bobsmith76 said:I went through a whole calculus book and I didn't find anything that resembled sch eq. I specifically wanted to learn about that. What do you think the chapter will be called that introduced the math necessary for sch eq? Maybe it's in multivariable calculus.
Schrödinger's equation is a fundamental equation in quantum mechanics that describes the behavior of quantum particles, such as electrons, in terms of their wave functions. It is used to predict the probability of finding a particle at a certain location and time.
Multivariable calculus is essential for understanding Schrödinger's equation because it involves functions of multiple variables, such as position and time. The equation itself is a partial differential equation, which requires knowledge of multivariable calculus to solve.
Schrödinger's equation has various applications in modern technology, such as in the development of transistors, lasers, and electronic circuits. It is also used in fields such as chemistry and biology to understand the behavior of molecules and proteins at the quantum level.
In most cases, Schrödinger's equation cannot be solved analytically due to its complexity. However, there are some simplified versions of the equation that can be solved analytically, and numerical methods can also be used to approximate solutions.
Yes, a strong understanding of multivariable calculus is necessary for understanding quantum mechanics as it is the mathematical language used to describe the behavior of quantum particles. Without it, it would be challenging to comprehend the principles and equations of quantum mechanics.