PH Q13 – A particle in an infinite one-dimensional well has (x,t)=23e-iE 1t/ 1(x)+16ei/6e-iE 2t/ 2(x)+16ei/4e-iE 3t/ 3(x). The normalized 1, 2, 3 are the…
- GATE 2024 PH Q22 – A particle has V(x)= for x0, V(x)=V 0 for a x b, and zero elsewhere, with b>a>0. For E<V 0, which schematic wavefunction is valid?
- GATE 2024 PH Q47 – V(x)=V 0+12m 02x2 for x > 0 and infinity for x ≤ 0. Figures P,Q,R,S specify offsets and frequencies. With E j(X) the j-th level of X, which…