Notes Classical turning points and connection formula In quantum mechanics, classical turning points and connection formulas are important concepts that help describe the behaviour of wave functions in different regions of a potential energy landscape. …

Notes Phase Invariance Phase represents state of vibration of a curve at given instant. It is expressed in terms of radian. It is given byPhase is an invariant quantity.Phase lapsed at ...

Notes Four dimensional space and light cone Four-dimensional space, often denoted as 4D space, is a mathematical concept used in various fields such as physics and mathematics. It represents a space with four dimensions, typically labeled as …

Notes London's theory The London theory, also known as the London equations, is a fundamental concept in the field of superconductivity. Superconductivity is a remarkable state of matter where certain materials, when …

Notes Projection operator onto q dimensional subspace 𝜖q The projection operator onto a q-dimensional subspace in quantum mechanics is a mathematical tool used to isolate a specific subspace within a larger quantum system. Let's break down this concept:...

Notes Significance of a+ and a In quantum mechanics, "a+" and "a" are operators that are used to describe the behaviour of a quantum system, like the magical bouncing ball we talked about earlier. They're like ...

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 ...