Notes Continuous set of basis functions A continuous set of basis functions refers to a collection of functions that can be used to represent or approximate other functions in a continuous manner over a specified domain. ...
Notes Potential step In quantum mechanics, a potential step refers to a sudden change in the potential energy of a particle when it encounters a step-like barrier or potential profile. This potential step ...
Notes Bound states In quantum mechanics, bound states refer to the specific energy states of a quantum system that are confined or "bound" within a potential energy well. These bound states are characterized ...
Notes Square Potential barrier A square potential barrier is a concept in quantum mechanics and solid-state physics. It refers to a scenario where a particle encounters a potential energy barrier with a square-shaped profile. ...
Notes Time independent schrodinger wave equation The time-independent Schrodinger wave equation is a fundamental equation in quantum mechanics that describes the behaviour of a quantum system in terms of its energy and spatial dependence. It is ...
Notes Bra and Ket vector in Quantum state In quantum mechanics, "bra" and "ket" are two types of mathematical vectors used to represent quantum states in a vector space called a Hilbert space. The terms "bra" and "ket" ...
Notes Density Matrix In quantum mechanics, the density matrix (also known as the density operator) is a fundamental concept used to describe the statistical behaviour of a quantum system. It provides a way ...
Notes Double well levels For the double well potential, the WKB approximation can be applied separately in each well and in the barrier region between the wells. The resulting energy levels depend on the ...