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 ...
Notes Harmonic oscillator problem by matrix method Matrix Representation: Represent the Hamiltonian operator as a matrix in a finite-dimensional basis. You need to choose an appropriate basis, often involving position or momentum states, and …
Notes Observable An operator is said to be an observable if all eigen kets form basis in the whole state space.In quantum mechanics, an observable refers to a physical quantity or ...
Notes Dirac correspondence principle The Dirac correspondence principle, also known as Dirac's theorem, is a fundamental concept in the bridge between quantum mechanics and classical mechanics. It describes how the quantum mechanical …
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 ...
