Notes Double well model of a molecule The double well model is a simplified representation used in quantum mechanics to describe certain molecular systems, particularly those with bistable potential energy surfaces. In this model, the …

Notes Comparison of classical and quantum probability density of harmonic oscillator The comparison between classical and quantum probability density of a harmonic oscillator highlights some fundamental differences between classical mechanics and quantum mechanics. The harmonic …

Notes The Coherent states The eigen states of annihilation operator are known as coherent states.The normalized ket ∣α⟩ represents a quantum state in quantum mechanics. It's often used to describe a ...

Notes Classical limit in Quantum mechanics The classical limit in quantum mechanics refers to the behaviour of quantum systems becoming more similar to the predictions of classical physics when certain conditions are met, such as when ...

Notes Schrodinger picture The Schrödinger picture is one of the two fundamental ways to describe the behaviour of quantum systems in quantum mechanics, the other being the Heisenberg picture. These two pictures provide ...

Notes Smooth Barrier In quantum mechanics, a smooth barrier refers to a situation where a particle encounters a barrier or potential energy region that changes gradually and smoothly rather than abruptly. This concept ...

Notes Uncertainity in measurement In quantum mechanics, the Heisenberg Uncertainty Principle states that certain pairs of physical properties, like position and momentum or energy and time, cannot be measured with arbitrary precision …

Notes Heisenberg picture in Quantum Mechanics The Heisenberg picture is one of two commonly used formulations in quantum mechanics, the other being the Schrödinger picture. In the Heisenberg picture, the observables (operators) evolve with time …