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Which textbooks formulate Quantum Mechanics (or, for that matter, QFT) in Langrangian terms?
The Lagrangian formulation of Quantum Mechanics is a mathematical framework used to describe the behavior of quantum systems. It is based on the principle of stationary action, which states that a system will follow the path that minimizes its action, a quantity related to the energy of the system.
The Schrodinger equation is a differential equation that describes the time evolution of a quantum system. The Lagrangian formulation, on the other hand, is a more general and abstract approach that can be used to derive the Schrodinger equation and other important equations in Quantum Mechanics.
The Lagrangian formulation allows for a more intuitive understanding of the physical principles behind quantum systems. It also provides a more elegant and concise mathematical framework for deriving important equations and solving complex problems.
Like any mathematical framework, the Lagrangian formulation has its limitations. It may not be suitable for describing certain types of systems, such as those with strong interactions or in situations where the number of particles is constantly changing.
The Lagrangian formulation is closely related to classical mechanics, as it was originally developed as a generalization of classical mechanics. It uses similar principles, such as the principle of least action, but applies them to quantum systems which behave differently than classical systems.