Hamiltonian of System Calculator

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✖Kinetic Energy Operator is defined as the momentum operator divided by the mass of the particle.ⓘ Kinetic Energy Operator [T^{^}]			+10% -10%
✖Potential Energy Operator corresponds to the classical interaction energies between particles in the system.ⓘ Potential Energy Operator [V^{^}]			+10% -10%

✖Hamiltonian of System specifies its total energy. The sum of its kinetic energy (that of motion) and its potential energy (that of position).ⓘ Hamiltonian of System [Ĥ]

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Formula

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Hamiltonian of System

Formula

`"Ĥ" = "T"^{"^"}+"V"^{"^"}`

Example

`"13"="3"+"10"`

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Hamiltonian of System Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hamiltonian of System = Kinetic Energy Operator+Potential Energy Operator
Ĥ = T^{^}+V^{^}
This formula uses 3 Variables

Variables Used

Hamiltonian of System - Hamiltonian of System specifies its total energy. The sum of its kinetic energy (that of motion) and its potential energy (that of position).
Kinetic Energy Operator - Kinetic Energy Operator is defined as the momentum operator divided by the mass of the particle.
Potential Energy Operator - Potential Energy Operator corresponds to the classical interaction energies between particles in the system.

STEP 1: Convert Input(s) to Base Unit

Kinetic Energy Operator: 3 --> No Conversion Required
Potential Energy Operator: 10 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Ĥ = T^{^}+V^{^} --> 3+10

Evaluating ... ...

Ĥ = 13

STEP 3: Convert Result to Output's Unit

13 --> No Conversion Required

FINAL ANSWER

13 <-- Hamiltonian of System

(Calculation completed in 00.004 seconds)

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Created by Soupayan banerjee

National University of Judicial Science (NUJS), Kolkata

Soupayan banerjee has created this Calculator and 200+ more calculators!

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

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< 5 Hamiltonian System Calculators

Molecular Potential Energy of Molecules

Go Molecular Potential Energy = Energy of Bond Lengths+Energy of Torsion Angle+Energy of Bond Angles+Energy of Non Bonded Atom

Molecular Potential Energy of Non-bonded pairs of Atoms

Go Molecular Potential Energy = Energy of Electrostatic Force+Energy of Van Der Waals Force

Potential Energy Operator given Hamiltonian

Go Potential Energy Operator = Hamiltonian of System-Kinetic Energy Operator

Kinetic Operator given Hamiltonian

Go Kinetic Energy Operator = Hamiltonian of System-Potential Energy Operator

Hamiltonian of System

Go Hamiltonian of System = Kinetic Energy Operator+Potential Energy Operator

Hamiltonian of System Formula

Hamiltonian of System = Kinetic Energy Operator+Potential Energy Operator
Ĥ = T^{^}+V^{^}

What is Quantum Chemistry?

Quantum chemistry, also called molecular quantum mechanics, is a branch of chemistry focused on the application of quantum mechanics to chemical systems. Understanding electronic structure and molecular dynamics using the Schrödinger equations are central topics in quantum chemistry.

How to Calculate Hamiltonian of System?

Hamiltonian of System calculator uses Hamiltonian of System = Kinetic Energy Operator+Potential Energy Operator to calculate the Hamiltonian of System, The Hamiltonian of System formula is commonly expressed as the sum of operators corresponding to the kinetic and potential energies of a system in the form. Hamiltonian of System is denoted by Ĥ symbol.

How to calculate Hamiltonian of System using this online calculator? To use this online calculator for Hamiltonian of System, enter Kinetic Energy Operator (T^{^}) & Potential Energy Operator (V^{^}) and hit the calculate button. Here is how the Hamiltonian of System calculation can be explained with given input values -> 13 = 3+10.

FAQ

What is Hamiltonian of System?

The Hamiltonian of System formula is commonly expressed as the sum of operators corresponding to the kinetic and potential energies of a system in the form and is represented as Ĥ = T^{^}+V^{^} or Hamiltonian of System = Kinetic Energy Operator+Potential Energy Operator. Kinetic Energy Operator is defined as the momentum operator divided by the mass of the particle & Potential Energy Operator corresponds to the classical interaction energies between particles in the system.

How to calculate Hamiltonian of System?

The Hamiltonian of System formula is commonly expressed as the sum of operators corresponding to the kinetic and potential energies of a system in the form is calculated using Hamiltonian of System = Kinetic Energy Operator+Potential Energy Operator. To calculate Hamiltonian of System, you need Kinetic Energy Operator (T^{^}) & Potential Energy Operator (V^{^}). With our tool, you need to enter the respective value for Kinetic Energy Operator & Potential Energy Operator and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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