Ground State Energy: Explanation & Calculation

Thread starter Tanmoy
Start date May 10, 2020
Tags

Energy Ground Ground state Ground state energy Hamiltonian State

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SUMMARY

The discussion centers on solving the Schrödinger equation, specifically the time-independent form ##H\Psi = E\Psi##, to determine the allowed energy eigenvalues of a quantum system. Participants emphasize the importance of posting personal attempts at solutions to facilitate effective assistance. The conversation references guidelines for homework help, underscoring the collaborative nature of problem-solving in physics.

PREREQUISITES

Understanding of quantum mechanics principles
Familiarity with the Schrödinger equation
Knowledge of eigenfunctions and eigenvalues
Basic problem-solving skills in physics

NEXT STEPS

Study the derivation of the time-independent Schrödinger equation
Learn about the concept of quantum mechanical operators
Explore examples of energy eigenvalue problems in quantum mechanics
Review guidelines for effective collaboration in academic discussions

USEFUL FOR

Students of quantum mechanics, physics educators, and anyone seeking to deepen their understanding of energy calculations in quantum systems.

May 10, 2020

Tanmoy

Homework Statement: How to find ground state energy from given Hamiltonian?

Relevant Equations: H=bx^2/(2m)+ax^2+bx+c

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May 10, 2020

BvU

Science Advisor

Homework Helper

Hello @Tanmoy , :welcome:

!

Well, solve ##H\Psi = E\Psi## and see what energies the eigenfunctions are allowed to have !

We can't help you if you don't post an attempt at solution of your own, see:

https://www.physicsforums.com/threads/homework-help-guidelines-for-students-and-helpers.686781/